Amardev Singh Math Square
Amardev Singh Math Square
  • Видео 394
  • Просмотров 414 715
If the shortest distance of the parabola y2 = 4x from the centre of the circle ...
If the shortest distance of the parabola y2 = 4x from the centre of the circle x2 + y2 - 4x - 16y + 14 = 0 is d, then d2 is equal to ______ | 27th Jan, 2024; 1st Shift | Application of Derivative | Parabola| 11th CBSE | Conic Section| JEE Main | Maths | By Amardev Sir | Amardev Singh Math Square |
#Iftheshortestdistanceoftheparabolay2=4xfromthecentreofthecircle, #x2+y2-4x-16y+14=0isd, #thend2isequalto______, #27thJan2024, #1stShift, #11thCBSE, #ApplicationofDerivative, #TangentNormal, #Derivative, #ShortestDistanceofapoint, #3-DGeometry, #PastYearQuestions, #PastYear2024, #11thMath, #CBSE,
For more JEE Past Questions, Subscribe us to:
ruclips.net/channel/UCPs85jZFPSwVun3-4b32C_g
Просмотров: 300

Видео

The distance of the point (7,-2,11) from the line x-6/1=y-4/0=z-8/3 along...6:34The distance of the point (7,-2,11) from the line x-6/1=y-4/0=z-8/3 along...
The distance of the point (7,-2,11) from the line x-6/1=y-4/0=z-8/3 along...
Просмотров 1194 месяца назад
The distance of the point (7,-2,11) from the line x-6/1=y-4/0=z-8/3 along the line x-2/2=y-1/-3=z-5/6, is | 27th Jan, 2024; 1st Shift | 3-D Geometry| 12th CBSE | 3-D | JEE Main | Maths | By Amardev Sir | Amardev Singh Math Square | #Thedistanceofthepoint(7/-2/11)fromthelinex-6/1=y-4/0=z-8/3, #alongthelinex-2/2=y-1/-3=z-5/6is , #27thJan2024, #1stShift, #12th CBSE, #Distanceofapoint, #3-DGeometry...
If int_(0)^(1)(1)/(sqrt(3+x)+sqrt(1+x))dx=a+b sqrt(2)+c sqrt(3) ,where a,b,c....4:02If int_(0)^(1)(1)/(sqrt(3+x)+sqrt(1+x))dx=a+b sqrt(2)+c sqrt(3) ,where a,b,c....
If int_(0)^(1)(1)/(sqrt(3+x)+sqrt(1+x))dx=a+b sqrt(2)+c sqrt(3) ,where a,b,c....
Просмотров 885 месяцев назад
If int_(0)^(1)(1)/(sqrt(3 x) sqrt(1 x))dx=a b sqrt(2) c sqrt(3) ,where a,b,c are rational numbers, then 2a 3b-4c, is equal to | 27th Jan, 2024; 1st Shift | Definite Integration| 12th CBSE | Integration | JEE Main | Maths | By Amardev Sir | Amardev Singh Math Square | #Ifint_(0)^(1)(1)/(sqrt(3 x) sqrt(1 x))dx=a bsqrt(2) csqrt(3), #wherea/b/carerationalnumbers, #then2a 3b-4cisequalto , #27thJan20...
If (a,b) be the orthocenter of the triangle whose vertices are (1,2), (2,3) and (3,1) and ...9:42If (a,b) be the orthocenter of the triangle whose vertices are (1,2), (2,3) and (3,1) and ...
If (a,b) be the orthocenter of the triangle whose vertices are (1,2), (2,3) and (3,1) and ...
Просмотров 1815 месяцев назад
If (a,b) be the orthocenter of the triangle whose vertices are (1,2), (2,3) and (3,1) and I1 =∫ba xsin(4 x − x2)dx , I2 = ∫ba sin(4x−x2 )dx, then 36 I1/I2 is equal to | 27th Jan, 2024; 1st Shift | Coordinate Geometry | Definite Integration | 12th CBSE | JEE Main | Maths | By Amardev Sir | Amardev Singh Math Square | #If(aandb)betheorthocenterofthetrianglewhoseverticesare(1and2), #andI1=∫baxsin(...
n-1Cr= (k2-8)nCr+1 if and only if...5:40n-1Cr= (k2-8)nCr+1 if and only if...
n-1Cr= (k2-8)nCr+1 if and only if...
Просмотров 2425 месяцев назад
n-1Cr= (k2-8)nCr 1 if and only if: | 27th Jan, 2024; 1st Shift | Binomial Theorem | 11th CBSE | JEE Main | Maths | By Amardev Sir | Amardev Singh Math Square | #n-1Cr=(k2-8)nCr 1ifandonlyif, #1stShift, #Permutation, #Combination, #Permutation&Combination, #11th CBSE, #PastYearQuestions, #PastYear2023, #11thMath, #CBSE, Link for Pdf file of this question: drive.google.com/file/d/1Ff0zwlDExWl2LLo...
If the constant term in the expansion of (3x^2-1/2x^5)7 ....3:24If the constant term in the expansion of (3x^2-1/2x^5)7 ....
If the constant term in the expansion of (3x^2-1/2x^5)7 ....
Просмотров 2695 месяцев назад
If the constant term in the expansion of (3x^2-1/2x^5)7 is α, then [α] is equal to | 08th April, 2023; 1st Shift | Binomial Theorem | 11th CBSE | JEE Main | Maths | By Amardev Sir | Amardev Singh Math Square | #Iftheconstanttermintheexpansionof(3x^2-1/2x^5)7isα, #then[α]isequalto , #08thApril2023, #1stShift, #Permutation, #Combination, #Permutation&Combination, #Rank, #11th CBSE, #PastYearQuest...
Five digit numbers are formed using the digits 1,2,3,5,7 with ....7:23Five digit numbers are formed using the digits 1,2,3,5,7 with ....
Five digit numbers are formed using the digits 1,2,3,5,7 with ....
Просмотров 3555 месяцев назад
Five digit numbers are formed using the digits 1,2,3,5,7 with repetitions and are written in descending order with serial numbers, e.g. the number 77777 has serial number 1. Then, the serial number of 35337 is | 29th June, 2023; 1st Shift | Permutation & Combination | 11th CBSE | JEE Main | Maths | By Amardev Sir | Amardev Singh Math Square | #Fivedigitnumbersareformedusingthedigits, #12357with...
Let the tangent at two points A and B on the circle x2+y2-4x+3=0 meets at origin O(0,0). Then the...6:54Let the tangent at two points A and B on the circle x2+y2-4x+3=0 meets at origin O(0,0). Then the...
Let the tangent at two points A and B on the circle x2+y2-4x+3=0 meets at origin O(0,0). Then the...
Просмотров 4967 месяцев назад
Let the tangent at two points A and B on the circle x2 y2-4x 3=0 meets at origin O(0,0). Then the area of the triangle OAB is | 28th July, 2022; 2nd Shift | Circles| 11th CBSE | JEE Main | By Amardev Sir | Amardev Singh Math Square | #LetthetangentattwopointsAandBonthecircle, #x2 y2-4x 3=0meetsatoriginO(0or0), #ThentheareaofthetriangleOABis , #28thJuly2022, #1stShift, #Circle, #tangent, #orthoc...
Let C be the centre of the circle x2+y2-x+2y=11/4 and P be a point on the circle. A line passes ..7:54Let C be the centre of the circle x2+y2-x+2y=11/4 and P be a point on the circle. A line passes ..
Let C be the centre of the circle x2+y2-x+2y=11/4 and P be a point on the circle. A line passes ..
Просмотров 5307 месяцев назад
Let C be the centre of the circle x2 y2-x 2y=11/4 and P be a point on the circle. A line passes through the point C, makes an angle of π/4 with the line CP and intersects the circle at the point Q and R. Then the area of the triangle PQR (in unit2) is | 28th July, 2022; 1st Shift | Circles| 11th CBSE | JEE Main | By Amardev Sir | Amardev Singh Math Square | #LetCbethecentreofthecircle, #x2 y2-x...
If the circles x2+y2-2gx+6y-19c=0, g, c ϵ R passes through the points (6,1) and its centre lies...4:17If the circles x2+y2-2gx+6y-19c=0, g, c ϵ R passes through the points (6,1) and its centre lies...
If the circles x2+y2-2gx+6y-19c=0, g, c ϵ R passes through the points (6,1) and its centre lies...
Просмотров 4057 месяцев назад
If the circles x2 y2-2gx 6y-19c=0, g, c ϵ R passes through the points (6,1) and its centre lies on the line x - 2cy = 8, then the length of intercept made by the circle on x-axis is | 27th July, 2022; 1st Shift | Circles| 11th CBSE | JEE Main | By Amardev Sir | Amardev Singh Math Square | #Ifthecirclesx2 y2-2gx 6y-19c=0, #passesthroughthepoints(6or1), #anditscentreliesonthelinex-2cy=8, #thenthe...
The number of seven digit positive integers formed using the digits 1,2,3, and 4 only and sum of ...3:53The number of seven digit positive integers formed using the digits 1,2,3, and 4 only and sum of ...
The number of seven digit positive integers formed using the digits 1,2,3, and 4 only and sum of ...
Просмотров 1,8 тыс.7 месяцев назад
The number of seven digit positive integers formed using the digits 1,2,3, and 4 only and sum of the digits equal to 12 is | 13th April, 2023; 1st Shift| Permutation | 11th CBSE | JEE Main | By Amardev Sir | Amardev Singh Math Square | #Thenumberofsevendigitpositiveintegersformedusingthedigits, #onlyandsumofthedigitsequalto12is , #13thApril2023, #1stShift, #Permutation, #PermutationandCombinati...
A point P moves so that the sum of squares of its distances from the points (1,2) and (-2,1) is 14.8:17A point P moves so that the sum of squares of its distances from the points (1,2) and (-2,1) is 14.
A point P moves so that the sum of squares of its distances from the points (1,2) and (-2,1) is 14.
Просмотров 4987 месяцев назад
A point P moves so that the sum of squares of its distances from the points (1,2) and (-2,1) is 14. Let f(x,y) = 0 be the roots of P, which intersects the x-axis at the points A,B and y-axis at the point C,D. Then the area of quadrilateral ACBD is equal to | 25th July, 2022; 1st Shift| Circles| 11th CBSE | JEE Main | By Amardev Sir | Amardev Singh Math Square | #ApointPmovessothatthesumofsquare...
A circle touches both the y-axis and the line x+y=0. Then the locus of its centre is _________3:16A circle touches both the y-axis and the line x+y=0. Then the locus of its centre is _________
A circle touches both the y-axis and the line x+y=0. Then the locus of its centre is _________
Просмотров 4247 месяцев назад
A circle touches both the y-axis and the line x y=0. Then the locus of its centre is | 25th June, 2022; 2nd Shift| Circles| 11th CBSE | JEE Main | By Amardev Sir | Amardev Singh Math Square | #Acircletouchesboththey-axisandthelinex y=0, #Thenthelocusofitscentreis, #25thJune2022, #2ndShift, #Circle, #tangent, #orthocentre, #Chord of contact, #locus, #linesegment, #Image, #Combination, #CBSE, #11...
Let the abscissae of the two points P and Q on a circle be the roots of x2-4x-6 = 0 and the ...4:40Let the abscissae of the two points P and Q on a circle be the roots of x2-4x-6 = 0 and the ...
Let the abscissae of the two points P and Q on a circle be the roots of x2-4x-6 = 0 and the ...
Просмотров 3677 месяцев назад
Let the abscissae of the two points P and Q on a circle be the roots of x2-4x-6 = 0 and the ordinates of P and Q be the roots of y2 2y-7=0. If PQ is a diameter of the circle x2 y2 2ax 2by c=0, then the value of (a b c) is to | 26th July, 2022; 2nd Shift| Circles| 11th CBSE | JEE Main | By Amardev Sir | Amardev Singh Math Square | #LettheabscissaeofthetwopointsPandQonacirclebetherootsofx2-4x-6=0...
Let y=x+2,4y=3x+6 and 3y=4x+1 be three tangent lines to the circle (x-h)2+(y-k)2=r2. Then...3:37Let y=x+2,4y=3x+6 and 3y=4x+1 be three tangent lines to the circle (x-h)2+(y-k)2=r2. Then...
Let y=x+2,4y=3x+6 and 3y=4x+1 be three tangent lines to the circle (x-h)2+(y-k)2=r2. Then...
Просмотров 7877 месяцев назад
Let y=x 2,4y=3x 6 and 3y=4x 1 be three tangent lines to the circle (x-h)2 (y-k)2=r2. Then h k is equal to | 30th Jan, 2023; 1st Shift| Circles| 11th CBSE | JEE Main | By Amardev Sir | Amardev Singh Math Square | #Lety=x 2, #4y=3x 6and3y=4x 1bethreetangentlinestothecircle, #(x-h)2 (y-k)2=r2, #Thenh kisequalto , #30thJan2023, #1stShift, #Circle, #tangent, #orthocentre, #Chord of contact, #locus, ...
The locus of the mid-point of the chords of the circle C1: (x-4)2+(y-5)2=4 which subtend an angle ..9:17The locus of the mid-point of the chords of the circle C1: (x-4)2+(y-5)2=4 which subtend an angle ..
The locus of the mid-point of the chords of the circle C1: (x-4)2+(y-5)2=4 which subtend an angle ..
Просмотров 7657 месяцев назад
The locus of the mid-point of the chords of the circle C1: (x-4)2 (y-5)2=4 which subtend an angle ..
For t belongs to (0,2π), if ABC is an equilateral triangle with vertices A(sin t,-cos t),...5:04For t belongs to (0,2π), if ABC is an equilateral triangle with vertices A(sin t,-cos t),...
For t belongs to (0,2π), if ABC is an equilateral triangle with vertices A(sin t,-cos t),...
Просмотров 5667 месяцев назад
For t belongs to (0,2π), if ABC is an equilateral triangle with vertices A(sin t,-cos t),...
The number of common tangent to the circles x2+y2-18x-15y+131=0 and x2+y2-6x-6y-7=0 is ___________6:17The number of common tangent to the circles x2+y2-18x-15y+131=0 and x2+y2-6x-6y-7=0 is ___________
The number of common tangent to the circles x2+y2-18x-15y+131=0 and x2+y2-6x-6y-7=0 is ___________
Просмотров 1877 месяцев назад
The number of common tangent to the circles x2 y2-18x-15y 131=0 and x2 y2-6x-6y-7=0 is
Let A be the point (1, 2) and B be any point on the curve x2+y2=16. If the centre of the locus of...5:48Let A be the point (1, 2) and B be any point on the curve x2+y2=16. If the centre of the locus of...
Let A be the point (1, 2) and B be any point on the curve x2+y2=16. If the centre of the locus of...
Просмотров 4037 месяцев назад
Let A be the point (1, 2) and B be any point on the curve x2 y2=16. If the centre of the locus of...
The number of five digit numbers, greater than 40000 and divisible by 5, which can be formed...3:40The number of five digit numbers, greater than 40000 and divisible by 5, which can be formed...
The number of five digit numbers, greater than 40000 and divisible by 5, which can be formed...
Просмотров 1,1 тыс.7 месяцев назад
The number of five digit numbers, greater than 40000 and divisible by 5, which can be formed...
If the letters of the word MATHS are permuted and all possible words so formed are arranged...3:14If the letters of the word MATHS are permuted and all possible words so formed are arranged...
If the letters of the word MATHS are permuted and all possible words so formed are arranged...
Просмотров 5477 месяцев назад
If the letters of the word MATHS are permuted and all possible words so formed are arranged...
If the number of words, with or without meaning, which can be made using all the letters of...4:47If the number of words, with or without meaning, which can be made using all the letters of...
If the number of words, with or without meaning, which can be made using all the letters of...
Просмотров 6287 месяцев назад
If the number of words, with or without meaning, which can be made using all the letters of...
The number of ways in which 5 girls and 7 boys can be started at a round table so that no two...2:27The number of ways in which 5 girls and 7 boys can be started at a round table so that no two...
The number of ways in which 5 girls and 7 boys can be started at a round table so that no two...
Просмотров 6087 месяцев назад
The number of ways in which 5 girls and 7 boys can be started at a round table so that no two...
The total number of 3-digit odd numbers, whose sum of digits is a multiple of 7, is ________10:58The total number of 3-digit odd numbers, whose sum of digits is a multiple of 7, is ________
The total number of 3-digit odd numbers, whose sum of digits is a multiple of 7, is ________
Просмотров 8768 месяцев назад
The total number of 3-digit odd numbers, whose sum of digits is a multiple of 7, is
The total number of 3-digit numbers, whose greatest common divisor with 36 is 2, is __________3:38The total number of 3-digit numbers, whose greatest common divisor with 36 is 2, is __________
The total number of 3-digit numbers, whose greatest common divisor with 36 is 2, is __________
Просмотров 8078 месяцев назад
The total number of 3-digit numbers, whose greatest common divisor with 36 is 2, is
The number of square matrices of order 5 with entries from the set {0,1}, such that the sum...3:19The number of square matrices of order 5 with entries from the set {0,1}, such that the sum...
The number of square matrices of order 5 with entries from the set {0,1}, such that the sum...
Просмотров 2238 месяцев назад
The number of square matrices of order 5 with entries from the set {0,1}, such that the sum...
The total number of three-digit numbers, divisible by 3, which can be formed using the digits...6:08The total number of three-digit numbers, divisible by 3, which can be formed using the digits...
The total number of three-digit numbers, divisible by 3, which can be formed using the digits...
Просмотров 1,1 тыс.8 месяцев назад
The total number of three-digit numbers, divisible by 3, which can be formed using the digits...
The number of arrangements of the letter of the word “INDEPENDENCE” in which all the vowels...2:44The number of arrangements of the letter of the word “INDEPENDENCE” in which all the vowels...
The number of arrangements of the letter of the word “INDEPENDENCE” in which all the vowels...
Просмотров 4048 месяцев назад
The number of arrangements of the letter of the word “INDEPENDENCE” in which all the vowels...
All the letters of the word PUBLIC are written in all possible orders and these words are written...4:32All the letters of the word PUBLIC are written in all possible orders and these words are written...
All the letters of the word PUBLIC are written in all possible orders and these words are written...
Просмотров 4848 месяцев назад
All the letters of the word PUBLIC are written in all possible orders and these words are written...
The number of ways of selecting two numbers a and b, a ϵ {2,4,6,…,100} and bϵ{1,3,5,…,99} ...8:43The number of ways of selecting two numbers a and b, a ϵ {2,4,6,…,100} and bϵ{1,3,5,…,99} ...
The number of ways of selecting two numbers a and b, a ϵ {2,4,6,…,100} and bϵ{1,3,5,…,99} ...
Просмотров 1,1 тыс.8 месяцев назад
The number of ways of selecting two numbers a and b, a ϵ {2,4,6,…,100} and bϵ{1,3,5,…,99} ...