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The sum of all the solutions of the equation ( 8 )^2x − 16 ⋅ ( 8 )^x + 48 = 0 is
The sum of all the solutions of the equation ( 8 )^2x − 16 ⋅ ( 8 )^x + 48 = 0 is
JEE mains 2024 PYQ solution of " Quadratic Equation " chapter
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Let 𝛼 , 𝛽 be the roots of the equation x^2 + 2√2 x − 1 =0 . The quadratic equation, whose roots are
Просмотров 1711 часов назад
Let 𝛼 , 𝛽 be the roots of the equation x^2 2√2 x − 1 = 0 . The quadratic equation, whose roots are 𝛼^4 𝛽^4 and 1/10 ( 𝛼^6 𝛽^6 ) , is JEE mains 2024 PYQ solution of " Quadratic Equation " chapter This channel is free to help JEE aspirants prepare for IIT JEE. This channel will guide you in making a strategy to decode the JEE questions paper, revise every detail of MATH and make a study plan that...
let 𝛼 , 𝛽 ; 𝛼 greater than 𝛽 be the roots of equation x^2-√2x -√3 = 0 .Let Pn = α^n − β^n , n ∈ N..
Просмотров 1411 часов назад
let 𝛼 , 𝛽 ; 𝛼 greater than 𝛽 be the roots of equation x^2-√2x -√3 = 0 .Let Pn = α^n − β^n , n ∈ N . Then ( 11 √ 3 − 10 √ 2 ) P_10 ( 11 √ 2 10 )P_11 − 11 P_ 12 is JEE mains 2024 PYQ solution of " Quadratic Equation " chapter This channel is free to help JEE aspirants prepare for IIT JEE. This channel will guide you in making a strategy to decode the JEE questions paper, revise every detail of MA...
Let α, β be the distinct roots of the quadratic equation x^2 - (t^2 - 5t + 6)x + 1= 0,a_n = α^n + β^
Просмотров 2511 часов назад
Let α, β be the distinct roots of the quadratic equation x^2 - (t^2 - 5t 6)x 1 = 0, a_n = α^n β^n , then the minimum value of (a_2023 a_2025 )/ a_2024 is JEE mains 2024 PYQ solution of " Quadratic Equation " chapter This channel is free to help JEE aspirants prepare for IIT JEE. This channel will guide you in making a strategy to decode the JEE questions paper, revise every detail of MATH and m...
If the domain of the function f(x) = loge (4x^2 + 11x + 6) + sin^-1 (4x+3) + cos^-1 (10x+6/3) is..
Просмотров 747 часов назад
If the domain of the function f(x) = loge (4x^2 11x 6) sin^-1 (4x 3) cos^-1 (10x 6/3) is (α,β] Then 36 |a b| is equal to JEE mains 2024 PYQ solution of " ITF " chapter This channel is free to help JEE aspirants prepare for IIT JEE. This channel will guide you in making a strategy to decode the JEE questions paper, revise every detail of MATH and make a study plan that will help you prepare conf...
Given the inverse trigonometric function assumes principal values only. Let x, y be any two real ...
Просмотров 869 часов назад
Given the inverse trigonometric function assumes principal values only. Let x,y be any two real numbers in [−1,1] such that cos^−1 x−sin^−1 y = α, −π/ 2 ≤ α ≤ π. Then, the minimum value of x^2 y^2 2xysinα is JEE mains 2024 PYQ solution of " ITF " chapter This channel is free to help JEE aspirants prepare for IIT JEE. This channel will guide you in making a strategy to decode the JEE questions p...
Let 𝑥=𝑚/𝑛 (m, n are co-prime natural numbers) be a solution of the equation cos(2sin^−1 x) =1/ 9
Просмотров 729 часов назад
Let 𝑥 = 𝑚 / 𝑛 (m, n are co-prime natural numbers) be a solution of the equation cos ( 2 sin^−1 x ) = 1/ 9 and let 𝛼 , 𝛽 ( 𝛼 greater than 𝛽 ) be the roots of the equation m x^2 − n x − m n = 0 . Then the point ( 𝛼 , 𝛽 ) lies on the line ..... JEE mains 2024 PYQ solution of " ITF " chapter This channel is free to help JEE aspirants prepare for IIT JEE. This channel will guide you in making a stra...
Let the inverse trigonometric functions take principal values. 2 sin^ −1 x + 3 cos ^−1 x = (2π) / 5
Просмотров 16719 часов назад
Let the inverse trigonometric functions take principal values. The number of real solutions of the equation 2 sin^ −1 x 3 cos ^−1 x = (2π) / 5 , is JEE mains 2024 PYQ solution of " ITF " chapter This channel is free to help JEE aspirants prepare for IIT JEE. This channel will guide you in making a strategy to decode the JEE questions paper, revise every detail of MATH and make a study plan that...
For n ∈ N , if cot^ −1 (3) + cot^ −1 4 + cot^ −1 (5) + cot^ -1 (n) = π /4 , n ∈ N , then n is ...
Просмотров 17219 часов назад
For n ∈ N , if cot^ −1 (3) cot^ −1 4 cot^ −1 (5) cot^ -1 (n) = π /4 , n ∈ N , then n is equal to .... JEE mains 2024 PYQ solution of " ITF " chapter This channel is free to help JEE aspirants prepare for IIT JEE. This channel will guide you in making a strategy to decode the JEE questions paper, revise every detail of MATH and make a study plan that will help you prepare confidently. #JEEAdvanc...
Let θ , ϕ ∈ [ 0 , 2π ] be such that 2cos (θ) ( 1 − sin ϕ ) = sin^2 (θ) ( ( tan(θ/2) + cot(θ/2))...
Просмотров 156День назад
Let θ , ϕ ∈ [ 0 , 2π ] be such that 2cos (θ) ( 1 − sin ϕ ) = sin^2 (θ) ( ( tan(θ/2) cot(θ/2) ) cos ϕ − 1 , tan ( 2 π − θ ) , greater than 0 and − 1 greater than sin θ less than −√ 3/ 2 . Then ϕ cannot satisfy JEE Advance 2012 PYQ solution of "TRIGONOMETRY " chapter This channel is free to help JEE aspirants prepare for IIT JEE. This channel will guide you in making a strategy to decode the JEE ...
The number of distinct solutions of the equation 5/4 cos^2 2x + cos^4 x sin^4 x+cos^6 x + sin^6 x =2
Просмотров 225День назад
The number of distinct solutions of the equation 5/4 cos^2 2x cos^4 x sin^4 x cos^6 x sin^6 x = 2 in the interval [0, 2π] is .. JEE Advance 2015 PYQ solution of " Function " chapter This channel is free to help JEE aspirants prepare for IIT JEE. This channel will guide you in making a strategy to decode the JEE questions paper, revise every detail of MATH and make a study plan that will help yo...
If tan A = 1/√ (x( x^2 + x +1)) , tan B = √ x / √ (x^2 + x +1) and tan C = ( x^ (−3) + x^(−2)+ .....
Просмотров 264День назад
If tan A = 1 √ (x ( x^2 x 1)) , tan B = √ x / √ x 2 x 1 and tan C = ( x^ (−3) x^(−2) x^(−1) )^(1/2) , 0 greater than A , B , C less than π /2 , then A B is equal to JEE MAINS 2024 PYQ solution of "TRIGONOMETRY " chapter This channel is free to help JEE aspirants prepare for IIT JEE. This channel will guide you in making a strategy to decode the JEE questions paper, revise every detail of MATH a...
If the value of ( 3 cos 36º + 5 sin 18º ) / ( 5 cos 36º− 3 sin 18º ) is (a√ 5 − b) /c , where a...
Просмотров 172День назад
If the value of ( 3 cos 36º 5 sin 18º ) / ( 5 cos 36º− 3 sin 18º ) is (a√ 5 − b) /c , where a , b , c are natural numbers and gcd ( a , c ) = 1 , then a b c is equal to ..... JEE MAINS 2023 PYQ solution of "TRIGONOMETRY " chapter This channel is free to help JEE aspirants prepare for IIT JEE. This channel will guide you in making a strategy to decode the JEE questions paper, revise every detail...
Let S = { sin^2 (2θ) : ( sin^4 (θ) + cos^4 (θ)) x^2 + (sin 2θ ) x + (sin^6 (θ) + cos^6 (θ)) = 0.....
Просмотров 203День назад
Let S = { sin^2 (2θ) : ( sin^4 (θ) cos^4 (θ)) x^2 ( sin 2θ ) x ( sin^6 (θ) cos^6 (θ) ) = 0 has real roots } . If 𝛼 and 𝛽 be the smallest and largest elements of the set S, respectively, then 3 ((α−2)^2 (β−1)^2) equals..... JEE MAINS 2024 PYQ solution of "TRIGONOMETRY " chapter This channel is free to help JEE aspirants prepare for IIT JEE. This channel will guide you in making a strategy to dec...
Let α and β be non-zero real numbers such that 2(cosβ - cosα) + cosα cosβ = 1. Then which of the....
Просмотров 206День назад
Let α and β be non-zero real numbers such that 2(cosβ - cosα) cosα cosβ = 1. Then which of the following is/are true? JEE ADVANCE 2017 PYQ solution of "TRIGONOMETRY " chapter This channel is free to help JEE aspirants prepare for IIT JEE. This channel will guide you in making a strategy to decode the JEE questions paper, revise every detail of MATH and make a study plan that will help you prepa...
If e^(cos^2 x + cos^4 x+ cos^6 x …)log_e 2 satisfies the equation t^2 − 9t + 8 = 0 then the value..
Просмотров 39614 дней назад
If e^(cos^2 x cos^4 x cos^6 x …)log_e 2 satisfies the equation t^2 − 9t 8 = 0 then the value..
The sum of the solutions x ∈R of the equation (3cos(2x)+cos^3 (2x) )/(cos^6 x−sin^6 x) =x^3−x^2+6 is
Просмотров 13214 дней назад
The sum of the solutions x ∈R of the equation (3cos(2x) cos^3 (2x) )/(cos^6 x−sin^6 x) =x^3−x^2 6 is
If 2 sin^3 x + sin 2x cos x + 4 sin x − 4 = 0 has exactly 3 solutions in the interval [ 0 , nπ/2 ]..
Просмотров 23414 дней назад
If 2 sin^3 x sin 2x cos x 4 sin x − 4 = 0 has exactly 3 solutions in the interval [ 0 , nπ/2 ]..
JEE MAINS : The value of 36 (4cos^2 9º - 1)(4 cos^2 27º - 1) (4 cos^2 81º - 1) (4 cos^2 243º - 1) is
Просмотров 36314 дней назад
JEE MAINS : The value of 36 (4cos^2 9º - 1)(4 cos^2 27º - 1) (4 cos^2 81º - 1) (4 cos^2 243º - 1) is
The set of all values of λ for which the equation cos^2 (2x) -2 sin^4 (x) - 2 cos^2 (x) = λ has a ..
Просмотров 22814 дней назад
The set of all values of λ for which the equation cos^2 (2x) -2 sin^4 (x) - 2 cos^2 (x) = λ has a ..
Let the set of all a ∈ R such that the equation cos^2 x + a sin x = 2a−7 has a solution be [p ,q]..
Просмотров 25914 дней назад
Let the set of all a ∈ R such that the equation cos^2 x a sin x = 2a−7 has a solution be [p ,q]..
If sin^2(10°)sin(20°)sin(40°)sin(50°)sin(70°) = α -( 1/16) sin(10°), then 16 + α^(-1) is equal to..
Просмотров 25414 дней назад
If sin^2(10°)sin(20°)sin(40°)sin(50°)sin(70°) = α -( 1/16) sin(10°), then 16 α^(-1) is equal to..
JEE MAINS 2023 : Let f(θ) = 3 ( sin^4 ( 3π/ 2 − θ) + sin^4 ( 3π +θ)) − 2 ( 1 − sin^2 (2θ)) and ...
Просмотров 15414 дней назад
JEE MAINS 2023 : Let f(θ) = 3 ( sin^4 ( 3π/ 2 − θ) sin^4 ( 3π θ)) − 2 ( 1 − sin^2 (2θ)) and ...
JEE MAINS 2023 : Let f(θ) = 3 ( sin^4 ( 3π/ 2 − θ) + sin^4 ( 3π +θ)) − 2 ( 1 − sin^2 (2θ)) and ...
Просмотров 24914 дней назад
JEE MAINS 2023 : Let f(θ) = 3 ( sin^4 ( 3π/ 2 − θ) sin^4 ( 3π θ)) − 2 ( 1 − sin^2 (2θ)) and ...
JEE ADVANCE : Let α and β be real numbers such that -π/4 greater than β less than α less than π/4...
Просмотров 11214 дней назад
JEE ADVANCE : Let α and β be real numbers such that -π/4 greater than β less than α less than π/4...
JEE ADVANCE : Let α and β be real numbers such that -π/4 greater than β less than α less than π/4..
Просмотров 25514 дней назад
JEE ADVANCE : Let α and β be real numbers such that -π/4 greater than β less than α less than π/4..
JEE ADVANCE : For θ ∈ ( 0,π/2) , the solution(s) Σ_(m=1)^(6) cosec(θ+(m-1)π/4)cosec(θ+mπ/4) = 4√2
Просмотров 30421 день назад
JEE ADVANCE : For θ ∈ ( 0,π/2) , the solution(s) Σ_(m=1)^(6) cosec(θ (m-1)π/4)cosec(θ mπ/4) = 4√2
JEE ADVANCE : The value of Σ_(k=1)^(13) (1 / (sin(π/4+((k-1)π)/6)sin(π/4+(kπ)/6))) is equal to....
Просмотров 23221 день назад
JEE ADVANCE : The value of Σ_(k=1)^(13) (1 / (sin(π/4 ((k-1)π)/6)sin(π/4 (kπ)/6))) is equal to....
JEE ADVANCE : LOGARTHEM : If 3^x = 4^(x - 1), then x = ......
Просмотров 40021 день назад
JEE ADVANCE : LOGARTHEM : If 3^x = 4^(x - 1), then x = ......
Let ( x_0 , y_0 ) be the solution of the following equations: ( 2x)^(ln 2) = (3y)^ (ln3) and .....
Просмотров 7021 день назад
Let ( x_0 , y_0 ) be the solution of the following equations: ( 2x)^(ln 2) = (3y)^ (ln3) and .....

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