JEE Advanced questions
3844 published questions with worked solutions.
- The value of ^2( ^ -1 2)+ ^2( cosec ^ -1 3) is
- ( 4 + 12 ^ -1 x )+ ( 4 - 12 ^ -1 x ), x 0, is equal to
- The number of real solutions of the equation 1+ 2x = 2 , ^ -1 ( x), - x , isNot in JEE Main syllabus
- The number of positive integral solutions of the equation ^ -1 x+ ^ -1 y 1+y^2 = ^ -1 3 10 is
- Considering principal values, the number of solutions of ^ -1 2x+ ^ -1 3x= 4 is
- The number of real solutions of (x,y), where |y|= x, y= ^ -1 ( x), -2 x 2 , isNot in JEE Main syllabus
- If ^ -1 x> ^ -1 x thenNot in JEE Main syllabus
- If ^ -1 n > 6 , n N, then the maximum value of n isNot in JEE Main syllabus
- The set of values of k for which x^2-kx+ ^ -1 ( 4)>0 for all real x is
- Let f(x)= ^ -1 x+ ^ -1 x. Then 2 is equal to
- Let ^ -1 ( 5 4 )= , ^ -1 (- 2 3 )= . Then
- Let f(x)=e^ ^ -1 (x+ /3) . Then
- If f(x)= ^ -1 x+ ^ -1 x 2 + 12 3-3x^2 then
- The value of 12 ^ -1 2x 1+x^2 + 12 ^ -1 1-x^2 1+x^2 is
- , and are three angles given by =2 ^ -1 ( 2-1), =3 ^ -1 1 2 + ^ -1 (- 12 ) and = ^ -1 13. Then
- If 0<x<1 then ^ -1 1-x^2 1+x is equal to
- One of the values of x satisfying ( ^ -1 x)= ^ -1 1 5 is
- If ^ -1 x+ ^ -1 y= 2 3 , ^ -1 x- ^ -1 y= 3 then the number of values of (x,y) is
- The solution set of the equation ^ -1 x- ^ -1 x= ^ -1 (1-x) is
- If _4 5 = a and _5 6 = b then _3 2 is equal to