JEE Advanced questions
3844 published questions with worked solutions.
- If A be a 3 3 matrix and I be the unit matrix of that order such that A=A^2+I then A^ -1 is equal to
- The value of 30 0 30 10 - 30 1 30 11 + 30 2 30 12 - + 30 20 30 30 is, where nr= ^ n C_ r
- If a,b,c are in AP and x,y,z are finite numbers such that x= _ n=0 ^ a^n, y= _ n=0 ^ b^n and z= _ n=0 ^ c^n then x,y,z are in
- In a triangle ABC, a^2+b^2=c^2. If R and r are its circumradius and inradius respectively then R+r is equal toNot in JEE syllabus
- Suppose f(x) is differentiable at x=1 and _ h 0 f(1+h) h =5. Then f'(1) equals
- If f is a real-valued differentiable function satisfying |f(x)-f(y)| (x-y)^2 for all x,y R and f(0)=0 then f(1) equals
- If _ x ^ 1 t^2 f(t) ,dt=1- x then f ! ( 1 3 ) is equal to
- If f(x) is a twice differentiable function for which f(1)=1, f(2)=4 and f(3)=9 then
- Let f be differentiable for all x. If f(1)=-2 and f'(x) 2 for x [1,6] then the value of f(6) is
- The value of _1^e x-1 1+( x)^2 ^2dx is equal to
- Let A and B be two events such that P( A B )= 16, P(A B)= 14 and P( A)= 14 where A = complementary of event A. Then A and B are
- Let a= i- k, b=x i+ j+(1-x) k and c=y i+x j+(1-x-y) k. Then [ a b c] depends on
- If a, b and c are three nonzero noncoplanar vectors and p= b- b a | a|^2 a, q= b+ b a | a|^2 a, r= c- c a | a|^2 a+ b c | c|^2 p,...
- Four flats are available in Krishna Apartment. Four persons visit the flats and each gives his choice to the promoter without...
- The area of the greatest rectangle that can be inscribed in the ellipse x^2 a^2 + y^2 b^2 =1 is
- The value of ( a i)^2+( a j)^2+( a k)^2 is equal to
- The minimum area of the triangle formed by a tangent to the ellipse x^2 a^2 + y^2 b^2 =1 and the coordinate axes, is
- If y is a function of x given by y ,dx+y^2dy=x ,dy where y>0 and y(1)=1 then y(-3) is
- The function y= ||x|-1 | is differentiable for all x R except for the values
- If a_1,a_2,a_3, ,a_n, are in GP then the determinant = vmatrix a_n& a_ n+1 & a_ n+2 a_ n+3 & a_ n+4 & a_ n+5 a_ n+6 & a_ n+7 & a_...