JEE Advanced questions
3844 published questions with worked solutions.
- If a,b,c are in HP then 1 b-a + 1 b-c is equal to
- S_r denotes the sum of the first r terms of an AP. Then S_ 3n :(S_ 2n -S_n) is
- If a^ x =b^ y =c^ z and x,y,z are in GP then _c b is equal to
- The value of _ r=1 ^ n 1 a+rx + a+(r-1)x is
- Let _ n=1 ^ n r^ 4 =f(n). Then _ r=1 ^ n (2r-1)^ 4 is equal to
- If 2 ^ n P_1, ^ n P_2, ^ n P_3 are three consecutive terms of an AP then they are
- In a GP the product of the first four terms is 4 and the second term is the reciprocal of the fourth term. The sum of the GP up...
- If _ k=1 ^ n ( _ m=1 ^ k m^ 2 )=an^ 4 +bn^ 3 +cn^ 2 +dn+e then
- If a,b,c,d are four positive numbers then
- Let f(x)= 1-x^ n+1 1-x and g(x)=1- 2x+ 3 x^2 - +(-1)^n n+1 x^n . Then the constant term in f'(x) g(x) is equal to
- Let the sets A= 2,4,6,8, and B= 3,6,9,12, , and n(A)=200, n(B)=250. Then
- Let a,x,b be in AP; a,y,b be in GP and a,z,b be in HP. If x=y+2 and a=5z then
- Three positive numbers form a GP. If the middle number is increased by 8, the three numbers form an AP. If the last number is...
- If a,b,c are in GP and a,p,q are in AP such that 2a, b+p, c+q are in GP then the common difference of the AP is
- If x,y,z are positive numbers in AP then
- The numbers 1, 4, 16 can be three terms (not necessarily consecutive) of
- If x is a real number such that x(x^2+1), (- 12 )x^2, 6 are three consecutive terms of an AP then the next two consecutive term...
- The number of real solutions of x- 1 x^2-4 =2- 1 x^2-4 is
- The number of values of the pair (a,b) for which a(x+1)^2+b(x^2-3x-2)+x+1=0 is an identity in x is
- The number of values of the triplet (a,b,c) for which a 2x+b ^2x+c=0 is satisfied by all real x is