JEE Advanced questions
3844 published questions with worked solutions.
- The sum of the first n terms of the series 3 + 52 + 94 + 17 8 + is
- The number of solutions of ||x - 4| - 1 | = 2 is
- If 1 ( , ) where , are roots of x^2 - a(x + 1) + 3 = 0 then
- The number of ways of selecting two numbers from the first 15 natural numbers such that their sum is a multiple of 5, is
- If |z - 2 z | = 1 then the greatest value of |z| is
- If |z_1 - z_0| = |z_2 - z_0| = a and amp z_2 - z_0 z_0 - z_1 = 2 then z_0 is equal to
- If , be unequal real roots of the equation ax^2 + bx + c = 0 where a, b, c are real and is the solution of 2ax + b = 0 then
- If f be a function defined as f(x) = x^3 - 3x, -1 x 3 then the range of f is
- Let a , b , c be unit vectors and , , are angles between the vectors a , b ; b , c and c , a respectively. If a + b + c is also a...
- If ^ -1 x + ^ -1 y + ^ -1 z = 3 then the value of xy + yz + zx is
- Let three positive numbers a, b, c be in GP such that a, b+8, c are in AP, while a, b+8, c+64 are in GP. Then the AM of a, b, c is
- The number of ways in which the five digits 1, 2, 3, 4, 5 can be arranged to make a number greater than 10000 such that the odd...
- The number of real solutions of the equation ( 3 5 )^x + 7 5 = 2^x is
- Let f(x) = |x + 1|. The number of values of x [-2, 2] for which f(x-3), f(x-1), f(x+1) are in AP is
- The minimum positive integral value of x such that (1073)^ 71 - x is divisible by 10, is
- The minimum value of |z - 1| + |z| for complex values of z is
- If in ABC, a^2 + b^2 > c^2 then the isNot in JEE syllabus
- In the ABC, BC is produced to D and ACD = 3 4 and A, B are roots of the equation x^2 - x + = 0. Then
- If , are the roots of x^2 + px + q = 0 and , are the roots of x^2 + px - r = 0 then - - - - is equal to
- The value of _ r=1 ^ n r( ^ n C_r + ^ r P_r) is