JEE Advanced questions
829 published questions with worked solutions.
- The correct statement(s) related to oxoacids of phosphorous is(are)
- Ozonolysis of ClO _2 produces an oxide of chlorine. The average oxidation state of chlorine in this oxide is _____.
- Let S_1 = (i, j, k) : i, j, k 1, 2, , 10 , S_2 = (i, j) : 1 i < j + 2 10, i, j 1, 2, , 10 , S_3 = (i, j, k, l) : 1 i < j < k < l,...
- Consider a triangle PQR having sides of lengths p, q and r opposite to the angles P, Q and R, respectively. Then which of the...
- Let f: [- 2 , 2 ] R be a continuous function such that f(0) = 1 and _0^ 3 f(t) ,dt = 0 Then which of the following statements is...
- For any real numbers and , let y_ , (x), x R , be the solution of the differential equation dy dx + y = xe^ x , y(1) = 1. Let S =...
- Let O be the origin and OA = 2 i + 2 j + k , OB = i - 2 j + 2 k and OC = 1 2 ( OB - OA ) for some > 0. If | OB OC | = 9 2 , then...
- Let E denote the parabola y^2 = 8x. Let P = (-2, 4), and let Q and Q' be two distinct points on E such that the lines PQ and PQ'...
- Considering only the principal values of the inverse trigonometric functions, the value of 3 2 ^ -1 2 2+ ^2 + 1 4 ^ -1 2 2 , 2+...
- Let be a positive real number. Let f: R R and g: ( , ) R be the functions defined by f(x) = ( x 12 ) and g(x) = 2 _e ( x - ) _e...
- In a study about a pandemic, data of 900 persons was collected. It was found that 190 persons had symptom of fever, 220 persons...
- Let z be a complex number with non-zero imaginary part. If 2 + 3z + 4z^2 2 - 3z + 4z^2 is a real number, then the value of |z|^2...
- Let z denote the complex conjugate of a complex number z and let i = -1 . In the set of complex numbers, the number of distinct...
- Let l_1, l_2, , l_ 100 be consecutive terms of an arithmetic progression with common difference d_1, and let w_1, w_2, , w_ 100...
- The number of 4-digit integers in the closed interval [2022, 4482] formed by using the digits 0, 2, 3, 4, 6, 7 is _____.
- Consider the equation _1^e ( _e x)^ 1/2 x (a - ( _e x)^ 3/2 )^2 ,dx = 1, a (- , 0) (1, ). Which of the following statements...
- Let a_1, a_2, a_3, be an arithmetic progression with a_1 = 7 and common difference 8. Let T_1, T_2, T_3, be such that T_1 = 3 and...
- Let P_1 and P_2 be two planes given by P_1: 10x + 15y + 12z - 60 = 0, P_2: -2x + 5y + 4z - 20 = 0. Which of the following...
- Let S be the reflection of a point Q with respect to the plane given by r = -(t + p) i + t j + (1 + p) k where t, p are real...
- Consider the parabola y^2 = 4x. Let S be the focus of the parabola. A pair of tangents drawn to the parabola from the point P =...