Mathematics questions
18011 published questions with worked solutions.
- Let f (x) = 2x + ^ -1 x and g(x) = _e ( 1+x^2 +x ), x [0, 3]. Then
- In a binomial distribution B(n, p), the sum and the product of the mean and the variance are 5 and 6 respectively, then 6(n + p –...
- The shortest distance between the lines x-5 1 = y-2 2 = z-4 -3 and x+3 1 = y+5 4 = z-1 -5 is
- _ x [ 1 1+n + 1 2+n + 1 3+n + .+ 1 2n ] is equal to
- Let R be a relation on R, given by R = (a,b) : 3a-3b+ 7 is an irrational number Then R is
- The negation of the expression q (( ) ) is equivalent toNot in JEE syllabus
- Let the image of the point P(2, –1,3) in the plane x + 2y – z = 0 be Q. Then the distance of the plane 3x + 2y + z + 29 = 0 from...
- Let a_1 = 8, a_2, a_3, …a_n be an A.P. If the sum of its first four terms is 50 and the sum of its last four terms is 170, then...
- A(2, 6, 2), B(–4, 0, ), C(2, 3, –1) and D(4, 5, 0), | | 5 are the vertices of a quadrilateral ABCD. If its area is 18 square...
- Let A be the area bounded by the curve y = x|x – 3|, the x-axis and the ordinates x = –1 and x = 2. Then 12A is equal to ____.
- The number of words, with or without meaning, that can be formed using all the letters of word ASSASSINATION so that vowels occur...
- Let v =a i +2 j -3 k , w =2a i + j - k and u be a vector such that | u |= >0. If the minimum value of the scalar triple product |...
- Let the vectors a , b , c represent three coterminous edges of a parallelopiped of volume V. Then the volume of the...
- The area bounded by the curves y = |x – 1| + |x – 2| and y = 3 is equal to
- If the coefficients of x^7 in (ax^2+ 1 2bx )^ 11 and x^ -7 in (ax- 1 3bx^2 )^ 11 are equal, then
- Let the sets A and B denote the domain and range respectively of the function f(x) = 1 [x]-x , where [x] denotes the smallest...
- Let P be a square matrix such that P^2 = I – P. For , , , N, if P^ +P^ = I-29P and P^ -P^ = I-13P, then + + - is equal to
- Among the statements: (S1) : (p q) (( p) q) is tautology (S2) : (q p) (( p) q) is a contradictionNot in JEE syllabus
- All the letters of the word PUBLIC are written in all possible orders and these words are written as in a dictionary with serial...
- Among the statements : (S1) : 2023^ 2022 -1999^ 2022 is divisible by 8. (S2) : 13(13)^n-11n-13 is divisible by 144 for infinitely...