Mathematics questions
18011 published questions with worked solutions.
- Let f:R R be defined as f(x) = 2x – 1 and g:R- 1 R be defined as g(x)= x- 1 2 x-1 . Then the composition function f(g(x)) is :
- An ordinary dice is rolled for a certain number of times. If the probability of getting an odd number 2 times is equal to the...
- A scientific committee is to be formed from 6 Indians and 8 foreigners, which includes at least 2 Indians and double the number...
- The area (in sq. units) of the part of the circle x^2+y^2=36, which is outside the parabola y^2=9x, is :
- Let p and q be two positive numbers such that p + q = 2 and p^4+q^4=272. Then p and q are roots of the equation :
- Two vertical poles are 150 m apart and the height of one is three times that of the other. If from the middle point of the line...
- _ x 0^+ _0^ x^2 ( t)dt x^3 is equal to :
- The locus of the mid-point of the line segment joining the focus of the parabola y^2=4ax to a moving point of the parabola, is...
- If the least and the largest real values of , for which the equation z + |z-1|+2i = 0 (z C and i= -1 ) has a solution, are p and...
- If _ -a ^0(|x|+|x-2|)dx=22, (a > 2) and [x] denotes the greatest integer x, then _a^ -a (x+[x])dx is equal to ———
- Let M be any 3 × 3 matrix with entries from the set 0, 1, 2 . The maximum number of such matrices, for which the sum of diagonal...
- If one of the diameters of the circle x^2+y^2-2x-6y+6=0 is a chord of another circle 'C', whose center is at (2, 1), then its...
- The minimum value of for which the equation 4 x = 1 1- x = has at least one solution in (0, 2 ) is ———Not in JEE Main syllabus
- _ n _ r=1 ^n ^ -1 1 (1+r+r^2) is equal to——
- Let three vectors a , b and c be such that c is coplanar with a and b , a c =7 and b is perpendicular to c , where a =- i + j + k...
- Let B_i(i=1,2,3) be three independent events in a sample space. The probability that only B_1 occur is , only B_2 occurs is and...
- Let P= bmatrix 3&-1&-2 2&0& 3&-5&0 bmatrix , where R. Suppose Q = [q_ ij ] is a matrix satisfying PQ = kI_3 for some non-zero k...
- A dictionary is printed consisting of 7 letters words only that can be made with a letters of the word CRICKET. If the words are...
- If ^ 2n+1 P_ n-1 : ^ 2n-1 P_n=3:5, then the value of n is equal to
- The number of permutations of the letters of the word 'CONSEQUENCE' in which all the three E's are together, is