Mathematics questions
18011 published questions with worked solutions.
- Let A = bmatrix x&y&z &z&x &x&y bmatrix , where x, y and z are real numbers such that x + y + z > 0 and xyz = 2. If A^2=I_3, then...
- The total number of numbers, lying between 100 and 1000 that can be formed with the digits 1, 2, 3, 4, 5, if the repetition of...
- Let a = i +2 j - k , b = i - j and c = i - j - k be three given vectors. If r is a vector such that r a = c a and r . b =0, then...
- If the system of equations kx + y + 2z = 1, 3x – y – 2z = 2, –2x – 2y – 4z = 3 has infinitely many solutions, then k is equal...
- The locus of the point of intersection of the lines ( 3)kx+ky–4 3=0 and 3x–y–4( 3)k=0 is a conic, whose eccentricity is _______.
- The sum of all those terms which are rational numbers in the expansion of (2^ 1/3 +3^ 1/4 )^ 12 is:
- The first of the two samples in a group has 100 items with mean 15 and standard deviation 3. The whole group has 250 items with...
- If f(x)= cases _0^x(5+|1-t|)dt, & x>2 5x+1, & x 2 cases , then
- If the greatest value of the term independent of 'x' in the expansion of (x + a x )^ 10 is 10! (5!)^2 , then the value of 'a' is...
- Consider the statement "The match will be played only if the weather is good and ground is not wet". Select the correct negation...Not in JEE syllabus
- The value of 24 is :
- The lowest integer which is greater than (1+ 1 10^ 100 )^ 10^ 100 is ——
- The value of the integral _ -1 ^1 (x+ x^2+1 )dx is :
- Let a, b and c be distinct positive numbers. If the vectors a i +a j +c k , i + k and c i +c j +b k are co-planar, then c is...
- If [x] denote the greatest integer less than or equal to x,then _ n=8 ^ 100 [ (-1)^n.n 2 ] is equal to :
- The number of distinct real roots of vmatrix x& x& x x& x& x x& x& x vmatrix =0 in the interval - 4 x 4 is :Not in JEE Main syllabus
- If | a |=2, | b |=5 and | a b |=8, then | a . b | is equal to
- The number of real solutions of the equation, x^2-|x|-12=0 is:
- Consider function f:A B and g:B C (A, B, C R) such that (gof)^ -1 exists, then:
- Let x be a random variable such that the probability function of a distribution is given by P(X) = 0) 1 2 , P(X=j) = 1 3^j (j =...