Mathematics questions
18011 published questions with worked solutions.
- The domain of the function f(x)= ^ -1 ( 3x^2+x-1 (x-1)^2 )+ ^ -1 ( x-1 x+1 ) is :
- Let S = 1, 2, 3, 4, 5, 6 . Then the probability that a randomly chosen onto function g from S to S satisfies g(3) = 2g(1) is :
- Let f:N N be a function such that f(m + n) = f(m) + f(n) for every m, n N. If f(6) = 18, then f(2) (3) is equal to :
- The distance of the point (–1, 2, –2) from the line of intersection of the planes 2x + 3y + 2z = 0 and x – 2y + z = 0 is :
- If = _ x /4 ^3x- x (x+ 4 ) and = _ x 0 ( x)^ x are the roots of the equation ax^2+bx-4=0, then the ordered pair (a, b) is :
- The locus of mid-points of the line segments joining (–3, –5) and the points on the ellipse x^2 4 + y^2 9 =1 is :
- If dy dx = 2^xy+2^y.2^x 2^x+2^ x+y _e2 , y(0) = 0, then for y = 1, the value of x lies in the interval :
- An angle of intersection of the curves, x^2 a^2 + y^2 b^2 =1 and x^2+y^2=ab, a > b, is :
- The sum of the roots of the equation x + 1 – 2 _2(3+2^x)+2 _4(10-2^ -x )=0, is :
- If z is a complex number such that z-i z-1 is purely imaginary, then the minimum value of |z – (3 + 3i)| is :
- Let a_1, a_2, a_3, … be an A.P. If a_1+a_2+ +a_ 10 a_1+a_2+ +a_p = 100 p^2 , p 10, then a_ 11 a_ 10 is equal to :
- Let A be the set of all points ( , ) such that the area of triangle formed by the points (5, 6), (3, 2) and ( , ) is 12 square...
- The number of solutions of the equation 32^ ^ 2x +32^ ^ 2x =81, 0 x 4 is :Not in JEE Main syllabus
- Let f be any continuous function on [0, 2] and twice differentiable on (0, 2). If f(0) = 0, f(1) = 1 and f(2) = 2, then
- The mean and variance of 7 observations are 8 and 16 respectively. If two observations are 6 and 8, then the variance of the...
- If the coefficient of a^7b^8 in the expansion of (a+2b+4ab)^ 10 is K.2^ 16 , then K is equal to _____ .
- Suppose the line x-2 = y-2 -5 = z+2 2 lies on the plane x + 3y – 2z + = 0. Then ( + ) is equal to_____.
- A tangent line L is drawn at the point (2 –4) on the parabola y^2=8x. If the line L is also tangent to the circle x^2+y^2=a, then...
- If S = 7 5 + 9 5^2 + 13 5^3 + 19 5^4 + , then 160 S is equal to_____.
- The number of elements in the set A= pmatrix a&b 0&d pmatrix :a,b,d -1,0,l and (I-A)^3=I-A^3 , where I is 2 × 2 identity matrix ,...