Mathematics questions
18011 published questions with worked solutions.
- If f(x)= 5x^8+7x^6 (x^2+1+2x^7)^2 dx, (x 0), f(0)=0 And f(1) = 1 K , then the value of K is
- The number of solutions of the equation | x|= x+ 1 x in the interval [0,2 ] isNot in JEE Main syllabus
- For the natural numbers m, n, if (1-y)^m(1+y)^n=1+a_1y+a_2y^2+ +a^ m+n y^ m+n and a_1=a_2=10, then the value of (m+n) is equal to...
- The value of (2 ^ -1 ( 3 5 )+ ^ -1 ( 5 13 ) ) is equal to
- Let r_1 and r_2 be the radii of the largest and smallest circles, respectively, which pass through the point (–4,1) and having...
- Consider the following three statements : (A) If 3+3=7 then 4+3=8. (B) If 5+3=8 then earth is flat. (C) If both (A) and (B) are...Not in JEE syllabus
- The lines x = ay – 1 = z – 2 and x = 3y – 2 = bz – 2, (ab 0) are coplanar, if:
- If [x] denotes the greatest integer less than or equal to x, then the value of the integral _ - /2 ^ /2 [[x]- x]dx is equal to -
- If f : R R is given by f(x) = x + 1, then the value of _ n 1 n [f(0)+f ( 5 n )+f ( 10 n )+ +f ( 5(n-1) n ) ] is
- Let A, B and C be three events such that the probability that exactly one of A and B occurs is (1 – k), the probability that...
- The sum of all the local minimum values of the twice differentiable function f : R R defined by f(x)=x^3-3x^2- 3 2 f''(2)x+f''(1)...
- Let in a right angled triangle, the smallest angle be . If a triangle formed by taking the reciprocal of its sides is also a...
- Let y = y(x) satisfies the equation dy dx -|A|=0 for all x > 0, where A= vmatrix y& x&1 0&-1&1 2&0& 1 x vmatrix . If y( )= +2,...
- Consider the line L given by the equation x-3 2 = y-1 1 = z-2 1 . Let Q be the mirror image of the point (2, 3, –1) with respect...
- If the mean and variance of six observations 7, 10, 11, 15, a, b are 10 and 20 3 , respectively, then the value of |a – b| is...
- Let g(T) = _ - /2 ^ /2 ( 4 t+f(x) )dx, where f(x)= _e(x+ x^2+1 ), x R. Then which one of the following is correct?
- Let P be a variable point on the parabola y = 4x^2+1. Then the locus of the mid-point of the point P and the foot of the...
- The value of k , for which the following system of linear equations 3x – y + 4z = 3, x + 2y – 3z = –2, 6x + 5y + kz = –3, has...
- If sum of the first 21 terms of the series _ x^ 1/2 x+ _ x^ 1/3 x+ _ x^ 1/4 x+ , where x > 0 is 504, then x is equal to
- In a triangle ABC, if | BC |=3, | CA |=5 and | BA |=7, then the projection of the vector BA on BC is equal to-