Mathematics questions
18011 published questions with worked solutions.
- Equation of a plane at a distance 2 21 for the origin, which contains the line of intersection of the planes x – y – z – 1 = 0...
- If U_n= (1+ 1 n^2 ) (1+ 2^2 n^2 )^2 (1+ n^2 n^2 )^n, then _ n (U_n)^ -4/n^2 is equal to :
- The statement (P (p q) (q r)) r is :Not in JEE syllabus
- Let us consider a curve, y = f(x) passing through the point (–2, 2) and the slope of the tangent to the curve at any point (x,...
- A tangent and a normal are drawn at the point P(2, –4) on the parabola y^2=8x, which meet the directrix of the parabola at the...
- Let A B = (A-C) (C-B) , where A, B, C are angles of a triangle ABC. If the lengths of the sides opposite these angles are a, b, c...Not in JEE syllabus
- If , are the distinct roots of x^2+bx+c=0, then _ x e^ 2(x^2+bx+c) -1-2(x^2+bx+c) (x- )^2 is equal to :
- If x^2+9y-4x+3=0, x, y R, then x and y respectively lie in the intervals:
- _6^ 16 _ex^2 _ex^2+ _e(x^2-44x+484) dx is equal to :
- A wire of length 20 m is to be cut into two pieces. One of the pieces is to be made into a square and the other into a regular...
- Let a = i +5 j + k , b = i +3 j + k and c =- i +2 j -3 k be three vectors such that, | b c |=5 3 and a is perpendicular to b ....
- The number of distinct real roots of the equation 3x^4+4x^3-12x^2+4=0 is ____
- Let the equation x^2+y^2+px+(1-p)y+5=0 represent circles of varying radius r (0, 5). Then the number of elements in the set S = q...
- If A = [x R:|x – 2|>1 , B = x R: x^2-3 >1 , C = x R:|x-4| 2 and Z is the set of all integers, then the number of subsets of the...
- If the system of linear equations 2x + y – z = 3, x – y – z = , 3x + 3y + = 3 has infinitely many solution, then + - is equal to...
- Let n be an odd natural number such that the variance of 1, 2, 3, 4, ..., n is 14. Then n is equal to _________.
- If the minimum area of the triangle formed by a tangent to the ellipse x^2 b^2 + y^2 4a^2 =1 and the co–ordinate axis is kab,...
- A number is called a palindrome if it reads the same backward as well as forward. For example 285582 is a six digit palindrome....
- The angle between the straight lines, whose direction cosines are given by the equations 2 +2m-n=0 and mn+n + m=0, is
- Let A = pmatrix [x+1]&[x+2]&[x+2] [x] &[x+3]&[x+3] [x] &[x+2]&[x+4] pmatrix , where [t] denotes the greatest integer less than or...