Mathematics questions
18011 published questions with worked solutions.
- ABCDE is a regular n-sided polygon. If 1 |AB| = 1 |AC| + 1 |AD| , then the value of n is ____.Not in JEE syllabus
- If p, q, t are the lengths of the tangents to the incircle drawn parallel to the sides BC, CA, AB respectively of ABC (parts...Not in JEE syllabus
- The value of 4 ^ -1 15- ^ -1 1 70 + ^ -1 1 99 (in degrees) is ____.
- ABCD is a cyclic quadrilateral with |AB|=2, |BC|=5 and ABC= 3 . If |CD|=3, then |AD| is ____.Not in JEE syllabus
- For a regular polygon, let r and R be the radii of the inscribed and the circumscribed circles. A false statement among the...Not in JEE syllabus
- The possible values of (0, ) such that + 4 + 7 =0 areNot in JEE Main syllabus
- _ x 0 ( ^2 x) x^2 is equal to
- Let the population of rabbits surviving at a time t be governed by the differential equation dp(t) dt = 1 2 p(t) - 200. If p(0) =...
- The statement (p q) isNot in JEE syllabus
- Let and be the roots of equation px^2 + qx + r = 0, p 0. If p, q, r are in A.P. and 1 + 1 = 4, then the value of | - | is
- Let PS be the median of the triangle with vertices P(2, 2), Q(6, -1) and R(7, 3). The equation of the line passing through (1,...
- The area of the region described by A = (x, y) : x^2 + y^2 1 and y^2 1 - x is:
- If A is an 3 3 non-singular matrix such that AA' = A'A and B = A^ -1 A', then BB' equals:
- The image of the line x - 1 3 = y - 3 1 = z - 4 -5 in the plane 2x - y + z + 3 = 0 is the line:
- If x = -1 and x = 2 are extreme points of f(x) = |x| + x^2 + x then:
- If a R and the equation -3(x - [x])^2 + 2(x - [x]) + a^2 = 0 (where [x] denotes the greatest integer x) has no integral solution,...
- Let C be the circle with centre at (1, 1) and radius = 1. If T is the circle centred at (0, y), passing through origin and...
- If the coefficients of x^3 and x^4 in the expansion of (1 + ax + bx^2)(1 - 2x)^ 18 in powers of x are both zero, then (a, b) is...
- If z is a complex number such that |z| 2, then the minimum value of |z + 1 2 |:
- The integral (1 + x - 1 x )e^ x + 1 x ,dx is equal to