Mathematics Tes...

If a > 0 and discriminant of ax² + 2bx + c is -ve, then 

There were two women participating in a chess tournament. Every participant played two games with the other participants. The number of games that the men played between themselves proved to exceed by 66 as compared to the number of games that the men played with the women. Find the number of participants.

If p, q, r are positive and are in A.P, the roots of the quadratic equation px² + qx + r = 0 are real for

Let f(x) and g(x) be differentiable functions for 0 ≤ x ≤ 1 such that f(0) = 2, g(0) = 0 and f(1) = 6. Let there exist a real number c in [0, 1] such that f'(c) = 2g'(c). Then, the value of g(1) must be

The lines 2x - 3y = 5 and 3x - 4y = 7 are diameters of a circle having area as 154 sq. units. Then, the equation of the circle is

One ticket is selected at random from 50 tickets numbered 00, 01, 02, ..., 49. Then, the probability that the sum of the digits on the selected ticket is 8, given that the product of these digits is zero, equals

The inverse of the statement 'if the teacher is absent, then the students are happy' is

In solving the following Linear Programming Problem, ''minimise f = 6x + 10y subject to x ≥ 6; y ≥ 2; 2x + y ≥ 10; x ≥ 0; y ≥ 0'', the redundant constraint(s) is/are:

The sides of a triangle are sinα,cosα and  Then, the greatest angle of the triangle is