Mathematics Tes...

From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?

The circles which can be drawn to pass through (1,0) & (3,0) and touching the y-axis, intersect at an angle θ. The value of cos θ is equal to

Let f(x) be a continuous function such that f(a – x) + f(x) = 0 for all x[0,a]. Then, the value of the integral  is equal to

The coefficient of the term independent of x in the expansion of 

Which of the following statements is not correct?

A tangent having slope of  intersects the major and minor axes in points A and B respectively. If C is the center of the ellipse then the area of the triangle ABC is:

The set of all values of the parameter a for which the points of minimum of the function y = 1 + a² x – x³

The eccentricity of the hyperbola whose latus rectum is half of its transverse axis, is: