Mathematics Tes...

Tangents drawn from the point P (1, 8) to the circle x^2 + y^2 − 6x − 4y − 11 = 0 touch the circle at the points A and B. The equation of the circumcircle of the triangle PAB is

The normal at a point P on the ellipse $x^2+4y^2=16$  meets the x-axis at Q. If M is the mid point of the line segment PQ, then the locus of M intersects the latus rectums of the given ellipse at the points:

If $(si{n}^{4}x/2)+(co{s}^{4}x/3)=1/5$ , then

In a certain experiment, the probability of success is twice the probability of failure. Find the probability of at least four successes in six trials.

If the distance of the point P (1, − 2, 1) from the plane x + 2y − 2z = α, where α > 0, is 5, then the foot of the perpendicular from P to the plane is

The centres of two circles C1 and C2 each of unit radius are at a distance of 6 units from each other. Let P be the mid point of the line segment joining the centres of C1 and C2 and C be a circle touching circles C1 and C2 externally. If a common tangent to C1 and C passing through P is also a common tangent to C2 and C, then the radius of the circle C is