Mathematics Tes...

The line passing through the extremity A of the major axis and extremity B of the minor axis of the ellipse x^2 + 9y^2 = 9 meets its auxiliary circle at the point M. Then the area of the triangle with vertices at A, M and the origin O is

A fair die is tossed repeatedly until a six is obtained. Let X denote the number of tosses required. The conditional probability that X ≥ 6 given X > 3 equals

Find the the statements/expressions of Ellipse

Interval contained in the domain of definition of non-zero solutions of the differential equation (x – 3)^2 y′ + y = 0

A signal which can be green or red with probability 4/5 and 1/5 respectively, is received by station A and then transmitted to station B. The probability of each station receiving the signal correctly is 3/4. If the signal received at station B is green, then the probability that the original signal was green is

If the sum of first n terms of an A.P. is $c{n}^2$ , then the sum of squares of these n terms is