Mathematics Past Questions and Answers

The locus of a point which moves in a plane such that it is equidistant from two fixed points X and Y is

Given that \(P\propto \frac{1}{\sqrt{r}}\) and p = 3 when r = 16, find the value of r when p =-5

Which of the following is/are true? In a plane, the locus of points I. Equidistant from a straight line is a circle radius d where d is the distance between the point and the straight line.
II Equidistant from two given points P and Q is a circle of radius |PQ|. III Equidistant from two points is the perpendicular bisector of the line joining the two points.

The sides of two cubes are in the ratio 2:5. What is the ratio of their volumes?

Given that p = 2, q = -5 and r = - 4, evaluate 3p² - q² - r³