Find the locus of a point which moves such that its distance from the line y = 4 is a constant

A cylindrical tank has a capacity of 3080m². What is the depth of the tank, if the diameter of its base is 14m?

The bearing of P and Q from a common point N are 020^o and 300^o respectively. If P and Q are also equidistance from N, find the bearing of P from Q

P(–6,1) and Q(6,6) are two ends of the diameter of a circle the radius.

Find the number of sides a regular polygon whose interior angle is twice the exterior angle

Find the value of p if the line joining (p, 4) and (6, –2) is perpendicular to the line joining (2, p) and (–1, – 3)

A straight line makes an angle of 30^o with the positive x – axis and cut the y – axis at y =5. Find the equation of the straight line

Find the value of θ in the diagram above

A point P moves such that it is equidistance from Q and R. Find QR when PR =8cm and $\angle PRQ={{30}^{o}}$

A sector of circle of radius 7.2cm which subtends an angle of 300^oat the centre is used to form a cone. What is the radius of the base of the cone?