Pawan travels from X to Y at the speed of 10 km/h, from Y to Z at 15 km/h and from Z to W at 20 km/h. If XY = YZ = ZW (in km), then the average speed of Pawan for the whole journey is:
\(13\tfrac{10}{13}\,\text{km/h}\)
\(13\tfrac{11}{13}\,\text{km/h}\)
\(13\tfrac{8}{13}\,\text{km/h}\)
\(13\tfrac{9}{13}\,\text{km/h}\)
If \(x + \frac{1}{x} = \sqrt{13}\), then one of the values of \(x^3 - \frac{1}{x^3}\) is:
PM and PN are two tangents of a circle from an external point P. M and N are points on the circle. If PM = y2 - 9 and PN = 55, then what is the value of y?
The algebraic expression 4x2 − y2 + 6y − 9 is equal to:
(2x + y − 3)(2x − y + 3)
(2x − y − 3)(2x + y + 3)
(2x + y − 3)2
(2x + y + 3)2