Slope of a Line

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A body travels a distance s in t seconds. It starts from rest and ends at rest. In the first part of the journey, it moves with constant acceleration f and in the second part with constant retardation r. The value of t is given by

2 s (\frac{1}{f} + \frac{1}{r})

2 s (\frac{1}{f} + \frac{1}{r})

\frac{1}{f} + \frac{1}{r}

2 s (f + r)

JEE Advanced 2002

Let $0 < α < π /2$ be fixed angle. If $P = (cos θ, sin θ)$ and $Q = (cos (α - θ), sin (α - θ))$ , then $Q$ is obtained from $P$ by

clockwise rotation around origin through an angle

α

anticlockwise rotation around origin through an angle

α

reflection in the line through origin with slope

tan α

reflection in the line through origin with slope

tan (α /2)

JEE Advanced 1986

The points $(0, 8/3), (1, 3)$ and $(82, 30)$ are vertices of

an obtuse angled triangle

an acute angled triangle

a right angled triangle

an isosceles triangle

JEE Advanced 1979

The points $(- a, - b), (0, 0), (a, b)$ and $(a^{2}, ab)$ are:

Vertices of a parallelogram

Vertices of a rectangle