IIT-JEE 1984

\(A, B, C\) and \(D,\) are four points in a plane with position vectors \(a, b, c\) and \(d\) respectively such that
$$$\left( {\overrightarrow a - \overrightarrow d } \right)\left( {\overrightarrow b - \overrightarrow c } \right) = \left...

A block of mass 1 kg lies on a horizontal surface in a truck. The coefficient of static friction between the block and the surface is 0.6. If the acceleration of the truck is 5 m/s2, the frictional force acting on the block is _________ new...

A simple pendulum with a bob of mass m swings with an angular amplitude of \(40^\circ\). When its angular displacement is \(20^\circ\), the tension in the string is greater than mg cos\(20^\circ\).

Four person K, L, M, N are initially at the four corners of a square of side d. Each person now moves with a uniform speed v in such a way that K always moves directly towards L, L directly towards M, M directly towards N, and N directly to...

A projectile fired from the ground follows a parabolic path. The speed of the projectile is minimum at the top of its path.

A body is moved along a straight line by a machine delivering constant power. The distance moved by the body in the time t is proportional to