AIEEE 2007 PYQ Mock Test

A body weighing $13\text{kg}$ is suspended by two strings $5\text{m}$ and $12\text{m}$ long, their other ends being fastened to the extremities of a rod $13\text{m}$ long. If the rod be so held that the body hangs immediately below the middle point. The tensions in the strings are:

A pair of fair dice is thrown independently three times. The probability of getting a score of exactly $9$ twice is:

Consider a family of circles which are passing through the point $(-1,1)$ and are tangent to the $x$ -axis. If $(h,k)$ are the coordinates of the centre of the circles, then the set of values of $k$ is given by the interval:

Let $L$ be the line of intersection of the planes $2x+3y+z=1$ and $x+3y+2z=2$. If $L$ makes an angle $\alpha$ with the positive $x$ -axis, then $\cos \alpha$ equals:

The differential equation of all circles passing through the origin and having their centres on the $x$ -axis is: