AIEEE 2007 PYQ Mock Test

If $p$ and $q$ are positive real numbers such that $p^2+q^2=1$, then the maximum value of $(p+q)$ is:

A tower stands at the centre of a circular park. $A$ and $B$ are two points on the boundary of the park such that $AB(=a)$ subtends an angle of $60^{\circ }$ at the foot of the tower, and the angle of elevation of the top of the tower from $A$ or $B$ is $30^{\circ }$. The height of the tower is:

The sum of the series ${}^{20}{C}_0-{}^{20}{C}_1+{}^{20}{C}_2-{}^{20}{C}_3+\cdots +{}^{20}{C}_{10}$ is:

The normal to a curve at $P(x,y)$ meets the $x$ -axis at $G$. If the distance of $G$ from the origin is twice the abscissa of $P$, then the curve is a:

If $|z+4|\le 3$, then the maximum value of $|z+1|$ is: