AIEEE 2011 PYQ Mock Test

The number of values of $k$ for which the linear equations $4x+ky+2z=0$, $kx+4y+z=0$, and $2x+2y+z=0$ possess a non-zero solution is:

Consider the following statements:$P$ : Suman is brilliant$Q$ : Suman is rich$R$ : Suman is honestThe negation of the statement "Suman is brilliant and dishonest if and only if Suman is rich" can be expressed as:

The shortest distance between the line $y-x=1$ and the curve $x=y^2$ is:

If the mean deviation about the median of the numbers $a,2a,\dots ,50a$ is $50$, then $|a|$ equals:

Statement-1 : The point $A(1,0,7)$ is the mirror image of the point $B(1,6,3)$ in the line $\frac{x-1}{0}=\frac{y-1}{2}=\frac{z-2}{3}$.Statement-2 : The line $\frac{x-1}{0}=\frac{y-1}{2}=\frac{z-2}{3}$ bisects the line segment joining $A(1,0,7)$ and $B(1,6,3)$.