Class 11th

 $L$ is the foot of the perpendicular drawn from a point $P\left(3,4,5\right)$ on the $xy$ -plane. The coordinates of point $L$ are

(a) $\left(3,0,0\right)$          

(b) $\left(0,4,5\right)$       

(c) $\left(3,0,5\right)$     

(d)  None of these

If a parallelepiped is formed by planes drawn through the points $\left(5,8,10\right)$  and   $\left(3,6,8\right)$ parallel to the coordinate planes, then the length of the diagonal of the parallelepiped is

(a) $2\sqrt[]{3}$    

(b) $3\sqrt[]{2}$

(c) $\sqrt[]{2}$  

(d) $\sqrt[]{3}$

The locus of a point for which $x=0$  is

(a) $xy$   -plane

(b) $yz$ -plane

(c) $zx$ -plane

(d) None of these

The locus of a point for which $y=0,z=0$  is

(a) Equation of x-axis

(b) Equation of y-axis

(c) Equation of z-axis

(d) None of these

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The locus of a point for which $y=0,z=0$  is

(a) Equation of $x$ -axis

(b) Equation of $y$ -axis

(c) Equation of $z$ -axis

(d) None of these

A plane is parallel to yz-plane so it is perpendicular to:

(a) x -axis

(b) y-axis

(c) z-axis

(d) None of these

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