Question

Number of planes which are at a given perpendicular distance from a given point and passing through the given point is

• A. $0$
• B. $2$
• C. $4$
• D. Infinite

Answer 1

Answer: (A), (D)

The correct options are
A $0$
D Infinite

Given that the planes should be at a particular distance from given point.

Let the given point be $P$ and the distance of plane from $P$ be $d$

Given that the plane should be at a distance of $d$ from point $P$ and passes through the point $P$

If $d\ne 0$ , then there will be zero planes which satisfies given condition

if $d=0$ , then there will be infinite number of planes which satisfies the given condition

Therefore the correct option is $A,D$