If p1 = 0 and p2 = 0 be two non-parallel planes, then the equation p1 + λ p2 = 0, λ ϵ R represents the family of all planes through S the line of section of planes p1 = 0 and p2 = 0 except the plane

Question

If p1 = 0 and p2 = 0 be two non-parallel planes, then the equation p1 + λ p2 = 0, λ ϵ R represents the family of all planes through S the line of section of planes p1 = 0 and p2 = 0 except the plane (A) p1 = 0 (B) p2 = 0 (C) p1+p2 = 0 (D) p1-p2 = 0

Tardigrade Admin · Accepted Answer

Since p1 + λ p2 = 0 can become p2 = 0 if λ = 0 not possible.

Q. If $p_{1}$ = 0 and $p_{2}$ = 0 be two non-parallel planes, then the equation $p_{1} + λ p_{2} = 0, λ ϵ R$ represents the family of all planes through S the line of section of planes $p_{1} = 0$ and $p_{2} = 0$ except the plane

$p_{1} = 0$

$p_{2} = 0$

$p_{1} + p_{2} = 0$

$p_{1} - p_{2} = 0$

Since $p_{1} + λ p_{2}$ = 0 can become $p_{2}$ = 0 if $λ$ = 0 not possible.

Q. If p1​ = 0 and p2​ = 0 be two non-parallel planes, then the equation p1​+λp2​=0,λϵR represents the family of all planes through S the line of section of planes p1​=0 and p2​=0 except the plane

p1​=0

p2​=0

p1​+p2​=0

p1​−p2​=0