Home Maths Vector Algebra NTA Abhiyas Question - Vector 3D Let P 1 =x + y + z + 1 = 0, P 2 =x - y + 2z …
Maths Vector Algebra NTA Abhiyas Question - Vector 3D Single Correct MCQ
Published on: August 14, 2026

Let P 1 =x + y + z + 1 = 0, P 2 =x - y + 2z + 1 = 0 and P 3 = 3x + y + 4z + 7 = 0 be three planes. The distance of the line of intersectionof planes P 1 = 0 and P 2 = 0 from the plane P 3 = 0 is

A
units
B
units
C
units
D
units

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Verified by Experts
The correct answer is:
C

units

A vector parallel to the line of intersection is

for a point on the line of intersection

Put z = 0

So, equation line to the intersection is

line of intersection is parallel to the plane P 3 = 0

So, Stance =

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