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The Planes: 2x − Y + 4z = 5 and 5x − 2.5y + 10z = 6 Are - CBSE (Commerce) Class 12 - Mathematics

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Question

The planes: 2− y + 4z = 5 and 5x − 2.5y + 10z = 6 are

(A) Perpendicular

(B) Parallel

(C) intersect y-axis

(C) passes through `(0,0,5/4)`

Solution

The equations of the planes are

2− y + 4z = 5 … (1)

5x − 2.5y + 10z = 6 … (2)

It can be seen that,

Therefore, the given planes are parallel.

Hence, the correct answer is B.

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 11: Three Dimensional Geometry
Q: 23 | Page no. 499
Solution The Planes: 2x − Y + 4z = 5 and 5x − 2.5y + 10z = 6 Are Concept: Plane - Equation of a Plane in Normal Form.
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