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Question: Consider the following statements: Assertion (1): the plane y + z + 1 = 0 is parallel to the x-axis...

Consider the following statements:

Assertion (1): the plane y + z + 1 = 0 is parallel to the x-axis.

Reason (R): normal to the plane is parallel to the x-axis.

Of these statements:

A

Both A and R are true and R is the correct explanation of A

B

Both A and R are true and R is not a correct explanation of A

C

A is true but R is false

D

A is false but R is true

Answer

A is true but R is false

Explanation

Solution

Given plane y + z + 1 = 0 is parallel to the x-axis as

0.1 + 1.0 + 1.0 = 0

but normal to the plane will be perpendicular to the x-axis