QJEEAdv07Maa053: JEE Advanced 2007 Mathematics - Class 12 JEEAdv07Maa053 Solution: Consider the planes 3 x − 6 y − 2 z = 15 and 2 x + y − 2 z = 5. …

Question

Verified Solution • 2025–26 Session moderate

Consider the planes

3 x - 6 y - 2 z = 15

and

2 x + y - 2 z = 5.

STATEMENT-1: The parametric equations of the line of intersection of the given planes are $x = 3 + 14 t, y = 1 + 2 t, z = 15 t .$ because

STATEMENT-2: The vector $14 \hat{i} + 2 \hat{j} + 15 \hat{k}$ is parallel to the line of intersection of given planes.

A Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1
B Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1
C Statement-1 is True, Statement-2 is False
D Statement-1 is False, Statement-2 is True.

Accepted Answer

Answer

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