JEE Advanced 2007 Mathematics question

Consider the planes 3x − 6y − 2z = 15 and 2x + y − 2z = 5. STATEMENT-1 : The parametric equations of the line of intersection of the given planes are x = 3 + 14t, y = 1 + 2t, z = 15t. because STATEMENT-2 : The vector 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 TrueCorrect

Answer: (D)

Solution

Direction of the line of intersection: , so Statement-2 is true. For Statement-1, the

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Question ID VK-037523