Three Dimensional Geometry Question 358

Question: The line $ \frac{x-3}{2}=\frac{y-4}{3}=\frac{z-5}{4} $ lies in the plane $ 4x+4y-kz-d=0 $ . The values of k and d are

Options:

A) 4, 8

B) -5, -3

C) 5, 3

D) - 4, - 8

Show Answer

Answer:

Correct Answer: C

Solution:

Since the line lies on the given plane, therefore any point on the line will satisfy the plane i.e., the points (3, 4, 5) and (5, 7, 9) will lie on the plane. Hence $ k=5,d=3. $