Three Dimensional Geometry Question 303

Question: A line joining the points (1, 2, 0) and (4, 13, 5) is perpendicular to a plane. Then the coefficients of x, y and z in the equation of the plane are respectively

[J & K 2005]

Options:

A) 5, 15, 5

B) 3, 11, 5

C) 3, ?11, 5

D) ? 5, ? 15, 5

Show Answer

Answer:

Correct Answer: B

Solution:

Since d.r’s of line is also the d.r’s of normal to the plane,
$ \therefore $ Required coefficient of $ x,y $ and z will be $ (4-1),(13-2),(5-0) $ i.e., $ (3,,11,,5) $ .