# NCERT Class 12-Mathematics: Chapter –11 Three Dimensional Geometry Part 11

Doorsteptutor material for IMO is prepared by world's top subject experts: fully solved questions with step-by-step explanation- practice your way to success.

Download PDF of This Page (Size: 126K) ↧

**Question 30:**

If the directions cosines of a line are *,* then

(A)

(B)

(C)

(D)

**Answer: (D)**

**Question 31:**

The distance of the plane from the origin is

(A)

(B)

(C)

(D) None of these

**Answer: (A)**

**Question 32:**

The sine of the angle between the straight line and the plane is

(A)

(B)

(C)

(D)

**Answer: (D)**

**Question 33:**

The reflection of the point in the plane is

(A)

(B)

(C)

(D)

**Answer: (D)**

**Question 34:**

The area of the quadrilateral ABCD, where and , is equal to

(A)

(B)

(C)

(D)

**Answer: (A)**

**Question 35:**

The locus represented by is

(A) A pair of perpendicular lines

(B) A pair of parallel lines

(C) A pair of parallel planes

(D) A pair of perpendicular planes

**Answer: (D)**

**Question 36:**

The plane makes an angle with axis. The value of is equal to

(A)

(B)

(C)

(D)

**Answer: (C)**

## Fill in the Blanks in Each of the Exercises 37 to 41

**Question 37:**

A plane passes through the points and . The equation of plane is __________.

**Answer:**

**Question 38:**

The direction cosines of the vector are ____________

**Answer:**