# Introduction to Three Dimensional Geometry MCQ Questions for Class 11 Math’s Chapter 12 with Answers

## Q1. Three vertices of a parallelogram ABCD are A(1, 2, 3), B(-1, -2, -1) and C(2, 3, 2). Find the fourth vertex D.

(i) (– 4, – 7, – 6)
(ii) (4, 7, 6)
(iii) (4, 7, – 6)
(iv) None of these

(ii) (4, 7, 6)

## Q2. For every point P(x, y, z) on the xy-plane

(i) x = 0
(ii) y = 0
(iii) z = 0
(iv) None of these

(iii) z = 0

## Q3. The equation of the set of point P, the sum of whose distance from A(4, 0, 0) and B(-4, 0, 0) is equal to 10 is

(i) 9x² + 25y² + 25z² + 225 = 0
(ii) 9x² + 25y² + 25z² – 225 = 0
(iii) 9x² + 25y² – 25z² – 225 = 0
(iv) 9x² – 25y² – 25z² – 225 = 0

(ii) 9x² + 25y² + 25z² – 225 = 0

(i) (-3, 5, 2)
(ii) (3, 5, 2)
(iii) (3, -5, 2)
(iv) (3, 5, -2)

(i) (-3, 5, 2)

(i) (-3, 5, 2)
(ii) (3, 5, 2)
(iii) (3, -5, 2)
(iv) (3, 5, -2)

(i) (-3, 5, 2)

## Q6. The locus of a point for which y = 0, z = 0 is

(i) equation of x-axis
(ii) equation of y-axis
(iii) equation of z-axis
(iv) None of these

(i) equation of x-axis

(i) 1st
(ii) 2nd
(iii) 6th
(iv) 7th

(iii) 6th

(i) X-axis
(ii) Y-axis
(iii) Z-axis
(iv) X-Y plane

(iii) Z-axis

## Q9. Distance of the point (1, 2, 3) from the coordinate axes are

(i) 13, 10, 5
(ii) √13, √10, √5
(iii) √5, √13, √10
(iv) 1/√13, 1/√10, 1/√5

(ii) √13, √10, √5

## Q10. The equation of the plane containing the line 2x – 5y + z = 3, x + y + 4z = 5 and parallel to the plane x + 3y + 6z = 1 is

(i) x + 3y + 6z + 7 = 0
(ii) x + 3y – 6z – 7 = 0
(iii) x – 3y + 6z – 7 = 0
(iv) x + 3y + 6z – 7 = 0

(iv) x + 3y + 6z – 7 = 0

## Q11. The locus of a point which moves so that the difference of the squares of its distances from two given points is constant, is a

(i) Straight line
(ii) Plane
(iii) Sphere
(iv) None of these

(ii) Plane

## Q12. Three planes x + y = 0, y + z = 0, and x + z = 0

(i) none of these
(ii) meet in a line
(iii) meet in a unique point
(iv) meet taken two at a time in parallel lines

(iii) meet in a unique point

## Q13. The coordinates of the point where the line through (5, 1, 6) and (3, 4, 1) crosses the YZ plane is

(i) (0, 17/2, 13/2)
(ii) (0, -17/2, -13/2)
(iii) (0, 17/2, -13/2)
(iv) None of these

(iii) (0, 17/2, -13/2)

(i) -2
(ii) 2
(iii) 3
(iv) -1

(i) -2

## Q15. Find the distance of point (2, 3, 5) from Y-Z plane.

(i) 2 units
(ii) 3 units
(iii) 5 units
(iv) 1 unit

(i) 2 units

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