11th Math Introduction to 3 Dimensional Geometry MCQ Chapter Quiz: Check knowledge with instant result

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Introduction to Three Dimensional Geometry MCQ Test

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Time: 10 Minutes for 10 Question.

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11th Math: Introduction to Three Dimensional Geometry

1 / 12

1. The image of the point (-2, 3, 4) in the yz-plane is (-2, 0, 4). This is obtained by keeping the x-coordinate unchanged and setting the y-coordinate to 0, as the yz-plane is defined by having y = 0.

(-2, 3, 4)

(2, 3, 4)

(-2, -3, -4)

(-2, -3, 4)

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2 / 12

2. The locus represented by the equation xy + yz = 0 is:

A pair of parallel lines

A pair of parallel planes

A pair of perpendicular lines

A pair of perpendicular planes

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3 / 12

3. What is the distance separating the points (2, –1, 3) and (–2, 1, 3)?

25 units

None

2√5 units

√5 units

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4 / 12

4. The distance of the point P(a, b, c) from the x-axis is:

√(a² + b²)

None

√(b² + c²)

√(a² + c²)

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5 / 12

5. The image of the point P(1,3,4) in the plane 2x – y + z = 0 is:

(3, -5, 2)

(-3, 5, 2)

(3, 5, 2)

(3, 5, -2)

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6 / 12

6. A point is on the x-axis. Which of the following represent the point?

(x, 0, 0)

(0, 0, x)

None

(0, x, 0)

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7 / 12

7. The space is divided into ---- octants by coordinate planes.

6

5

7

8

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8 / 12

8. Which octant do the point (−5,4,3) lie?

Octant I

Octant III

Octant IV

Octant II

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9 / 12

9. The perpendicular distance of the point P(6, 7, 8) from the XY – Plane is:

8

9

10

7

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10 / 12

10. Three vertices of a parallelogram ABCD are A(3, – 1, 2), B (1, 2, – 4) and C (– 1, 1, 2). Find the coordinates of the fourth vertex.

(1, 2, 8)

None

(1, – 2, 8)

(-1, 2, 8)

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11 / 12

11. What is the maximum distance between the points (3sin θ, 0, 0) and (4cos θ, 0, 0)?

6

4

5

3

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12 / 12

12. In below image, if P is (2,4,5), find the coordinates of F.

(2,0,1)

(2,0,5)

None

(2,1,5)

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