3d Graph Worksheet

**Page 1**

1.

Find the coordinates of the point P shown.

a. | (0, 0, 4) | ||

b. | (4, 0, 0) | ||

c. | (0, 4, 0) | ||

d. | (0, - 4, 0) |

[Refer the figure.]

So, the coordinates of P are (0, - 4, 0)

[Use negative sign for left side.]

Correct answer : (4)

2.

What are the coordinates of the point A?

a. | (1, - 2, 3) | ||

b. | (1, 2, 3) | ||

c. | (- 1, 2, 3) | ||

d. | (1, 2, - 3) |

[Refer the figure.]

The point A is 2 units right of origin, so its

[Refer the figure.]

The point A is 3 units upwards of origin, so its

So, the coordinates of A are (1, 2, 3).

Correct answer : (2)

3.

Find the coordinates of the point B shown.

a. | (3, - 3, 5) | ||

b. | (3, 3, -5) | ||

c. | (3, - 3, - 5) | ||

d. | (3, 3, 5) |

[Refer the figure.]

The point B is 3 units left of origin, so its

The point B is 5 units downward of origin, so its

[Refer the figure.]

So, the coordinates of the point B are (3, - 3, - 5).

Correct answer : (3)

4.

What does the graph of $\mathrm{ax\; +\; by\; +\; cz\; +\; d}$ = 0 represent?

a. | A plane | ||

b. | A line | ||

c. | A point | ||

d. | A circle |

Correct answer : (1)

5.

A line that passes through two intercepts of a plane on the coordinate axes is called

a. | A segment | ||

b. | Axis | ||

c. | A trace | ||

d. | An intercept |

[Definition.]

Correct answer : (3)

6.

Find the coordinates the point R shown.

a. | (- 3, 0, 0) | ||

b. | (3, 0, 0) | ||

c. | (0, 3, 0) | ||

d. | (0, 0, 3) |

[Refer the figure.]

So, the coordinates of R are (3, 0, 0)

[Use positive sign for forwards.]

Correct answer : (2)

7.

Which of the following is correct?

a. | Trace of a plane is a circle | ||

b. | Trace of a plane is a line segment | ||

c. | Trace of a plane is a line | ||

d. | Trace of a plane is a point |

So, trace of a plane is a line.

Correct answer : (3)

8.

Which of the following is correct?

a. | Every ordered pair of real numbers describes the position of a unique point of plane | ||

b. | Every ordered triple of real numbers describes the position of a unique point of space | ||

c. | Every ordered pair of real numbers describes the position of a unique point of space | ||

d. | Both A and B |

Correct answer : (4)

9.

If "7 units backward, 11 units right and 5 units down" describes the coordinates (- 7, 11, - 5) then the coordinates which describes "5 units forward, 7 units left and 10 units up" are

a. | (5, 7, - 10) | ||

b. | (5, 7, 10) | ||

c. | (5, - 7, 10) | ||

d. | (- 5, 7, 10) |

So, "5 units forward, 7 units left and 10 units up" can be described by the coordinates (5, - 7, 10).

Correct answer : (3)

10.

Which is the direction described by the point (0, - 2, 0) with respect to origin?

a. | Down | ||

b. | Left | ||

c. | Forward | ||

d. | Up |

Since,

As,

[For

Correct answer : (2)