# Quiz- 4

Question 1

Time: 00:00:00
What will be the distance of the point (5, -5) from the origin?

5

5

√2

√2

3

3

cannot be determined

cannot be determined

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Question 2

Time: 00:00:00
A point divides the line whose points are (2, 3) and (5, 6) in the ratio 2 : 3, what are its coordinates?

18/5, 23/5

18/5, 23/5

12/5, 27,5

12/5, 27,5

17/5, 22/5

17/5, 22/5

cannot be determined

cannot be determined

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Question 3

Time: 00:00:00
What will be the quadrant of the midpoint of the line segment A (2, 3) and B (5, 6)?

2

2

1

1

3

3

cannot be determined

cannot be determined

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Question 4

Time: 00:00:00
What will be the coordinates of the point P, where PS is the diameter of a circle with a centre (2, -3) and S (1, 4)?

2, 7

2, 7

1, 5

1, 5

3, -10

3, -10

cannot be determined

cannot be determined

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Question 5

Time: 00:00:00
What is the value of P, for which points (7, -2), (5, 1), (3, p) are collinear?

7

7

2

2

3

3

cannot be determined

cannot be determined

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Question 6

Time: 00:00:00
A triangle has the coordinates A (1, 2), B (2, 5), and C (-2, -5). Calculate its area.

5

5

6

6

1

1

cannot be determined

cannot be determined

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Question 7

Time: 00:00:00
Calculate the ratio in which the line 2x + y – 4 = 0 divides a second line segment which joins the points (2, -2) and (3, 7)?

5:5

5:5

2:9

2:9

1:2

1:2

Cannot be determined

Cannot be determined

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Question 8

Time: 00:00:00
A line segment joins the point (3, 4) and ( a, 4). Its mid-point is P (x, y). If the equation of the line is x + y – 20= 0, what will be the value of a?

45

45

29

29

12

12

Cannot be determined

Cannot be determined

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Question 9

Time: 00:00:00
Calculate the centroid of the triangle with vertices (3, -5), (-7, 4), (10, -2)?

(3, 6)

(3, 6)

(1, -2)

(1, -2)

(2, -1)

(2, -1)

Cannot be determined

Cannot be determined

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Question 10

Time: 00:00:00
A parallelogram has vertices (1, 2), (4, y), (x, 6), and (3, 5), calculate the values of x and y?

(6, 3)

(6, 3)

(3, 6)

(3, 6)

(6,6)

(6,6)

cannot be determined

cannot be determined

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