Coordinate Geometry Test

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Coordinate Geometry Test - 5

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Weekly Quiz Competition

Question 1
1 / -0

AOBC is a rectangle whose three vertices are vertices A (0, 3), O (0, 0) and B (5, 0). The length of its diagonal is

A
5 units

B
3 units

C
√34 units

D
4 units
Question 2
1 / -0

The area of a triangle with vertices A (3, 0), B (7, 0) and C (8, 4) is

A
14 sq. units

B
28 sq. units

C
8 sq. units

D
6 sq. units
Question 3
1 / -0

The point which divides the line segment joining the points (7, –6) and (3, 4) in ratio 1 : 2 internally lies in the

A
I quadrant

B
II quadrant

C
III quadrant

D
IV quadrant
Question 4
1 / -0

The points which lies on the perpendicular bisector of the line segment joining the points A (–2, –5), B (2, 5) is

A
(0, 2)

B
(2, 0)

C
(–2, 0)

D
(0, 0)
Question 5
1 / -0

The perpendicular bisector of the line segment joining the points A (1, 5) and B (4, 6) cuts the y-axis at

A
(0, 13)

B
(0, –13)

C
(0, 12)

D
(13, 0)
Question 6
1 / -0

A line intersects the y-axis and x-axis at the points P and Q, respectively. If (2, –5) is the mid-point of PQ, then the coordinates of P and Q are, respectively

A
(0, –5) and (2, 0)

B
(0, 10) and (–4, 0)

C
(0, 4) and (–10, 0)

D
(0, –10) and (4, 0)
Question 7
1 / -0

The area a triangle with vertices (a, b + c), (b, c + a) and (c, a + b) is

A
(a + b + c)²

B
0

C
a + b + c

D
abc
Question 8
1 / -0

If the distance between the points (4, p) and (1, 0) is 5, then the value of p is

A
4 only

B
± 4

C
– 4 only

D
0
Question 9
1 / -0

If the points A (1, 2), O (0, 0) and C (a, b) are collinear then

A
a = b

B
a = 2b

C
2a = b

D
a = – b
Question 10
1 / -0

The distance of the point P (5, –1) from the y-axis is

A
5

B
2

C
3

D
7
Question 11
1 / -0

The distance between the points (cos θ, sin θ) and (sin θ, –cos θ) is

A
√3

B
√2

C
2

D
1

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Re-Attempt Weekly Quiz Competition

Coordinate Geometry Test - 5

Result

Coordinate Geometry Test - 5

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Question 1

5 units

3 units

√34 units

4 units

Question 2

14 sq. units

28 sq. units

8 sq. units

6 sq. units

Question 3

I quadrant

II quadrant

III quadrant

IV quadrant

Question 4

(0, 2)

(2, 0)

(–2, 0)

(0, 0)

Question 5

(0, 13)

(0, –13)

(0, 12)

(13, 0)

Question 6

(0, –5) and (2, 0)

(0, 10) and (–4, 0)

(0, 4) and (–10, 0)

(0, –10) and (4, 0)

Question 7

(a + b + c)2

0

a + b + c

abc

Question 8

4 only

± 4

– 4 only

0

Question 9

a = b

a = 2b

2a = b

a = – b

Question 10

5

2

3

7

Question 11

√3

√2

2

1

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(a + b + c)²