ICSE Class 9 Maths Coordinate Geometry MCQ

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1. If the distance between the points (x, -1) and (3, 2) is 5, then the value of x is

2 points

-7 or -1

-7 or 1

7 or 1

7 or -1

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2. Find the values of x and y if: (x - 1, y + 3) = (4, 4,)

2 points

x = 1 ; y = 5

x = 5 ; y = 1

x = -1 ; y = 5

x = 1 ; y = -5

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3. In which quadrant or on which axis each of the following points lie? (-3, 5), (4, -1) (2, 0), (2, 2)

2 points

3rd quadrant, 4th quadrant, x-axis, 2nd quadrant

3rd quadrant, x-axis, 1st quadrant, y-axis

2nd quadrant, 4th quadrant, x-axis, 1st quadrant

x - axis, 1st quadrant, 3rd quadrant, 4th quadrant

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4. A is a point on y-axis whose ordinate is 4 and B is a point on x-axis whose abscissa is -3. The length of the line segment AB is

2 points

8 units

16 units

5 units

9 units

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5. The points A (0, 3), B (- 2, a) and C (- 1, 4) are the vertices of a right angled triangle at A, find the value of a.

2 points

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6. The graph of a linear equation in x and y passes through (4, 0) and (0, 3). Find the value of k if the graph passes through (A, 1.5).

2 points

1.5

3.5

0.5

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7. State, true or false: (i) The ordinate of a point is its x-co-ordinate. (ii) The origin is in the first quadrant. (iii) The y-axis is the vertical number line. (iv) Every point is located in one of the four quadrants

2 points

False, False, True, True

False, True, False True,

False, False, True, False

True, True, False, False

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8. The adjoining figure shows an equilateral triangle OAB with each side = 2a units. Find the coordinates of the vertices.

2 points

O (0 , 0) ; A (a , √3 a) ; B (2a , 0)

O (0 , 0) ; A (2a , a) ; B (0 , 2a)

O (0 , 2a) ; A (2a , √3 a) ; B (a , 0)

O (2a , 0) ; A (a , 2a) ; B (2a , 0)

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9. Write the co-ordinates of the vertices of a rectangle which is 6 units long and 4 units wide if the rectangle is in the first quadrant, its longer side lies on the x-axis and one vertex is at the origin.

2 points

(0,0), (0,4), (6,0), (6,4),

(4,-6), (6,-6), (6,4), (0,-4)

(-6,0), (6,4), (0,6), (6, -4)

(0,0), (6,0), (6,4), (0,4)

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10. The distance of the point P(2, 3) from the x-axis is

2 points

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