**CBSE Class 10 Maths – MCQ and Online Tests – Unit 7 – Coordinate Geometry**

Every year CBSE conducts board exams for 10th standard. These exams are very competitive to all the students. So our website provides online tests for all the 10th subjects. These tests are also very effective and useful for those who preparing for competitive exams like NEET, JEE, CA etc. It can boost their preparation level and confidence level by attempting these chapter wise online tests.

These online tests are based on latest CBSE Class 10 syllabus. While attempting these our students can identify the weak lessons and continuously practice those lessons for attaining high marks. It also helps to revise the NCERT textbooks thoroughly.

**CBSE Class 10 Maths – MCQ and Online Tests – Unit 7 – Coordinate Geometry**

Question 1.

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

(a) 2

(b) 3

(c) 1

(d) 5

## Answer

Answer: (b) 3

Question 2.

The distance between the points A(0, 6) and B(0, -2) is

(a) 6

(b) 8

(c) 4

(d) 2

## Answer

Answer: (b) 8

Question 3.

The distance of the point P(-6, 8) from the origin is

(a) 8

(b) 2√7

(c) 10

(d) 6

## Answer

Answer: (c) 10

Question 4.

The distance between the points (0, 5) and (-5, 0) is

(a) 5

(b) 5√2

(c) 2√5

(d) 10

## Answer

Answer: (b) 5√2

Question 5.

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

(a) 5

(b) 3

(c) \(\sqrt{34}\)

(d) 4

## Answer

Answer: (c) \(\sqrt{34}\)

Question 6.

The perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0) is

(a) 5

(b) 12

(c) 11

(d) 7 + √5

## Answer

Answer: (b) 12

Question 7.

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

(a) 14

(b) 28

(c) 8

(d) 6

## Answer

Answer: (c) 8

Question 8.

The points (-4, 0), (4, 0), (0, 3) are the vertices of a

(а) Right triangle

(b) Isosceles triangle

(c) Equilateral triangle

(d) Scalene triangle

## Answer

Answer: (b) Isosceles triangle

Question 9.

The point which divides the lines 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

## Answer

Answer: (d) IV quadrant

Question 10.

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

(a) (0, 0)

(b) (0, 2)

(c) (2, 0)

(d) (-2, 0)

## Answer

Answer: (a) (0, 0)

Question 11.

The fourth vertex D of a parallelogram ABCD whose three vertices are A(-2, 3), B(6, 7) and C(8, 3) is

(a) (0, 1)

(b) (0, -1)

(c) (-1, 0)

(d)(1, 0)

## Answer

Answer: (b) (0, -1)

Question 12.

If the point P(2, 1) lies on the line segment joining points A(4, 2) and B(8, 4), then

(a) AP = \(\frac{1}{3}\) AB

(b) AP = PB

(c) PB = \(\frac{1}{3}\) AB

(d) AP = \(\frac{1}{2}\) AB

## Answer

Answer: (d) AP = \(\frac{1}{2}\) AB

Question 13.

If P (\(\frac{α}{3}\), 4) is the mid-point of the line segment joining the points Q(-6, 5) and R(-2, 3), then the value of‘a’ is

(a) -4

(b) -12

(c) 12

(d) -6

## Answer

Answer: (b) -12

Question 14.

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

(a) (0, 13)

(b) (0, -13)

(c) (0, 12)

(d) (13, 0)

## Answer

Answer: (a) (0, 13)

Question 15.

The coordinates of the point which is equidistant from the three vertices of the ΔAOB as shown in the figure.

(a) (x, y)

(b) (y, x)

(c) (\(\frac{x}{2}\), \(\frac{y}{2}\))

(d) (\(\frac{y}{2}\), \(\frac{x}{2}\))

## Answer

Answer: (a) (x, y)

Question 16.

A circle drawn with origin as the centre passes through (\(\frac{13}{2}\), 0). The point which does not lie in the interior of the circle is

(a) (-\(\frac{3}{4}\), 1)

(b) (2, \(\frac{7}{3}\))

(c) (5, –\(\frac{1}{2}\))

(d) (-6, \(\frac{5}{2}\))

## Answer

Answer: (d) (-6, \(\frac{5}{2}\))

Question 17.

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)

## Answer

Answer: (d) (0, -10) and (4, 0)

Question 18.

The area of 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

## Answer

Answer: (b) 0

Question 19.

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

## Answer

Answer: (b) ± 4

Question 20.

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

(a) a = b

(b) a = 2b

(c) 2a = b

(d) a = -b

## Answer

Answer: (c) 2a = b

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