Class 10 Practice – Level 2 – Set 2 – Coordinate Geometry

Total questions: 25

The ratio in which the x-axis divides internally the line segment joining (2, –3) and (3, 5) is:

Topic: Section Formula

1 : 2

2 : 3

3 : 5

5 : 7

None

If (2, 2p + 2) is the mid-point of (3p, 4) and (–2, 2q), the value of p and q are:

Topic: Midpoint Formula

2, 4

3, 6

7, 9

8, 10

None

Which point on y-axis is equidistant from (2, 3) and (–4, 1) ?

Topic: Perpendicular Bisector

(0, 4)

(0, –1)

(0, 0)

(0, 5)

None

The coordinate of a point A on the y-axis is 5 and B has coordinates (−3, 1), then the length of AB is:

Topic: Distance Formula

4 units

5 units

2 units

3 units

None

If the point P(x, y) is equidistant from the points A(5, 1) and B(−1, 5), then:

Topic: Equidistant Points

x = 2y

3x = 2y

3x = y

3x = 4y

None

What is the values of x for which the distance between the point P(x, 4) and Q(9, 10) is 10 units?

Topic: Distance Formula

x = 1, 1

x = 7, 1

x = 17, 1

x = 17, 7

None

If the distance of P(x, y) from A(6, 2) and B(−2, 6) are equal, then:

Topic: Equidistant Points

y = x

y = 3x

y = 2x

y = 4x

None

Find the values of y for which the distance between the points A(3, −1) and B(11, y) is 10 units.

Topic: Distance Formula

5, −7

5, −5

5, 6

5, 9

None

Points (−3, 0),(1, −3) and (4, 1) are the vertices of:

Topic: Area of a Triangle

Isosceles right-triangle

Equilateral triangle

Scalene triangle

Isosceles triangle

None

10.

Find ' k ' so that the point P(−4, 6) lies on the line segment joining A(k, 10) and B(3, −8).

Topic: Section Formula

−6

$ \displaystyle {-\dfrac{3}{5}}$

−3

None

11.

Points (−3, 0),(1, −3) and (4, 1) are the vertices of:

Topic: Area of a Triangle

Isosceles right-triangle

Equilateral triangle

Scalene triangle

Isosceles triangle

None

12.

What is the value of k if the points A(2, 3), B(4, k) and C(6, −3) are collinear?

Topic: Collinearity of Points

None

13.

If A(−5, 7), B(−4, −5),C(−1, −6) and D(4, 5) are the vertices of a quadrilateral, what is the area of the quadrilateral ABCD?

Topic: Area of a Quadrilateral

None

14.

The join of (–3, 2) and (4, 6) is cut by x-axis in the ratio:

Topic: Section Formula

2 : 3 internally

1 : 2 externally

1 : 3 externally

3 : 2 internally

None

15.

The ratio in which the line segment joining (2, –3) and (5, 6) is divided by (i) x-axis (ii) y-axis is:

Topic: Section Formula

1 : 2 (internal), 2 : 5 (external)

1 : 2 (internal), 2 : 5 (internal)

1 : 2 (external), 2 : 5 (internal)

1 : 2 (external), 2 : 5 (external)

None

16.

The points (−2, −5), (2, −2), (8, a) are collinear, then the value of a is:

Topic: Collinearity of Points

$ \displaystyle {-\dfrac{5}{2}}$

$ \displaystyle {\dfrac{5}{2}}$

$ \displaystyle {\dfrac{3}{2}}$

$ \displaystyle {\dfrac{1}{2}}$

None

17.

The area of the triangle with vertices at (–4, 1), (1, 2), (4, –3) is:

Topic: Area of a Triangle

None

18.

What is a relation between x and y such that the point (x, y) is equidistant from the points (7, 1) and (3, 5)?

Topic: Perpendicular Bisector

None

19.

If the distance of P(x, y) from A(5, 1) and B(−1, 5) are equal then is it true that 3x = 2y?

Topic: Midpoint Formula

True

False

Cannot be determined

Incomplete information

None

20.

The points A(7, 10), B(−2, 5) and C(3, −4) are the vertices of an isosceles right triangle. Is it true or not?

Topic: Distance Formula

True

False

Cannot be determined

Incomplete information

None

21.

What is the value of the point on the x-axis which is equidistant from the points (2, −5) and (−2, 9)?

Topic: Midpoint Formula

(−3, 0)

(−4, 1)

(−6, 2)

(−7, 0)

None

22.

If the points P(x, y) is equidistant from the points A(5, 1) and B(−1, 5), Is 3x = 2y?

Topic: Midpoint Formula

True

False

Cannot be determined

Incomplete information

None

23.

What is the value of the point on the y-axis which is equidistant from the points A(6, 5) and B(−4, 3)?

Topic: Midpoint Formula

None

24.

What is the distance between the points: A(1, −3) and B(4, −6)?

Topic: Distance Formula

3√2

4√5

7√3

6√4

None

25.

What is the value of the point on the y-axis which is equidistant from the points A(6, 5) and B(−4, 3)?

Topic: Midpoint Formula

(0, 7)

(0, 9)

(0, 4)

(0, 2)

None

1 out of 25

Time's up

Class 10 Practice – Level 2 – Set 2 – Coordinate Geometry

Welcome back