Class 10 Practice – Level 3 – Set 1 – Coordinate Geometry

Total questions: 15

Find the centre of a circle passing through the points (6,−6),(3,−7) and (3,3).

Topic: Equation of a Circle

(3, -3)

(3, -2)

(8, -2)

None of these

None

The two opposite vertices of a square are (−1,2) and (3,2). then the coordinates of the Â other two vertices are:

Topic: Properties of a Square

(1, 0) or (1, 7) and (1, 7)

(8, 0) or (5, 4) and (1, 4)

(1, 0) or (1, 4) and (1, 2)

None of these

None

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 (external), 2 : 5 (external)

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

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

None of these

None

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

Topic: Collinearity of Points

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

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

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

$\displaystyle \dfrac{6}{2}$

None

Calculate the area of the triangle with vertices A(−5,1),B(5,5) and C(10,7)?

Topic: Area of a Triangle

Δ=0

Δ=8

Δ=2

Δ=5

None

For what value of y are points P(1,4),Q(3,y) and R(−3,16) are collinear?

Topic: Collinearity of Points

y = 2

y = -7

y = -2

None of these

None

Find the area of ΔABC whose vertices are A(−5,7),B(−4,−5) and C(4,5).

Topic: Area of a Triangle

8 sq. unit

6 sq. unit

5 sq. unit

None of these

None

For what value of k(k>0) is the area of the triangle with vertices (−2,5),(k,−4) and (2k+1,10) equal to 53 square units?

Topic: Area of a Triangle

None

If the vertices of ΔABC be A(1,−3),B(4,p) and C(−9,7) and its area is 15 square units, then the value of p is:

Topic: Area of a Triangle

-4

-3

None

10.

Find the area of ΔABC with A(1,−4) and midpoints of sides through A being (2,−1) and (0,−1).

Topic: Area of a Triangle

24 sq. units

12 sq. units

64 sq. units

None of these

None

11.

If the points A(2,3),B(4,k) and C(6,−3) are collinear, find the value of k.

Topic: Collinearity of Points

None

12.

Find the point on x-axis which is equidistant from points A(−1,0) and B(5,0).

Topic: Equidistant Points

(2, 0)

(-2, 0)

(5, 0)

None of these

None

13.

If the point P(k−1,2) is equidistant from the points A(3,k) and B(k,5), find the values of k.

Topic: Equidistant Points

k = 5 or k = -5

k = -1 or k = -5

k = 1 or k = 5

None of these

None

14.

Points A(−1,y) and B(5,7) lie on a circle with centre O(2,−3y), then the values of y can be:

Topic: Circle and Points on it

7 or -1

-7 or -1

7 or 1

None of above

None

15.

Find the centroid of ΔABC whose vertices are A(2,2),B(−4,−4) and C(5,−8).

Topic: Centroid of Triangle

$\displaystyle \left( {4,\dfrac{{-20}}{3}} \right)$

$\displaystyle \left( {1,\dfrac{{-10}}{3}} \right)$

$\displaystyle \left( {-1,\dfrac{{10}}{-3}} \right)$

$\displaystyle \left( {-2,\dfrac{{20}}{-3}} \right)$

None

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Class 10 Practice – Level 3 – Set 1 – Coordinate Geometry

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