Explore topic-wise MCQs in Mathematics.

This section includes 15 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

The two vertices of ABC are given by A(-3, 0) and B(-8, 5) and its centroid is (-2, 1).What will be the coordinates of the third vertex C?

A. (-5, -2)
B. (5, 2)
C. (-5, 2)
D. (5, -2)
Answer» E.
Discussion
2.

The coordinates of the ends of the diameter AB of a circle are A (-4, 7) and B(4, 7). What will be the coordinates of the center of the circle?

A. (0, -8)
B. (0, 8)
C. (0, 7)
D. (0, -7)
Answer» D. (0, -7)
Discussion
3.

The coordinates of one end of the diameter AB of a circle are A (-2, -3) and the coordinates of diameter are (-2, 0). What will be the coordinates of B?

A. (2, -3)
B. (-2, 3)
C. (2, 3)
D. (-2, -3)
Answer» C. (2, 3)
Discussion
4.

What will be the centroid of the ABC whose vertices are A(-2, 4), B(0, 0) and C(4, 2)?

A. ( ( frac {2}{3} ), 2)
B. ( ( frac {2}{3} ), 1)
C. ( ( frac {2}{5} ), 2)
D. ( ( frac {1}{3} ), 2)
Answer» B. ( ( frac {2}{3} ), 1)
Discussion
5.

What will be the value of a and b, if (-5, a), (-3, -3), (-b, 0) and (-3, 3) are the vertices of the parallelogram?

A. a = 0, b = -1
B. a = -1, b = 1
C. a = 1, b = 1
D. a = 0, b = 1
Answer» E.
Discussion
6.

What will be the coordinates of the fourth vertex S, if P(-1, -1), Q(2, 0), R(2, 3) are the three vertices of a parallelogram?

A. (-5, -12)
B. (5, -12)
C. (5, 12)
D. (-5, 12)
Answer» D. (-5, 12)
Discussion
7.

What will be the length of the median through the vertex A, if the coordinates of the vertices of ABC are A(2, 5), B(5, 0), C(-2, 5)?

A. ( sqrt { frac {113}{3}} ) units
B. ( sqrt { frac {13}{2}} ) units
C. ( sqrt { frac {113}{2}} ) units
D. ( sqrt { frac {13}{2}} ) units
Answer» C. ( sqrt { frac {113}{2}} ) units
Discussion
8.

What will be the coordinates of B, if the point C (( frac {29}{7}, frac {46}{7} ) ), divides the line segment joining A (5, 8) and B (a, b) in the ratio 2:5?

A. a = 2, b = 3
B. a = -2, b = 3
C. a = 2, b = -3
D. a = -2, b = -3
Answer» B. a = -2, b = 3
Discussion
9.

In what ratio is the line segment joining the points A(2, 4) and B(6, 5) divided by the y-axis?

A. 2:1 (internally)
B. 2:1 (externally)
C. 3:1 (internally)
D. 3:1 (externally)
Answer» E.
Discussion
10.

In what ratio is the line segment joining the points A(-5, 2) and B(3, 9) divided by the x-axis?

A. 2:5 (internally)
B. 2:5 (externally)
C. 2:9 (externally)
D. 2:9 (internally)
Answer» D. 2:9 (internally)
Discussion
11.

What will be ratio in which the line 3x + y 11 = 0 divides the line segment joining the points (0, -1) and (-3, -4)?

A. 1:2 (internally)
B. 1:2 (externally)
C. 2:1 (externally)
D. 2:1 (internally)
Answer» C. 2:1 (externally)
Discussion
12.

What will be the value of y, if the ratio in which the point ( ( frac {3}{4} ), y) divides the line segment joining the points A(-1, 4) and B(6, 5)is 1:3?

A. y = ( frac {9}{2} )
B. y = ( frac {5}{2} )
C. y = ( frac {9}{4} )
D. y = ( frac {5}{2} )
Answer» B. y = ( frac {5}{2} )
Discussion
13.

In what ratio does the point ( ( frac {-19}{3}, frac {7}{3} )) divide the line segment joining A(3, 7) and B(-11, 0)?

A. 1:2 (externally)
B. 1:2 (internally)
C. 2:1 (externally)
D. 2:1 (internally)
Answer» E.
Discussion
14.

What will be the coordinates of the midpoint of the line segment joining the points (-5, 10) and(15, 2)?

A. (-5, -6)
B. (-5, 6)
C. (5, 6)
D. (5, -6)
Answer» D. (5, -6)
Discussion
15.

What will be the coordinates of the point which divides the line segment joining the points A(-2, 2) and B(-1, 5) in the ratio 2:5?

A. ( ( frac {-4}{3}, frac {-20}{9} ))
B. ( ( frac {-4}{3}, frac {20}{9} ))
C. ( ( frac {4}{3}, frac {20}{9} ))
D. ( ( frac {4}{3}, frac {-20}{9} ))
Answer» C. ( ( frac {4}{3}, frac {20}{9} ))
Discussion