Explore topic-wise MCQs in Mathematics Questions and Answers.

This section includes 7 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics Questions and Answers 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.
2.

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)
3.

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
4.

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
5.

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)
6.

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 = \(\frac {5}{2}\)
7.

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.