Explore topic-wise MCQs in Mathematics.

This section includes 9 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

If P (2, 3, 9), Q (2, 5, 5) and R (8, 5, 3) are vertices of a triangle then find the length of median through Q.

A. \(\sqrt{24}\)
B. \(\sqrt{38}\)
C. \(\sqrt{11}\)
D. \(\sqrt{53}\)
Answer» D. \(\sqrt{53}\)
Discussion
2.

If P (2, 3, 9), Q (2, 5, 5) and R (8, 5, 3) are vertices of a triangle then find the length of median through P.

A. \(\sqrt{24}\)
B. \(\sqrt{38}\)
C. \(\sqrt{11}\)
D. \(\sqrt{53}\)
Answer» C. \(\sqrt{11}\)
Discussion
3.

Find the points which trisects the line joining (4, 9, 8) and (13, 27, -4).

A. (7, 4, 15)
B. (7, 15, 4)
C. (4, 15, 7)
D. (4, 7, 15)
Answer» C. (4, 15, 7)
Discussion
4.

The ratio in which line joining (1, 2, 3) and (4, 5, 6) divide X-Y plane is ________

A. 2
B. -2
C. 1/2
D. -1/2
Answer» E.
Discussion
5.

If coordinates of vertices of a triangle are (7, 6, 4), (5, 4, 6), (9, 5, 8), find the coordinates of centroid of the triangle.

A. (7, 5, 3)
B. (7, 3, 5)
C. (5, 3, 7)
D. (3, 5, 7)
Answer» B. (7, 3, 5)
Discussion
6.

The coordinates of a point dividing the line segment joining (1, 2, 3) and (4, 5, 6) externally in the ratio 2:1 is ____________________

A. (4, 5, 6)
B. (6, 8, 9)
C. (7, 8, 9)
D. (8, 6, 4)
Answer» D. (8, 6, 4)
Discussion
7.

In which ratio (3, 4, 5) divides the line segment joining (1, 2, 3) and (4, 5, 6) internally?

A. 1:2
B. 2:1
C. 3:4
D. 4:3
Answer» C. 3:4
Discussion
8.

The coordinates of a point dividing the line segment joining (1, 2, 3) and (4, 5, 6) internally in the ratio 2:1 is ____________________

A. (3, 4, 5)
B. (5, 4, 3)
C. (5, 3, 4)
D. (4, 5, 3)
Answer» B. (5, 4, 3)
Discussion
9.

Find midpoint of (1, 4, 6) and (5, 8, 10).

A. (6, 12, 8)
B. (3, 6, 8)
C. (1, 9, 12)
D. (4, 9, 12)
Answer» C. (1, 9, 12)
Discussion