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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. | |