MCQOPTIONS
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MCQOPTIONS
This section includes 78 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 51. |
The value of k when the distance between the points (3, k) and (4, 1) is \[\sqrt{10}\] is |
| A. | 3 or 4 |
| B. | - 4 or - 2 |
| C. | - 4 or 2 |
| D. | 4 or - 2 |
| Answer» E. | |
| 52. |
The points on x-axis which are at a distance of \[\sqrt{13}\] units from (- 2, 3) is____. |
| A. | (0, 0), (- 2, - 3) |
| B. | (0, 0), (- 4, 0) |
| C. | (0, 0), (2, 3) |
| D. | None of these |
| Answer» C. (0, 0), (2, 3) | |
| 53. |
The point on the line \[3x-4y=25\], which is nearest to the origin is given by: |
| A. | (3, - 4) |
| B. | (- 3, - 4) |
| C. | (3, 4) |
| D. | (5, - 6) |
| Answer» B. (- 3, - 4) | |
| 54. |
Find the fourth vertex of the parallelogram if three of its vertices are given as A (10, - 2), B (8, 6) and C (6, 10). |
| A. | (0, 1) |
| B. | (- 2, 5) |
| C. | (4, 18) |
| D. | (8, 2) |
| Answer» E. | |
| 55. |
If P and Q are the points on the line joining A (-2, 5), B (3, 1) such that AP = PQ = QB. then the mid-point of PQ is: |
| A. | \[\left( \frac{1}{2},3 \right)\] |
| B. | \[\left( -\frac{1}{2},4 \right)\] |
| C. | \[(2,3)\] |
| D. | \[(-1,3)\] |
| Answer» B. \[\left( -\frac{1}{2},4 \right)\] | |
| 56. |
Area of quadrilateral formed by the vertices (- 1, 6), (-3, -9), (5, -8) and (3, 9) is ____ sq. |
| A. | 96 |
| B. | 18 |
| C. | 50 |
| D. | 25 |
| Answer» B. 18 | |
| 57. |
If A (5, 3), B (11, - 5) and P (12, y) are the vertices of a right angled triangle, right angled at P, then y is _______. |
| A. | 4 |
| B. | ? 2 |
| C. | ? 4 |
| D. | 3 |
| Answer» D. 3 | |
| 58. |
If perpendicular distance of a point P from the y-axis be 4 units along the positive direction of the x-axis then the point P has |
| A. | x-co-ordinates\[=-\,4\] |
| B. | y-co-ordinate\[=-\,4\] |
| C. | y-co-ordinate\[=-\,4\] |
| D. | x-co-ordinate\[=\,4\] |
| Answer» E. | |
| 59. |
The co-ordinates of a point are\[\left( \mathbf{x},\mathbf{y} \right)\]. If the point lies in the 4th quadrant then: |
| A. | \[x>0,y>0\] |
| B. | \[x<0,y>0\] |
| C. | \[x<0,y<0\] |
| D. | \[x>0,y<0\] |
| Answer» E. | |
| 60. |
Points |
| A. | Lie in the second quadrant |
| B. | Lie in the fourth quadrant |
| C. | Lie in the third quadrant |
| D. | Do not lie in the same quadrant |
| Answer» E. | |
| 61. |
If A is a point on the y-axis whose ordinate is 5 and B is the point (-3, 1), then the length of AB is |
| A. | 8 units |
| B. | 5 units |
| C. | 3 units |
| D. | None of these |
| Answer» C. 3 units | |
| 62. |
Identify the nearest point from the origin. |
| A. | (2,-3) |
| B. | (5, 0) |
| C. | (2,-1) |
| D. | (1, 3) |
| Answer» D. (1, 3) | |
| 63. |
Direction: Observe the given coordinate plane and answer the following questions. What are the coordinates of the point\[Q\]? |
| A. | \[(-2,\,\,2)\] |
| B. | \[(2,\,\,-2)\] |
| C. | \[(3,\,\,3)\] |
| D. | \[(-3,\,\,-1)\] |
| Answer» C. \[(3,\,\,3)\] | |
| 64. |
Vertices of a triangle ABC are A (2, 2), B (-4, -4) and C (5, - 8). Find the length of the median through C. |
| A. | \[\sqrt{65}\] |
| B. | \[\sqrt{117}\] |
| C. | \[\sqrt{85}\] |
| D. | \[\sqrt{113}\] |
| Answer» D. \[\sqrt{113}\] | |
| 65. |
Find the distance between the points \[\left( \sqrt{3}+1,\sqrt{2}-1 \right)\] and \[\left( \sqrt{3}-1,\sqrt{2}+1 \right)\]. |
| A. | \[\sqrt{3}\] |
| B. | \[2\sqrt{3}\] |
| C. | \[\sqrt{2}\] |
| D. | \[2\sqrt{2}\] |
| Answer» E. | |
| 66. |
The extremities of the diagonal of a parallelogram are the points (3, - 4) and (- 6, 5). Third vertex is the point (- 2, 1). Find its fourth vertex. |
| A. | (1, 1) |
| B. | (1, 0) |
| C. | (0, 1) |
| D. | (- 1, 0) |
| Answer» E. | |
| 67. |
The centre of the circle passing through the points (5, 7), (6, 6) and (2, - 2) is |
| A. | (2, - 3) |
| B. | (2, - 1) |
| C. | (2, 3) |
| D. | none of these |
| Answer» D. none of these | |
| 68. |
The coordinates of the third vertex of an equilateral triangle whose two vertices are at (3, 4) (- 2, 3) are______. |
| A. | \[(1,7)\] |
| B. | \[(5,1)\] |
| C. | \[\left( \frac{1+\sqrt{3}}{2},\frac{7-5\sqrt{3}}{2} \right)\] or \[\left( \frac{1-\sqrt{3}}{2},\frac{7+5\sqrt{3}}{2} \right)\] |
| D. | \[(-5,5)\] |
| Answer» D. \[(-5,5)\] | |
| 69. |
Find the centroid of the triangle whose vertices are (- 3, 2), (1, 5) and (11, - 19). |
| A. | (3, 4) |
| B. | (3, - 4) |
| C. | (- 3, - 4) |
| D. | (- 3. 4) |
| Answer» C. (- 3, - 4) | |
| 70. |
What are the coordinates of the centroid of the triangle whose vertices are (6, 9), (5, 7) and (4, 10)? |
| A. | \[(3,9)\] |
| B. | \[(4,9)\] |
| C. | \[(6,8)\] |
| D. | \[\left( 5,8\frac{2}{3} \right)\] |
| Answer» E. | |
| 71. |
In the given figure, what is the length of AB? |
| A. | 13 units |
| B. | 9 units |
| C. | 12 units |
| D. | 18 units |
| Answer» B. 9 units | |
| 72. |
A plane is divided into four equal parts by the coordinate axes. What is each part called? |
| A. | Quadrant |
| B. | Segment |
| C. | Sector |
| D. | Half-plane |
| Answer» B. Segment | |
| 73. |
In the adjoining Diagram, PQ = ? |
| A. | 4 cm |
| B. | 2.5 cm |
| C. | 2 cm |
| D. | 5 cm |
| Answer» C. 2 cm | |
| 74. |
The ratio in which the line \[2x+3y-9=0\] the points (2, 3) and (4, 7) is _________ |
| A. | 0.12569444444444 |
| B. | \[-\]5 : 4 |
| C. | \[-\]1 : 5 |
| D. | 0.0868055555555556 |
| E. | None of these |
| Answer» D. 0.0868055555555556 | |
| 75. |
The length of the side of a at the of the angle of Pythagorean triangle of 8 cm, 15 cm 17 cm the hypotenuse is ________ |
| A. | \[5\frac{5}{23}cm\] |
| B. | \[6\frac{4}{23}cm\] |
| C. | \[7\frac{3}{23}cm\] |
| D. | \[4\frac{2}{23}cm\] |
| E. | None of these |
| Answer» B. \[6\frac{4}{23}cm\] | |
| 76. |
Which among the following can be the vertices of an equilateral triangle? |
| A. | (2, 3), (5, 4), (7, 8) |
| B. | (3, - 6), (5,-9), (6, - 12) |
| C. | (3,-3), (-3, 3), \[(-3\sqrt{3},-3\sqrt{3)}\] |
| D. | All the above |
| E. | None of these |
| Answer» D. All the above | |
| 77. |
The distance between the points\[(\cos \theta ,\sin \theta ,)\] and \[(\cos \theta ,-\sin \theta ,)\] is _______ |
| A. | \[\sqrt{3}\] |
| B. | \[\sqrt{2}\] |
| C. | 2 |
| D. | 1 |
| E. | None of these |
| Answer» C. 2 | |
| 78. |
The points (6, 1), (8, 2), (9, 4) and (7, 3) are the vertices of a |
| A. | trapezium |
| B. | rectangle |
| C. | square |
| D. | rhombus |
| E. | None of these |
| Answer» E. None of these | |