Welcome to your Coordinate Geometry MCQs Mock Test of 10th Class Mathematics
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1. The area of a triangle with vertices (a, b + c), (b, c + a) and (c, a + b) is
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2. The distance of the point P(2, 3) from the x-axis is
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3. The point which lies on the perpendicular bisector of the line segment joining the points A(–2, –5) and B(2, 5) is
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4. The distance between the point P(1, 4) and Q(4, 0) is
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5. If the points A(1, 2), O(0, 0) and C(a, b) are collinear, then
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6. The points (-5, 1), (1, p) and (4, -2) are collinear if the value of p is
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7. If the points A(6, 1), B(8, 2), C(9, 4) and D(p, 3) are the vertices of a parallelogram, taken in order, then the value of p is
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8. The area of the triangle ABC with the vertices A(-5, 7), B(-4, -5) and C(4, 5) is
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9. The distance of the point (α, β) from the origin is
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10. The area of the triangle whose vertices are A(1, 2), B(-2, 3) and C(-3, -4) is
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11. The line segment joining the points (3, -1) and (-6, 5) is trisected. The coordinates of point of trisection are
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12. The line 3x + y – 9 = 0 divides the line joining the points (1, 3) and (2, 7) internally in the ratio
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13. If (a/3, 4) is the mid-point of the segment joining the points P(-6, 5) and R(-2, 3), then the value of ‘a’ is
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14. If the distance between the points (x, -1) and (3, 2) is 5, then the value of x is
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15. A line intersects the y-axis and x-axis at the points P and Q, respectively. If (2, -5) is the midpoint of PQ, then the coordinates of P and Q are, respectively
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16. The points (1,1), (-2, 7) and (3, -3) are
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17. The coordinates of the centroid of a triangle whose vertices are (0, 6), (8,12) and (8, 0) is
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18. Two vertices of a triangle are (3, – 5) and (- 7,4). If its centroid is (2, -1), then the third vertex is
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19. The perpendicular bisector of the line segment joining the points A(1, 5) and B(4, 6) cuts the y-axis at
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20. The area of the triangle formed by the points A(-1.5, 3), B(6, -2) and C(-3, 4) is
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21. If the points P(1, 2), B(0, 0) and C(a, b) are collinear, then
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22. The fourth vertex D of a parallelogram ABCD whose three vertices are A(–2, 3), B(6, 7) and C(8, 3) is
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23. If the distance between the points (2, –2) and (–1, x) is 5, one of the values of x is
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24. The mid-point of the line segment joining the points A (–2, 8) and B (– 6, – 4) is
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25. The points A (9, 0), B (9, 6), C (–9, 6) and D (–9, 0) are the vertices of a
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26. The distance of the point P (2, 3) from the x-axis is
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27. The distance between the points A (0, 6) and B (0, –2) is
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28. AOBC is a rectangle whose three vertices are vertices A (0, 3), O (0, 0) and B (5, 0). The length of its diagonal is
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29. If P (a/3, 4) is the mid-point of the line segment joining the points Q (– 6, 5) and R (– 2, 3), then the value of a is
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30. The coordinates of the point which is equidistant from the three vertices of the Δ AOB as shown in the figure is:
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31. If the distance between the points (4, p) and (1, 0) is 5, then the value of p is
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32. The area of a triangle with vertices A (3, 0), B (7, 0) and C (8, 4) is:
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33. The point which divides the line segment joining the points (7, –6) and (3, 4) in ratio 1 : 2 internally lies in the
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34. One of the two points of trisection of the line segment joining the points A (7, – 2) and B (1, – 5) which divides the line in the ratio 1:2 are:
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35. A line intersects the y-axis and x-axis at the points P and Q, respectively. If (2, –5) is the mid - point of PQ, then the coordinates of P and Q are, respectively.
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36. The ratio in which the point P (3/4, 5/12)divides the line segment joining the Points A (1/2, 3/2) and B (2, –5) is:
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37. The points (- 1, – 2), (1, 0), (- 1, 2), (- 3, 0) form a quadrilateral of type:
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38. If the distance between the points A(2, -2) and B(-1, x) is equal to 5, then the value of x is:
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39. The midpoints of a line segment joining two points A(2, 4) and B(-2, -4)
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40. The distance of point A(2, 4) from x-axis is
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41. The distance between the points P(0, 2) and Q(6, 0) is
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42. If O(p/3, 4) is the midpoint of the line segment joining the points P(-6, 5) and Q(-2, 3). The value of p is:
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43. The point which divides the line segment of points P(-1, 7) and (4, -3) in the ratio of 2:3 is:
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44.The ratio in which the line segment joining the points P(-3, 10) and Q(6, – 8) is divided by O(-1, 6) is:
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45. The coordinates of a point P, where PQ is the diameter of a circle whose centre is (2, – 3) and Q is (1, 4) is:
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46. The area of a rhombus if its vertices are (3, 0), (4, 5), (-1, 4) and (-2,-1) taken in order, is:
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47. The distance of the point P(–6, 8) from the origin is
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48. The distance between the points (0, 5) and (–5, 0) is
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49. The perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0) is
