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Class 10 Mathematics: Coordinate Geometry
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Avg score: 10% • Most missed: “The distance of the point (9, -12) from origin will be ___________”

The section contains multiple choice questions and answers on triangle area, geometry distance and section formulas.

Class 10 Mathematics: Coordinate Geometry
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25 Questions

1. In what ratio is the line segment joining the points A(-5, 2) and B(3, 9) divided by the x-axis?
2. What will be the area of triangle PQR formed by joining the midpoints of the sides of the triangle whose vertices are (3, 3), (9, 9) and (4, 6)?
3. The coordinates of the ends of the diameter AB of a circle are A (-4, 7) and B(4, 7). What will be the coordinates of the center of the circle?
4. What will be the point of y-axis which will be equidistant from the points (-1, 0) and (3, 9)?
5. What will be the area of a triangle whose vertices are (3, 1), (0, 4) and (5, 9)?
6. What will be the coordinates of the point which divides the line segment joining the points A(-2, 2) and B(-1, 5) in the ratio 2:5?
7. What will be the area of the quadrilateral ABCD whose vertices are A (8, 6), B (9, 0), C (1, 2) and D (3, 4)?
8. 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?
9. The distance between the points (5, 7) and (8, -5) is ________
10. What will be the coordinates of the midpoint of the line segment joining the points (-5, 10) and(15, 2)?
11. The point on x-axis which is at a distance 12 unit from the point (4, 6) is ___________
12. 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?
13. The distance of the point (9, -12) from origin will be ___________
14. The coordinates of one end of the diameter AB of a circle are A (-2, -3) and the coordinates of diameter are (-2, 0). What will be the coordinates of B?
15. What will be the value of x, if the distance between the points (5, 11) and (2, x) is 10?
16. 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?
17. In what ratio is the line segment joining the points A(2, 4) and B(6, 5) divided by the y-axis?
18. What will be the value of a and b, if (-5, a), (-3, -3), (-b, 0) and (-3, 3) are the vertices of the parallelogram?
19. What will be the centroid of the ∆ABC whose vertices are A(-2, 4), B(0, 0) and C(4, 2)?
20. 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)?
21. What will be the coordinates of the fourth vertex S, if P(-1, -1), Q(2, 0), R(2, 3) are the three vertices of a parallelogram?
22. What will be the value of p, for which the points (-3, p), (-1, 2) and (1, 1) are collinear?
23. If A(0, 3), B(5, 0) and C(-5, 0) are the vertices of ∆ABC, then the triangle is __________
24. What will be the point of x-axis which will be equidistant from the points (9, 8) and (3, 2)?
25. If the point P(a, b) is equidistant from the points (3, 1) and (2, 0) then ____________

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