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Question 1 of 30
1. Question
The ratio in which (4,5) divides the line segment joining the points (2,3) and (7,8) is
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Question 2 of 30
2. Question
The values of x and y, if the distance of the point (x,y) from (-3,0) as well as from (3,0) is 4 are
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Question 3 of 30
3. Question
The distance between the points (3,4) and (8,-6) is
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Question 4 of 30
4. Question
The ratio in which the x-axis divides the segment joining A(3,6) and B(12,-3) is
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Question 5 of 30
5. Question
The horizontal and vertical lines drawn to determine the position of a point in a Cartesian plane are called
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Question 6 of 30
6. Question
The mid point of the line segment joining A(2a,4) and B(-2,3b) is M (1,2a + 1). The values of a and b are
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Question 7 of 30
7. Question
The points (1,1), (-2, 7) and (3, -3) are
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Question 8 of 30
8. Question
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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Question 9 of 30
9. Question
The ordinate of a point is twice its abscissa. If its distance from the point (4,3) is \sqrt{10}, then the coordinates of the point are
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Question 10 of 30
10. Question
The mid-point of the line segment joining the points A (-2, 8) and B (-6, -4) is
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Question 11 of 30
11. Question
The distance of the point P (2, 3) from the x-axis is
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Question 12 of 30
12. Question
The coordinates of the centre of a circle passing through (1, 2), (3, – 4) and (5, – 6) is:
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Question 13 of 30
13. Question
The distance between the point P(1, 4) and Q(4, 0) is
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Question 14 of 30
14. Question
The points (3, 2), (0, 5), (-3, 2) and (0, -1) are the vertices of a quadrilateral. Which quadrilateral is it?
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Question 15 of 30
15. Question
The distance of the point P(6,-6) from the origin is equal to
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Question 16 of 30
16. Question
Origin divides the join of points (1,1) and (2,2) externally in the ratio
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Question 17 of 30
17. Question
The distance between the points (– 1, – 5) and (– 6, 7) is
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Question 18 of 30
18. Question
If A and B are the points (-6, 7) and (-1, -5) respectively, then the distance 2AB is equal to
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Question 19 of 30
19. Question
The perimeter of a triangle with vertices (0, 4) (0, 0) and (3, 0) is:
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Question 20 of 30
20. Question
If (3,0), (2,a), and (b,6) are the vertices of ABC whose centroid is (2,5), then the values of a and b are
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Question 21 of 30
21. Question
If (\(\frac { a }{ 3 }\), 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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Question 22 of 30
22. Question
If (a, 0) , (0, b) and (x, y) are collinear, then
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Question 23 of 30
23. Question
The area of the triangle formed by joining the mid-points of the sides of the triangle, whose vertices are (0, -1), (2, 1) and (0, 3) is
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Question 24 of 30
24. Question
The distance between the points (a, a) and (−\(\sqrt{3a}\),\(\sqrt{3a}\)) is
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Question 25 of 30
25. Question
The distance of the point (– 3, 4) from the origin is
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Question 26 of 30
26. Question
The area of the triangle whose vertices are A(1, 2), B(-2, 3) and C(-3, -4) is
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Question 27 of 30
27. Question
27. The distance of the point P(2, 3) from the x-axis is
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Question 28 of 30
28. Question
28. The distance between the point P(1, 4) and Q(4, 0) is
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Question 29 of 30
29. Question
29. The points (-5, 1), (1, p) and (4, -2) are collinear if the value of p is
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Question 30 of 30
30. Question
30. The area of the triangle ABC with the vertices A(-5, 7), B(-4, -5) and C(4, 5) is
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