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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 xaxis 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 midpoint 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 xaxis 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 midpoint 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 midpoints 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 xaxis 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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