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1. The coordinates of the centre of a circle passing through (1, 2), (3, - 4) and (5, - 6) is:
A. (11, - 2)
B. (-2, 11)
C. (11, 2)
D. (2, 11)
2. One end of a line of length 10 units is at the point (-3, 2). If the ordinate of the other end be 10, then the abscissa will be
A. 9 or -3
B. -9 or -3
C. 3 or -9
D. 3 or 9
3. The horizontal and vertical lines drawn to determine the position of a point in a Cartesian plane are called
A. Intersecting lines
B. Transversals
C. Perpendicular lines
D. X-axis and Y-axis
4. Let P(x, y) be equidistant from the points A (7, 1) and (3, 5).Find a relation between x and y.
A. y– x = 4
B. y– x = 2
C. x – y = 2
D. x – y = 4
5. If the four points (0,-1), (6,7),(-2,3) and (8,3) are the vertices of a rectangle, then its area is
A. 40√5 sq. units
B. 12 sq. units
C. 10 sq. units
D. 13 sq. units
6. The perimeter of a triangle with vertices (0, 4) (0, 0) and (3, 0) is:
A. 15
B. 12
C. 8
D. 10
8. The perimeter of the triangle formed by the points A(0,0), B(1,0) and C(0,1) is
A. √2 + 1
B. 1 ± √2
C. 2 + √2
D. 3
9. The value of k, if the point P(0,2) is equidistant from A(3,k) and B(k,5) is
A. 0
B. 1
C. -3
D. 3
10. If A and B are the points (-6, 7) and (-1, -5) respectively, then the distance 2AB is equal to
A. 26
B. 169
C. 13
D. 238
11. 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
A. x = 1, y = 7
B. x = 2, y = 7
C. x = 0, y = - √7
D. x = 0, y = ± √7
12. The point (-1,-5) lies in the Quadrant
A. 3rd
B. 1st
C. 2nd
D. 4th
13. The distance between the points (3,4) and (8,-6) is
A. 2√5 units
B. 3√5 units
C. √5 units
D. 5√5 units
14. The point on y-axis that is equidistant from (2,3) and (-4,1) is
A. (0,-1)
B. (0,-2)
C. (1,0)
D. (1,2)
15. The point on x-axis which is equidistant from (5,9) and (-4,6) is
A. (3,0)
B. (1,0)
C. (2,0)
D. (4,1)
16. The distance of the point P(6,-6) from the origin is equal to
A. 3 √4 units
B. 8 units
C. 6 √2 units
D. 3 units
17. The distance between the points P (-6,7) and Q (-1,-5) is
A. 15
B. 12
C. 13
D. 10
18. The condition that the point (x,y) may lie on the line joining (3,4) and (-5,-6) is
A. -5x+4y+1=0
B. -5x-4y+1=0
C. 5x+4y+1=0
D. 5x-4y+1=0
19. The points (3, 2), (0, 5), (-3, 2) and (0, -1) are the vertices of a quadrilateral. Which quadrilateral is it?
A. Rectangle
B. Square
C. Parallelogram
D. Rhombus
20. The graph of the equation x = 3 is:
A. a point
B. straight line parallel to y axis
C. straight line passing through the origin
D. straight line parallel to x axis
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