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### Arithmetic Aptitude :: Co-ordinate Geometry

1.  What is the equation of a circle of radius 6 units centered at (3, 2)?

2.  A. x² + y² + 6x - 4y = 23 B. x² + y² - 6x - 4y = 23 C. x² + y² - 6x + 4y = 23 D. x² + y² + 6x + 4y = 23

3.  If a line passes through point A(0, c) and has gradient 'm' then equation will be

4.  A. cx = y + m B. m = xy + c C. c = xy + m D. y = mx + c

5.  According to Pythagoras theorem, distance between points (-3, 8) and (8, -5) is

6.  A. 15.19 unit B. 16.47 unit C. 17.03 units D. 18.76 unit

7.  If coordinates of A and B are (2, 2) and (9, 11) respectively then length of line segment AB is

8.  A. 10.7 B. 11.4 C. 12.3 D. 13.6

9.  If points of straight line are M(7, 1) and N(7, 2) then line MN is

10.  A. vertical line with equation with x = 7 B. vertical line with equation with x = 5 C. vertical line with equation with x = 3 D. vertical line with equation with x = 1

11.  Straight line equation y = 5x - 2 has gradient of

12.  A. 1 B. 3 C. 5 D. 7

13.  If coordinates of A and B are (5, 6) and (9, 10) respectively then length of line segment AB is

14.  A. 5.66 B. 6.22 C. 7.88 D. 9.11

15.  In gradient-intercept form of equation y = mx + c, 'm' denotes

16.  A. intercept on x-axis B. intercept on y-axis C. gradient of straight line D. gradient of independent variable

17.  Straight line equation y = x⁄3 + 1⁄4 cuts y-axis at point

18.  A. (0, x⁄3) B. (0, 1⁄3) C. (0, x⁄4) D. (0, 1⁄4)

19.  In gradient-intercept form of equation y = mx + c, point where line cuts y-axis is

20.  A. (0, c) B. (1, c) C. (2, c) D. (3, c)