Practice Questions for Geometry - Coordinate Geometry

1. CRE 1 - Basics | Geometry - Coordinate Geometry

Find the distance between the points A (3, 5) & B (6, 1)

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7 8 9 4 5 6 1 2 3 0 . -

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2. CRE 1 - Basics | Geometry - Coordinate Geometry

Find the equation of the line passing through A (4, -3) and parallel to the y-axis.

(a)
y = - 3
(b)
x = 4
(c)
y = 0
(d)
x = - 3

3. CRE 1 - Basics | Geometry - Coordinate Geometry

Find the equation of the line passing through A (4, -3) and parallel to the x-axis.

(a)
y = -3
(b)
x = 4
(c)
y = 0
(d)
x = -3

4. CRE 1 - Basics | Geometry - Coordinate Geometry

Find the value of ‘k’, if (3x + y - 4) - k(5x - 4y + 10) = 0 is parallel to x axis.

(a)
3/5
(b)
1/4
(c)
-1/4
(d)
None of these

5. CRE 1 - Basics | Geometry - Coordinate Geometry

Find the center of the circle which has A (2, 9) & B (0, 11) as the extremities of its diameter.

(a)
(1, 10)
(b)
(2, 20)
(c)
(1, -1)
(d)
None of these

6. CRE 1 - Basics | Geometry - Coordinate Geometry

Compute the slope of the line passing through the points A (4, 1) & B (6, 2)

(a)
2
(b)
1/2
(c)
-1/2
(d)
None of these

7. CRE 1 - Basics | Geometry - Coordinate Geometry

Find the equation of the line which passes through (2, -2) and has a slope 2.

(a)
2x + y = 2
(b)
y - 2x = 6
(c)
2x - y = 6
(d)
None of these

8. CRE 1 - Basics | Geometry - Coordinate Geometry

Find the value of ‘k’ for which the three points A (-1, 10), B (k, 2) & C (17/5, 26/5) are collinear.

(a)
19/3
(b)
-19/3
(c)
6
(d)
None of these

9. CRE 1 - Basics | Geometry - Coordinate Geometry

Find the slope and the y-intercept of the line y = 3x - 15.

(a)
-3 and -15
(b)
3 and 15
(c)
3 and -15
(d)
None of these

10. CRE 1 - Basics | Geometry - Coordinate Geometry

Find the x-intercept & y-intercept of the line 3x - 2y - 24 = 0.

(a)
8 and -12
(b)
8 and 12
(c)
-8 and -12
(d)
None of these

11. CRE 1 - Basics | Geometry - Coordinate Geometry

Write the intercept form of the line whose general form is 4x + 3y – 24 = 0.

(a)
$\frac{x}{8} + \frac{y}{6} = 1$
(b)
$\frac{x}{6} + \frac{y}{8} = 1$
(c)
$\frac{x}{8} - \frac{y}{6} = 1$
(d)
None of these

12. CRE 1 - Basics | Geometry - Coordinate Geometry

Find the general form equation of the line joining the points A (3, 1) & B (0, -1).

(a)
2x – 3y + 3 = 0
(b)
2x + 3y – 3 = 0
(c)
2x – 3y – 3 = 0
(d)
None of these

13. CRE 1 - Basics | Geometry - Coordinate Geometry

Which of the following best describes the relation between the lines 6x - 9y - 4 = 0 & -4x + 6y - 13 = 0?

(a)
Prallel
(b)
Intersection, not perpendicular
(c)
Perpendicular
(d)
None of these

14. CRE 1 - Basics | Geometry - Coordinate Geometry

Which of the following best describes the relation between the lines 6x + 10y - 19 = 0 & 5x - 3y + 17 = 0?

(a)
Parallel
(b)
Intersectiong, not perpendicular
(c)
Perpendicular
(d)
None of these

15. CRE 1 - Basics | Geometry - Coordinate Geometry

Find the equation of line passing through (2,-3) and parallel to x + 3y + 12 = 0

(a)
3x - y + 7 = 0
(b)
x + 3y + 7 = 0
(c)
x + 3y - 7 = 0
(d)
None of these

16. CRE 1 - Basics | Geometry - Coordinate Geometry

Find the equation of line passing through (2,-3) and perpendicular to x + 2y + 12 = 0.

(a)
2x - y – 7 = 0
(b)
x + 2y – 7 = 0
(c)
2x - y + 7 = 0
(d)
None of these

17. CRE 1 - Basics | Geometry - Coordinate Geometry

Find the perpendicular distance of the point (1, 1) from the line 3x + 4y - 4 = 0.

(a)
4/5
(b)
2/5
(c)
3/5
(d)
None of these

18. CRE 1 - Basics | Geometry - Coordinate Geometry

Find the co-ordinates of the point P which divides the line-segment joining the points A (7, 9) & B (8, 2) in the ratio 3 : 4 internally.

(a)
(7, 6)
(b)
(6, 6)
(c)
(52/7, 42/7)
(d)
None of these

19. CRE 1 - Basics | Geometry - Coordinate Geometry

Find the co-ordinates of the point P which divides the line-segment joining the points A (2, -6) & B (3, 5) in the ratio 2:1 externally.

(a)
(8/3, 16/3)
(b)
(4, 6)
(c)
(4, 16)
(d)
None of these

CRE 1 - Basics | Geometry - Coordinate Geometry

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