#### Coordinate Geometry Book Back Questions

10th Standard EM

Reg.No. :
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Maths

Time : 00:45:00 Hrs
Total Marks : 30
6 x 1 = 6
1. The area of triangle formed by the points (−5, 0), (0, −5) and (5, 0) is

(a)

0 sq.units

(b)

25 sq.units

(c)

5 sq.units

(d)

none of these

2. A man walks near a wall, such that the distance between him and the wall is 10 units. Consider the wall to be the Y axis. The path travelled by the man is

(a)

x = 10

(b)

y = 10

(c)

x = 0

(d)

y = 0

3. The straight line given by the equation x = 11 is

(a)

parallel to X axis

(b)

parallel to Y axis

(c)

passing through the origin

(d)

passing through the point (0,11)

4. If slope of the line PQ is $\frac { 1 }{ \sqrt { 3 } }$ then the slope of the perpendicular bisector of PQ is

(a)

$\sqrt { 3 }$

(b)

-$\sqrt { 3 }$

(c)

$\frac { 1 }{ \sqrt { 3 } }$

(d)

0

5. The equation of a line passing through the origin and perpendicular to the line

(a)

7x - 3y + 4 = 0

(b)

3x - 7y + 4 = 0

(c)

3x + 7y = 0

(d)

7x - 3y = 0

6. A straight line has equation 8y = 4x + 21. Which of the following is true

(a)

The slope is 0.5 and the y intercept is 2.6

(b)

The slope is 5 and the y intercept is 1.6

(c)

The slope is 0.5 and the y intercept is 1.6

(d)

The slope is 5 and the y intercept is 2.6

7. 3 x 2 = 6
8. Find the area of the quadrilateral formed by the points (8, 6), (5, 11), (-5, 12) and (-4, 3).

9. Calculate the slope and y intercept of the straight line 8x − 7y + 6=0

10. Find the equation of a straight line passing through (5, - 3) and (7, - 4).

11. 2 x 5 = 10
12. Show that the points (-2, 5), (6, -1) and (2, 2) are collinear

13. Prove analytically that the line segment joining the mid-points of two sides of a triangle is parallel to the third side and is equal to half of its length.

14. 1 x 8 = 8
15. Find the value of ‘a’ for which the given points are collinear.
(2, 3), (4, a) and (6, –3)