#### Coordinate Geometry Model Question Paper

10th Standard EM

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Maths

Time : 01:30:00 Hrs
Total Marks : 50
5 x 1 = 5
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. The slope of the line joining (12, 3) , (4, a) is $\frac 18$The value of ‘a’ is

(a)

1

(b)

4

(c)

-5

(d)

2

3. If A is a point on the Y axis whose ordinate is 8 and B is a point on the X axis whose abscissae is 5 then the equation of the line AB is

(a)

8x + 5y = 40

(b)

8x - 5y = 40

(c)

x = 8

(d)

y = 5

4. 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

5. (2, 1) is the point of intersection of two lines.

(a)

x - y - 3 = 0; 3 x - y - 7 = 0

(b)

x + y = 3; 3x + y =7

(c)

3x + y =3; x + y = 7

(d)

x + 3y - 3 = 0; x - y - 7 = 0

6. 7 x 2 = 14
7. Find the area of the triangle whose vertices are (-3,5) , (5,6) and (5,-2)

8. If the area of the triangle formed by the vertices A(-1,2) , B(k,-2) and C(7,4) (taken in order) is 22 sq. units, find the value of k.

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

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

11. Find the equation of a line which passes through (5, 7) and makes intercepts on the axes equal in magnitude but opposite in sign.

12. A line makes positive intercepts on coordinate axes whose sum is 7 and it passes through (-3,8). Find its equation

13. Find the equation of a straight line whose
Inclination is 450 and y intercept is 11

14. 3 x 5 = 15
15. The line p passes through the points (3, - 2), (12, 4) and the line q passes through the points (6, -2) and (12, 2). Is parallel to q ?

16. Find the slope of the straight line 6x + 8y + 7 = 0.

17. Find the equation of a straight line perpendicular to the line $y=\frac { 4 }{ 3 } x-7$ and passing through the point (7,  –1).

18. 2 x 8 = 16
19. Find the value of ‘a’ for which the given points are collinear.
(2, 3), (4, a) and (6, –3)

20. The area of a triangle is 5 sq.units. Two of its vertices are (2,1) and (3, –2). The third vertex is (x, y) where y = x + 3. Find the coordinates of the third vertex.