Coordinate Geometry Model Question Paper

10th Standard EM

    Reg.No. :
  •  
  •  
  •  
  •  
  •  
  •  

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.

*****************************************

Reviews & Comments about 10th Standard Maths - Coordinate Geometry Model Question Paper

Write your Comment