Coordinate Geometry Book Back Questions

10th Standard EM

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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)

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