Coordinate Geometry Two Marks Questions

10th Standard EM

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Maths

Time : 00:45:00 Hrs
Total Marks : 30
    15 x 2 = 30
  1. Show that the points P(-1.5,3), Q(6,-2) , R(-3,4) are collinear.

  2. 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.

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

  4. The given diagram shows a plan for constructing a new parking lot at a campus. It is estimated that such construction would cost Rs. 1300 per square feet. What will be the total cost for making the parking lot?

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

  6. The graph relates temperatures y (in Fahrenheit degree) to temperatures x (in Celsius degree) Find the slope and y intercept

  7. Find the equation of a line passing through the point A(1,4) and perpendicular to the line joining points (2, 5) and (4, 7).

  8. Two buildings of different heights are located at opposite sides of each other. If a heavy rod is attached joining the terrace of the buildings from (6,10) to (14,12), find the equation of the rod joining the buildings ?

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

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

  11. The graph relates temperatures y (in Fahrenheit degree) to temperatures x (in Celsius degree)
    Write an equation of the line

  12. A circular garden is bounded by East Avenue and Cross Road. Cross Road intersects North Street at D and East Avenue at E. AD is tangential to the circular garden at A(3, 10). Using the figure.

    Where does the Cross Road intersect the
    (i) East Avenue ?
    (ii) North Street ?

  13. Find a relation between x and y such that the point (x,y) is equidistant from the points (7, 1) and (3, 5).

  14. Show that the points (1, 7), (4, 2), (-1,-1) and (-4,4) are the vertices of a square.

  15. If A (-5, 7), B (-4, -5), C (-1, -6) and D (4, 5) are the vertices of a quadrilateral, find the area of the quadrilateral ABCD.

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