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Class 10 Maths Important Questions(Short questions) for Coordinate Geometry



Given below are the Class 10 Maths Important Questions(Short questions) for Coordinate Geometry
a) Concepts questions
b) Calculation problems
c) Multiple choice questions
d) Long answer questions
e) Fill in the blank's
  1. Find a point on the y – axis which is equidistant from the point A (6, 5) and B (-4, 3).
  2. Show that the points (-p, p), (-p, -p) and (-3p, 3p) are the vertices of an equilateral triangle. Also find its area.
  3. Check whether the points (4, 5), (7, 6) and (6, 3) are collinear
  4. Find the value of q for which the points (7, -2), (5, 1), and (3, q) are collinear.
  5. Show that four points (0, -1), (6, 7), (-2, 3) and (8, 3) are the vertices of a rectangle. Also find its area.
  6. If two vertices of an equilateral triangle be (0,0), (3, 3), find the third vertex.
  7. If P (2, -1), Q (3, 4), R (-2, 3) and S (-3, -2) be four points is a plane, show that PQRS is a rhombus but not a square. Find the area of the rhombus.
  8. Show that the points (-4, -1), (-2, -4), (4, 0) and (2, 3) are the vertices points f a rectangle.
  9. Show that the points A (1, -2), B (3, 6), C (5, 10) and D (3, 2) are the vertices of a parallelogram.
  10. Prove that the points A (1, 7), B (4, 2), C (-1, -1) and D (-4, 4) are the vertices of a square.
  11. Prove that the points (3, 0), (6, 4) and (-1, 3) are vertices of a right angled isosceles triangle.
  12. Find the circumcenter of the triangle whose vertices are (-2, -3), (-1, 0), (12, -6)
  13. If two opposite vertices of a square are (5, 4) and (1, -6), find the co- ordinates of its remaining two vertices.
  14. Show that the points A (5, 6), B (1, 5), C (2, 1) and D (6, 2) are the vertices of a square.
  15. Find the value of x such that PQ = QR where the co- ordinates of P, Q and R are (6, -1), (1, 3) and (x, 8) respectively.
Answer
1)   (0,9)
2) Area = 2 3p2 sq. units
4) q=4
5) 40
6) Co- ordinates of third vertex are (0, 2√3 or (3, -3)
7) 54
12) (3,-3)
13) (8, -3) and (-2, 1)


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