- Flash Back from Class IX notes
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- Distance formula
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- Section Formula
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- Area of triangle
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- How to Solve the line segment bisection ,trisection and four-section problem's
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- How to Prove three points are collinear
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- How to solve general Problems of Area in Coordinate geometry

- Coordinate Geometry Problem and Solutions
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- Coordinate Geometry Short questions
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- Coordinate Geometry 3 Marks Questions
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- Coordinate Geometry 5 Marks questions

Given below are the **Class 10 Maths** Important Questions(Short questions) for Coordinate Geometry

b) Calculation problems

c) Multiple choice questions

d) Long answer questions

e) Fill in the blank's

- Find a point on the y – axis which is equidistant from the point A (6, 5) and B (-4, 3).
- Show that the points (-p, p), (-p, -p) and (-
**√**3p,**√**3p) are the vertices of an equilateral triangle. Also find its area. - Check whether the points (4, 5), (7, 6) and (6, 3) are collinear
- Find the value of q for which the points (7, -2), (5, 1), and (3, q) are collinear.
- Show that four points (0, -1), (6, 7), (-2, 3) and (8, 3) are the vertices of a rectangle. Also find its area.
- If two vertices of an equilateral triangle be (0,0), (3,
**√**3), find the third vertex. - 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.
- Show that the points (-4, -1), (-2, -4), (4, 0) and (2, 3) are the vertices points f a rectangle.
- Show that the points A (1, -2), B (3, 6), C (5, 10) and D (3, 2) are the vertices of a parallelogram.
- Prove that the points A (1, 7), B (4, 2), C (-1, -1) and D (-4, 4) are the vertices of a square.
- Prove that the points (3, 0), (6, 4) and (-1, 3) are vertices of a right angled isosceles triangle.
- Find the circumcenter of the triangle whose vertices are (-2, -3), (-1, 0), (12, -6)
- If two opposite vertices of a square are (5, 4) and (1, -6), find the co- ordinates of its remaining two vertices.
- Show that the points A (5, 6), B (1, 5), C (2, 1) and D (6, 2) are the vertices of a square.
- 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 **√**3p^{2} 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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- Class Companion - Class 10 Mathematics