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Prove that (sqrt 2,sqrt 2),(-sqrt 2,-sqr...

Prove that `(sqrt 2,sqrt 2),(-sqrt 2,-sqrt 2) and (-sqrt 6,sqrt 6)` are the vertices of an equilateral triangle.

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CHETANA PUBLICATION-CO-ORDINATE GEOMETRY-EXERCISE
  1. Find the value of k, if (5,k), (-3,1) and (-7,-2) are collinear.

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  2. Find the value of k, if (2,1), (4,3) and (0,k) are collinear.

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  3. Find the value of k, if the slope of the line passing through (2,5) an...

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  4. P(3,4), Q(7,2) and R(-2,-1) are the vertices of DeltaPQR. Write down t...

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  5. Show that line joining (4,-1) and (6,0) is parallel to line joining (7...

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  6. Show that square ABCD is a parallelogram,if A(-1,2),B(-5,-6),C(3,-2) a...

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  7. Show that P(3,4),Q(7,-2),R(1,1) and S(-3,7) are the vertices of a para...

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  8. Distance of point (-3,4) from the origin is………….a) 7 b) 1 c) 5 d) -...

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  9. Line l is parallel to line m. If slope of line l is 1/2 the slope of l...

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  10. Slope of a line is sqrt 3. Find its inclination.

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  11. Find the distance between (2,3) and (4,1).

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  12. Seg AB is a diameter of a circle with centre P(1,2). If A(-4,2), then ...

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  13. If P-T-Q and P(-3,10), Q(6,-8) and T(-1,6), then find the ratio in whi...

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  14. A(-7,6), B(2,-2) and C(8,5) are co-ordinates of vertices of triangle A...

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  15. Decide (2,10), (10,4) and (3,13) are collinear or not.

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  16. Find k, if PQ||RS and P(2,4), Q(3,6), R(3,1) and S(5,k).

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  17. Prove that (sqrt 2,sqrt 2),(-sqrt 2,-sqrt 2) and (-sqrt 6,sqrt 6) are ...

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  18. Find the co-ordinates of circumcentre and radius of a circumcircle of ...

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  19. Find the possible co-ordinates of the fourth vertex of the parallelogr...

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  20. Find the coordinates of the points which divide the line segment joini...

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