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If P (2,2) is equidistant from A (-2, k)...

If P (2,2) is equidistant from A (-2, k) and B (-2k,-3), find k. Also find the length AP.

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The correct Answer is:
5 units
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ZEN PUBLICATION-CO-ORDINATE GEOMETRY-ZEN ADDITIONAL QUESTIONS - SHORT ANSWER [SA] TYPE QUESTIONS
  1. Find the values of y for which the distance between the points P(2, -3...

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  2. Find the equation of the perpendicular bisector of the line segment jo...

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  3. If P (2,2) is equidistant from A (-2, k) and B (-2k,-3), find k. Also ...

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  4. Find a point equidistant from A (-5, 4) and B(-1,6). How many such poi...

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  5. Show that (1, 0), (0, 1), (-3,4) are on a straight line.

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  6. If P (x, y) lies on a circle whose centre is (3,-2) and radius is 3, s...

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  7. The centre of a cicle is (2a, a -7). Find the values ofa if the circle...

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  8. Prove that (2a, 4a), (2a, 6a), and (2a +sqrt(3a), 5a) are the vertices...

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  9. Find the area of a triangle whose vertices are (1,-1),(-4,6) and (-3,-...

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  10. Prove that the area of the triangle whose vertices are (t,t -2), (t + ...

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  11. Find the area of the quadrilateral ABCD whose vertices are A(1, 1), B(...

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  12. Show That (3, -2) is the 3rd verlex of a Delta ABC where A (2. 3), B (...

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  13. Find the area of a parallelogram ABCD if three of its vertices are A(2...

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  14. Find the co - ordinates of points which divides the line segment joini...

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

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  16. Find the coordinates of the point which divides the line joining the p...

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  17. The points A(1,1),B(3,2) and C(5,3) cannot be the vertices of the tria...

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  18. If A(-2, -1) B(a, 0) C(4, b) and D(1 , 2) are the vertices of a paral...

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  19. IfA(-5, 7), B (4, 5), C(-1,-6) and D (4,5) are the vertices of a quadr...

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  20. If the points A (k +1, 2k), B (3k, 2k + 3) and C (5k-1, 5k) are collin...

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