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If the point (x,y) be equidistant from t...

If the point (x,y) be equidistant from the points (a+b,b-a) and (a-b,a+b) , prove that bx =ay .

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CHHAYA PUBLICATION-REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY -EXERCISE 1 (Very Short Type Questions )
  1. The coordinates of the points A and B are (2,4) and (2,6) respectively...

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  2. The centre of a circle is at (5,3) and its radius is 5 . Find the leng...

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  3. If the point (x,y) be equidistant from the points (a+b,b-a) and (a-b,a...

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  4. The base of an isosceles triangle is the line - segment joining the po...

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  5. Find the ratio in which the point (1,2) divides the line -segment join...

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  6. Find the ratio in which the point (-5,-20) divides the line -segment j...

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  7. In what ratio the line - segment joining the points (3,4) and (2,-3) i...

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  8. P is a point on the line - segment overline(AB) such that overline(AP...

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  9. The line -segment overline(CD) is produced to Q such that 2overline(CQ...

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  10. Find the coordinates of the point of trisection of the line - segment ...

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  11. Show that the line -segment joining the points (8,3),(-2,7) and the li...

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  12. Find (x,y) if (3,2) , (6,3) , (x,y) and (6,5) are the vertices of a pa...

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  13. If (x(1),y(1)),(x(2),y(2)),(x(3),y(3))and(x(4),y(4)) be the consecutiv...

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  14. Find the coordinates of the point of intersection of the medians of th...

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  15. The coordinates of the vertices of a triangle are (4,-3) , (-5,2) and...

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  16. The centroid of a triangle is (-1,-2) and coordinates of its two verti...

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  17. The coordinates of the vertices A ,B and C of the triangle ABC are (-...

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  18. For what value of k the points (1,-1) , (2,1) and (k,5) shall be on th...

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  19. If the points (a,0),(0,b) and (1,1) are collinear , then show that (1...

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  20. If the points (1,2) and (2,4) and (t,6) be collinear , find the value ...

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