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Show that the distance between the point...

Show that the distance between the points (1,1) and `[(2m^(2))/(1+m^(2)),((1-m)^(2))/(1+m^(2))]` is the same for all values of m .

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CHHAYA PUBLICATION-REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY -EXERCISE 1 (Very Short Type Questions )
  1. What does the equation (a-b)(x^(2)+y^(2))-2abx=0 become when the orig...

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  2. Retaining the directions of axes , the origin is shifted to (h,k) , fi...

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  3. Show that the distance between the points (1,1) and [(2m^(2))/(1+m^(2)...

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  4. The square of the distance between the points (-2,a) and (a,-3) is 85...

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  5. If the point (x,y) is equidistant from the points (2,-1) and (-3,4) , ...

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  6. Find the condition so that the point (a,b) may be equidistant from the...

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  7. Show that the points (2,2) , (-2,-2) and (-2sqrt(3),2sqrt(3)) are the...

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  8. Prove that the points (-1,5) , (3,2) and (-1,-1) are the vertices of a...

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  9. Show that the points (6,6) , (2,3) and (4,7) are the vertices of a rig...

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  10. Prove that the points (7,9) , (3,-7) and (-3,3) form a right angled is...

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  11. The coordinates of the points A and B are (2,4) and (2,6) respectively...

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

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

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

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

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

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

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

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

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

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