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Transform the equation y^(2)-4x+4y+8=0 ...

Transform the equation `y^(2)-4x+4y+8=0` to parallel axes through the point (1,-2).

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The correct Answer is:
`y'^(2)=4x`'
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Show that the equation of the chord of the parabola y^(2) = 4ax through the points (x_(1),y_(1)) and (x_(2),y_(2)) on it is (y-y_(1))(y-y_(2)) = y^(2) - 4ax

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CHHAYA PUBLICATION-REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY -EXERCISE 1 (Very Short Type Questions )
  1. The sides of the rectangle ABCD are parallel to the coordinate axis. I...

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  2. Transform the equation x^(2)+xy-3x-y+2=0 to parallel axis through th...

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  3. Transform the equation y^(2)-4x+4y+8=0 to parallel axes through the ...

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  4. What does the equation (a-b)(x^(2)+y^(2))-2abx=0 become when the orig...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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