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Let S-=x^(2)+y^(2)+2gx+2fy+c=0 be a give...

Let `S-=x^(2)+y^(2)+2gx+2fy+c=0` be a given circle. Find the of the foot of perpendicular drawn from the origin upon any chord of S, which subtends a right angle at the origin.

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The correct Answer is:
`2(x^(2)+y^(2))+2gx+2fy+c=0`
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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)
  1. Find the equation of the circle passing through the point (2,0) and to...

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  2. Tangents PQ and PR are drawn from the point (alpha, beta) to the circl...

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  3. Let S-=x^(2)+y^(2)+2gx+2fy+c=0 be a given circle. Find the of the foo...

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  4. The line 2x+3y=12 meets the x-axis at A and the y-axis at B. the line...

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  5. Find the equation of the line passing through the point (2,3) and maki...

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  6. Let ABC be a triangle with AB=AC. If D is the mid point of BC,E , foot...

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  7. Lines L(1)= ax+by+c=0 and L(2) -= lx+ mu+n=0 intersect at the point P ...

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  8. Detemine all values of alpha for which the point (alpha, alpha^(2)) li...

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  9. A line through A(-5-4) meets of lines x+3y+2=0, 2x+y+4 and x-y-5=0 at ...

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  10. Find the radius of the smallest circle which touches the straight lin...

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  11. If a circle passes through the points of intersection of the coordinat...

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  12. Let a circle be given by 2x(x-a)+y(2y-b)=0 ( a ne 0, b ne 0). Find the...

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  13. The equation of two side of a triangle are y=m(1) x and y= m(2)x, wher...

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  14. In a triangle ABC, coordinates of A are (1,2) and the equations of the...

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  15. One diagonal of a square is the portion of the line (x)/(a)+(y)/(b)=1....

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  16. A circle of radius r passes through the origin and intersects the x-ax...

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  17. The coordinates of A,B,C are (2,1) (6,-2) and (8,9) respectively. Find...

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  18. Find the equations to the straight lines passing through the foot of ...

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  19. By parallel transformation of coordinate axes to a properly chosen poi...

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  20. Show thathte coefficients of x^(2),xy and y^(2) "in" ax^(2)+2hxy+by^(2...

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