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Find the locus of mid points of chords o...

Find the locus of mid points of chords of the cirlce. `x^(2)+y^(2)=a^(2)` which subtend angle `90^(@)` at the centre of the circle.

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The correct Answer is:
`2[(x+g)^(2)+(y+f)^(2)]=g^(2)+f^(2)-c`
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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)
  1. If 4a^(2)-5b^(2)+6a+1=0 find the equation of the circle for which the...

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  2. Find the point of the circle x^(2)+y^(2)-6x+4y=0 which is (i) nearest ...

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  3. Find the locus of mid points of chords of the cirlce. x^(2)+y^(2)=a^(2...

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  4. Vertices A(1,1) , B(4,-2) and (5,5) of a triangle are given , find the...

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  5. Prove that the locus of middle points of chords of constant length 2d ...

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  6. Find the integer values of m for which x-coordinate of the point of in...

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  7. A chord AB of the circle x^(2)+y^(2)=a^(2) subtends a right angle at i...

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  8. The corodinates of the three vertices of a triangle are (a, a tan alph...

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  9. The triangle PQR is inscribed in the circle x^(2)+y^(2)=25. If Q and ...

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  10. Let L(1) be a striaght line passing through the origin and L(2) be the...

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  11. A rectangle PQRS has its side PQ paralle to the line y=mx and vertices...

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  12. If two distinct chords, drawn from the point (p,q) on the circle x^(2)...

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  13. A variable line L passing through the point B(2,5) intesects the lines...

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  14. For all values of a and, b show that the circle (x-2)(x-2+a)+(y+3) (y+...

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  15. A circle C(1) of diameter 6 units, is in the first quadrant and it tou...

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  16. Find he point on the straight line y=2x+11 which is nearest to the cir...

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  17. On the parabola y^(2)=4ax, P is the point with parameter t,Q is the op...

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  18. Through the vertex A of a parabola the chords AP and AQ are drawn at ...

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  19. Show that the sum of the ordinate of end of any chord of a system of p...

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  20. An equilateral triangle is inscribed within the parabola y^(2)=4ax wit...

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