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Find the equation to the circle which pa...

Find the equation to the circle which passes through the origin and cut off equal chords of length `' a '` from the straight lines `y=xa n dy=-x` .

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The correct Answer is:
`x^(2) + y^(2) pm sqrt(2) `ax =0 `x^(2) + y^(2) pm sqrt(2) ` ay = 0
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MODERN PUBLICATION-CONIC SECTIONS -REVISION EXERCISE
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  7. Lines 5x + 12 y -10=0 and 5x - 12y - 40=0touch a circle C(1) of diamet...

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  9. Determine equation of the circle whose diameter is the chord x + y = 1...

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  10. A rectangle A B C D is inscribed in a circle with a diameter lying ...

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  11. Find the equation to the circle which passes through the origin and...

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  12. Prove that the equation y^2+2Ax+2By+c=0 is represent a parabola and wh...

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  14. The equation of the parabola whose vertex and focus lie on the axis of...

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  15. The equation of the common tangent to the parabolas y^2= 4ax and x^2= ...

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  16. Find the locus of the middle points of all chords of the parabola y^(2...

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  17. If any tangent to the ellipse x^2/a^2+y^2/b^2=1 cuts off intercepts of...

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  18. The vertices of a quadrilateral are situated at foci and the extrimiti...

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  19. Find the equation of the hyperbola whose foci are (8, 3) and (0, 3) an...

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  20. Find the locus of the-mid points of the chords of the circle x^2 + y^2...

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