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A rectangle A B C D is inscribed in a ci...

A rectangle `A B C D` is inscribed in a circle with a diameter lying along the line `3y=x+10.` If `A` and `B` are the points `(-6,7)a n d(4,7)` respectively, find the area of the rectangle and equation of the circle.

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The correct Answer is:
80 sq. units; `x^(2) + y^(2) + 2x - 6y - 31 = 0`
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MODERN PUBLICATION-CONIC SECTIONS -REVISION EXERCISE
  1. Does the point (-2.5, 3.5) lie inside, outside or on the circle x^2 +y...

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  2. Prove that the centres of the three circles x^2 + y^2 - 4x – 6y – 12 =...

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  3. Prove that, through three given points which are not collinear, there ...

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  4. Find the equations of the circles touching y-axis at (0,3) and making ...

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  5. Find the area of the equilateral triangle that can be inscribed in the...

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  6. Find the equation of the circle circumscribing the quadrilateral forme...

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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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  8. If the distances from the origin of the centers of three circles x^2+y...

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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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  13. A double ordinate of the parabola y^(2) = 4ax is of length 8a. Prove...

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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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