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A square is inscribed in the circle x^2+...

A square is inscribed in the circle `x^2+y^2-2x+4y-93=0` with its sides parallel to the coordinate axes. The coordinates of its vertices are `(-6,-9),(-6,5),(8,-9),(8,5)` `(-6,-9),(-6,-5),(8,-9),(8,5)` `(-6,-9),(-6,5),(8,9),(8,5)` `(-6,-9),(-6,5),(8,-9),(8,-5)`

A

`(-6,-9),(-6,5),(8,-9),(8,5)`

B

`(-6,9),(-6,-5),(8,-9),(8,5)`

C

`(-6,-9),(-6,5),(8,9),(8,5)`

D

`(-6,-9),(-6,5),(8,-9),(8,-5)`

Text Solution

Verified by Experts

The correct Answer is:
1
Equation of circle is `(x-1)^(2)+(y-2)^(2)=98`
Square is inscribed in the given circle such that its sides are parallel to coordinate axes.
So, slope of PR is 1 and that of SQ is `-1`.

Thus vertices of square are
`(1+- 7 sqrt(2)cos 45^(@), -2 +- 7 sqrt(2) sin 45^(@))-=(8,5)` and `(-6,-9)`
and `(1+7sqrt(2) cos 135^(@),-2 +-7 sqrt(2) sin 135^(@))-=(8,-9)` and `(-6,5)`
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CENGAGE-CIRCLE -Exercise (Single)
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  4. If a line passes through the point P(1,-2) and cuts the x^2+y^2-x-y= 0...

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  6. If (alpha,beta) is a point on the circle whose center is on the x-axis...

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  7. The area bounded by the circles x^2+y^2=1,x^2+y^2=4, and the pair of l...

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  8. The number of intergral value of y for which the chord of the circle x...

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  9. The straight line xcostheta+ysintheta=2 will touch the circle x^2+y^2-...

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  10. The range of values of lambda,lambda>0 such that the angle theta betwe...

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  11. The circle which can be drawn to pass through (1, 0) and (3, 0) and to...

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  12. The locus of the midpoints of the chords of contact of x^2+y^2=2 from ...

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  13. If a circle of radius r is touching the lines x^2-4x y+y^2=0 in the fi...

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  14. The locus of the midpoints of the chords of the circle x^2+y^2-a x-b y...

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  15. Any circle through the point of intersection of the lines x+sqrt(3)y=1...

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  16. If the pair of straight lines x ysqrt(3)-x^2=0 is tangent to the circl...

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  17. The condition that the chord xcosalpha+ysinalpha=p=0 of x^2+y^2-a^2=0 ...

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  18. The centers of a set of circles, each of radius 3, lie on the circle x...

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  19. The equation of the locus of the middle point of a chord of the circle...

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  20. The angle between the pair of tangents drawn from a point P to the cir...

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