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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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`r^2=PM^2+AM^2`
`r^2=4^2+5^2`
`r^2=16+25`
`r=sqrt41`
equation of circle
`(x+!)^2+(y-3)^2=4`
Area of squarre`=AB*AD`
`=AB*2PM`
...
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RD SHARMA-THE CIRCLE-Solved Examples And Exercises
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  2. Find the equation of the circle whose centre is at (3,-1) and which...

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

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  6. Find the equation of a circle of radius 5 whose centre lies on x-axis ...

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  7. If y=2x is a chord of the circle x^2+y^2-10 x=0 , find the equation of...

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  8. Find the equation of the circle is (2,-3) and radius is 8.

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  9. Find the equation of the circle which passes through the point of i...

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  10. Find the equation of the circle having centre at (3,-4) and touching t...

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  11. Find the circle and radius of the circle given by the equation 2x^2...

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  12. If the line 2x-y+1=0 touches the circle at the point (2,5) and the cen...

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  13. Find the equation of the circle concentric with the circle 2x^2+2y^...

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  14. Find the equation of a circle whose centre is (2,-3) and radius 5.

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  15. If the equations of the two diameters of a circle are x-y=5\ and \ 2x+...

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  16. Find the equation of the circle which passes through two points on the...

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  17. A circle of radius 6 units touches the coordinates axes in the first ...

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  18. Show that the equation of the circle which touches the coordinates axe...

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  19. Find the equation of the circle which touches the coordinate axes and ...

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  20. Find the equation of the circle with: centre (-2,3) and radius 4.

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