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Show that the point (x ,y) given by x=(2...

Show that the point `(x ,y)` given by `x=(2a t)/(1+t^2)a n dy=((1-t^2)/(1+t^2))` lies on a circle for all real values of `t` such that `-1lt=tlt=1,` where a is any given real number.

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RD SHARMA ENGLISH-THE CIRCLE-All Questions
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  3. Show that the point (x ,y) given by x=(2a t)/(1+t^2)a n dy=((1-t^2)/(1...

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  14. Find the equation of the circle whose radius is 5 and which touches th...

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  15. The circle (x-a)^2+(y-a)^2=a^2 is rolled on the y-axis in the positive...

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  16. Find the equation of the image of the circle x^2+y^2+8x-16y+64=0 in th...

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  19. Find the equation of a circle which touches y- axis at a distance of 4...

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