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A variable circle passes through the poi...

A variable circle passes through the point `A(a ,b)` and touches the x-axis. Show that the locus of the other end of the diameter through `A` is `(x-a)^2=4b ydot`

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FIITJEE-CIRCLE-Assignment Problems (Subjective ) Level -I
  1. The abscissae of the two points A and B are the roots of the equation ...

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  2. Two rods of lengths aa n db slide along the x- and y-a xi s , respecti...

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  3. A variable circle passes through the point A(a ,b) and touches the x-a...

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  4. Suppose f(x,y)=0 is the equation of a circle such that f(x,1)=0 has eq...

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  5. if 4alpha^2-5beta^2+6alpha+1=0 , Prove that alphax+betay+1=0 touches ...

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  6. Let A and B be points on the x-axis which are intercepts of circle x...

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  7. Tangents are drawn from external poinl P(6,8) to the circle x^2+y^2 =...

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  8. A circle of constant radius r passes through the origin O and cuts t...

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  9. Find the equation of circle touching the line 2x + 3y + 1=0 at the poi...

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  10. The equation of the circle which touches the circle x^2+y^2-6x+6y+17 =...

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  11. If (mi , 1/mi), i= 1, 2, 3, 4 are four distinct points on a circle, sh...

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  12. The centre of a circle (1, 1) and its radius is 5 units. If the centre...

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  13. If the tangents are drawn to the circle x^2+y^2=12 at the point where ...

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  14. The number of integral values of lambda for which x^2+y^2+(1+lambda)x+...

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  15. If two circles x^2+y^2+2gx+2fy=0 and x^2+y^2+2g'x+2f'y=0 touch each o...

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  16. Find the values of alpha for which the point (alpha-1,alpha+1) lies in...

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