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A variable circle which always touches t...

A variable circle which always touches the line `x+y-2=0` at (1, 1) cuts the circle `x^2+y^2+4x+5y-6=0` . Prove that all the common chords of intersection pass through a fixed point. Find that points.

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Let S1 be a circle passing through A(0,1) and B(-2,2) and S2 be a circ...

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  2. The coordinates of middle point of the chord 2x-5y+18=0 cut of by the ...

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  3. A variable circle which always touches the line x+y-2=0 at (1, 1) cuts...

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  4. The range of parameter ' a ' for which the variable line y=2x+a lies b...

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  5. Find the equation of the circle which is touched by y=x , has its cent...

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  6. Find the locus of the centers of the circles x^2+y^2-2ax-2b y+2=0 , w...

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  7. A circle touches the y-axis at the point (0, 4) and cuts the x-axis in...

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  8. Three concentrict circles of which the biggest is x^2+y^2=1 , have the...

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  9. Tangents PA and PB are drawn to x^2+y^2=a^2 from the point P(x1, y1)do...

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  10. Let A=(-1,0),B=(3,0) and P Q be any line passing through (4, 1) having...

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  11. If the abscissa and ordinates of two points Pa n dQ are the roots of t...

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  12. The equation of radical axis of two circles is x + y = 1. One of the ...

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  13. Find the parametric form of the equation of the circle x^2+y^2+p x+p y...

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  14. S is a circle having the center at (0,a) and radius b(b < a)dot A vari...

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  15. The point on a circle nearest to the point P(2,1) is at a distance of ...

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  16. S(x ,y)=0 represents a circle. The equation S(x ,2)=0 gives two identi...

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  17. Find the length of intercept, the circle x^2+y^2+10 x-6y+9=0 makes on ...

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  18. Find the equation of the family of circle which touch the pair of stra...

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  19. Find the center of the circle x=-1+2costheta,y=3+2sintheta.

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  20. Column I|Column II (a)Two intersecting circle| p. have a common ...

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