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The tangent to the circle x^2+y^2=5 at (...

The tangent to the circle `x^2+y^2=5` at `(1,-2)` also touches the circle `x^2+y^2-8x+6y+20=0` . Find the coordinats of the corresponding point of contact.

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. A circle passes through the origin and has its center on y=x If it cut...

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  2. Prove that the equation of any tangent to the circle x^2+y^2-2x+4y-4=0...

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  3. The tangent to the circle x^2+y^2=5 at (1,-2) also touches the circle ...

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  4. If S(1)=alpha^(2)+beta^(2)-a^(2), then angle between the tangents from...

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  5. If a >2b >0, then find the positive value of m for which y=m x-bsqrt(1...

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  6. Find the angle between the two tangents from the origin to the circle ...

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  7. Two circles C1 and C2 intersect at two distinct points PandQ in a line...

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  8. Find the equation of the tangent at the endpoints of the diameter of ...

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  9. Find the equations of the tangents to the circle x^2+y^2-6x+4y=12 whic...

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  10. If from any point P on the circle x^2+y^2+2gx+2fy+c=0, tangents are dr...

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  11. The lengths of the tangents from P(1,-1) and Q(3,3) to a circle are sq...

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  12. Which of the following is a point on the common chord of the circle x^...

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  13. If the circles x^2+y^2+2a x+c y+a=0 and x^2+y^2-3a x+d y-1=0 intersec...

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  14. Find the angle at which the circles x^2+y^2+x+y=0 and x^2+y^2+x-y=0 in...

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  15. Find the angle which the common chord of x^2+y^2-4x-4y=0 and x^2+y^2=1...

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

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  17. If the circle x^2+y^2+2gx+2fy+c=0 bisects the circumference of the cir...

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  18. Find the length of the common chord of the circles x^2+y^2+2x+6y=0 and...

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  19. If the circle x^(2)+y^(2)=1 is completely contained in the circle x^(2...

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  20. Prove that the pair of straight lines joining the origin to the points...

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