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The lengths of the tangents from P(1,-1)...

The lengths of the tangents from `P(1,-1)` and `Q(3,3)` to a circle are `sqrt(2)` and `sqrt(6)` , respectively. Then, find the length of the tangent from `R(-1,-5)` to the same circle.

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Find the equations of the tangents to the circle x^2+y^2-6x+4y=12 whic...

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

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

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

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  5. 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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  6. The circles x^2+y^2+x+y=0and x^2+y^2+x-y=0intersect at an angle of

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  7. The common chord of x^2+y^2-4x-4y=0 and x^2+y^2=16 subtends at the ori...

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

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

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

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

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

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  13. The circles x^2+y^2-12 x-12 y=0 and x^2+y^2+6x+6y=0. a.touch each oth...

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  14. If theta is the angle between the two radii (one to each circle) drawn...

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  15. If the two lines a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 cut the co-...

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  16. A line is drawn through a fixed point P(alpha,beta)to cut the circle x...

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  17. Circles are drawn through the point (2, 0) to cut intercept of length ...

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  18. Find the equation of the circle which passes through the origin and cu...

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  19. Find the point of intersection of the circle x^2+y^2-3x-4y+2=0 with th...

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  20. Four distinct points (2k,3k),(1,0),(0,1)and(0,0) lie on a circle for

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