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Prove that the equation of any tangent t...

Prove that the equation of any tangent to the circle `x^2+y^2-2x+4y-4=0` is of the form `y=m(x-1)+3sqrt(1+m^2)-2.`

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If the circles x^2+y^2+2a^(prime)x+2b^(prime)y+c^(prime)=0 and 2x^2+2...

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  2. A circle passes through the origin and has its center on y=x If it cut...

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

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

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

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

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

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

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

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  14. 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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  15. 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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  16. 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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  17. If the tangents are drawn to the circle x^2+y^2=12 at the point where ...

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

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

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