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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.`

A

`y=m(x-1)^(2)+3 sqrt(1+m^(2))-2`

B

`y=mx+3 sqrt(a+m^(2))`

C

`y=mx+3sqrt(1+m^(2))-2`

D

none of these

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The correct Answer is:
A
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OBJECTIVE RD SHARMA-CIRCLES-Chapter Test
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  4. The angle between the pair of tangents from the point (1, 1/2) to the...

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  5. The intercept on line y = x by circle x^2 + y^2- 2x = 0 is AB. Find eq...

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  6. If 3x+y=0 is a tangent to a circle whose center is (2,-1) , then find ...

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  7. Locus of the middle points of chords of the circle x^2 + y^2 = 16 whic...

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  8. Two tangents to the circle x^2 +y^2=4 at the points A and B meet at P(...

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  9. A tangent is drawn to the circle 2(x^(2)+y^(2))-3x+4y=0 and it touch...

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  10. the length of the chord of the circle x^(2)+y^(2)=25 passing through ...

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  11. If the points A(2, 5) and B are symmetrical about the tangent to the c...

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  12. The equation of the circle of radius 2sqrt(2) whose centre lies on the...

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  13. Prove that the maximum number of points with rational coordinates on a...

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  14. The equation of a circle C is x^(2)+y^(2)-6x-8y-11=0. The number of re...

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  15. Two circles, each of radius 5, have a common tangent at (1, 1) whose e...

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  16. The number of points on the circle 2(x^(2)+y^(2))=3x which are at a di...

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  17. A ray of light incident at the point (-2, -1) gets reflected from the ...

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  18. The point on the straight line y = 2x + 11 which is nearest to the cir...

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  19. Extremities of a diagonal of a rectangle are (0, 0) and (4, 3). The eq...

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  20. The equation of the circle which has a tangent 2x-y-1=0 at (3, 5) on i...

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