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If from any point P on the circle x^2+y^...

If from any point `P` on the circle `x^2+y^2+2gx+2fy+c=0,` tangents are drawn to the circle `x^2+y^2+2gx+2fy+csin^2alpha+(g^2+f^2)cos^2alpha=0` , then find the angle between the tangents.

A

`alpha`

B

`2alpha`

C

`alpha//2`

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
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ML KHANNA-THE CIRCLE -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
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  2. From any point on the circle x^(2)+y^(2)=a^(2) tangents are drawn to t...

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

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  4. The angle at which the circle x^(2)+y^(2)=16 can be seen from the poin...

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

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  6. The length of the chord of the circle x^(2)+y^(2)=25 joining the poin...

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  7. If the two circles x^(2)+y^(2)+2gx+2fy=0 and x^(2)+y^(2)+2g(1)x+2f(1)...

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  8. Aline meets the co-ordinate axes in A and B.A circle is circumscribed ...

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

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  10. P and Q are two symmetrical points about the tangent at origin to the...

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  11. Equation of tangent to the circle x^(2)+y^(2)=50 at the point where th...

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  12. If x+y=2 is a tangent to x^(2)+y^(2)=2, then the equation of the tang...

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  13. To which of the following circles, the line y- x+3=0 is normal at the...

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  14. The slope of the tangent at the point (h, h) of the circle x^(2)+y^(2...

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  15. Find the equations of the tangents to the circle x^2 + y^2 = 169 at (5...

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  16. Equation of a tangent to the circle x^(2)+y^(2)=25 passing through (-...

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  17. If line 3x + y=0 be a tangent to a circle drawn from origin to a circ...

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  18. Tangents drawn froin the point' (4,3) to the circle x^(2)+y^(2)-2x-4y=...

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  19. Tangents are drawn to the circle x^(2)+y^(2) -2x-4y-4=0 from the point...

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

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