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If the length of the length drawn from (f,g) to the circle `x^(2)+y^(2)=6` be twice the length of the tangent drawn from the same point to the circle `x^(2)+y^(2)+3(x+y)=0` then show that `g^(2)+f^(2)+4g+4f+2=0`.

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CHHAYA PUBLICATION-TANGENT AND NORMAL -SHORT ANSWER TYPE QUESTIONS
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  11. Find the equation of normal to the ellipse x^(2)+4y^(2)=4 at (2 ,1).

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  12. Find the equation of that normal to the parabola x^(2)=4ay which maeks...

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  13. Find the eqaution of that normal to the hyperbola 3x^(2)-2y^(2)=10 at ...

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  14. Find the equation of normal to the parabola y^(2)=12x at (3t^(2),6t)....

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  15. Prove that the normals at the points (1,2) and (4,4) of the parbola y...

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  16. Find the equation of the normal to the hyperbola x^(2)=4y drawn at (2,...

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  17. Find the equation of the normal to the hyperbola x^(2)-y^(2)=9 at the...

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  18. Find the equation of the normal to the curve x^(2)=4y, which passes th...

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  19. Find the equation of the normal at the points on the curve y=(x)/(1-x^...

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  20. A tangent is drawn to the curve x^(2)(x-y)+a^(2)(x+y)=0 at the origin....

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