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  • The combined equation of the tangent to the circle  from the point P

The combined equation of the tangent to the circle x^{2}+y^{2}-2x=3 from the point P(2,3) is

Option: 1

5x^{2}-3y^{2}-2x-43-6xy+30y=0


Option: 2

5x^{2}+3y^{2}+2x-43-6xy+30y=0


Option: 3

5x^{2}-3y^{2}-2x-43+6xy-30y=0


Option: 4

None of these


Answers (1)

best_answer

\\\text{The combined equation of the pair of tangents drawn }SS_{1}=T^{2} \\ (x^{2}+y^{2}-$ $2x-3) (2^{2}+3^{2}-$ $2\times 2-3)=(2x+3y-(x+2)-3)^2\\ (x^{2}+y^{2}-$ $2x-3) 6=(x+3y-5)^2\\ 6x^{2}+6y^{2}-12x-18=x^2+9y^2+6xy+25-10x-30y\\ 5x^{2}-3y^{2}-2x-43-6xy+30y=0\\

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avinash.dongre

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