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  • The equation of the pair of straight lines parallel to the y-axis and which are tangents to the circle <img alt="\mathrm{x^2+y^2-6 x-4 y-12=0}" src="https://entrancecorner.oncodecogs.com/gif.l

The equation of the pair of straight lines parallel to the y-axis and which are tangents to the circle \mathrm{x^2+y^2-6 x-4 y-12=0}
 

Option: 1

\mathrm{ x^2+9 x+11=0}


Option: 2

\mathrm{ x^2-6 x-16=0 }


Option: 3

\mathrm{ x^2-5 x+11=0}


Option: 4

\mathrm{ x^2+11 x+2=0 }


Answers (1)

best_answer

If \mathrm{x=\lambda}  parallel to y-axis,

Then \frac{3-\lambda}{\sqrt{1}}= \pm 5 (radius)

3-\lambda= \pm 5 \quad \lambda=3 \pm 5=-2,8

Pair of lines \mathrm{(x+2)(x-8)=0 \Rightarrow x^2-6 x-16=0}

Posted by

Ritika Harsh

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