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  • The equation of the tangent at  to the locus of the po

The equation of the tangent at \mathrm{(\sqrt{2}, 4)} to the locus of the point of intersection of two mutually tangents to the circle \mathrm{x^2+y^2=9 \text { is } \sqrt{2} x+4 y-a=0} then value of a is _______

Option: 1

18


Option: 2

32


Option: 3

24


Option: 4

78


Answers (1)

best_answer

Required locus is \mathrm{x^2+y^2=2a^{3}=18} i,e  director circle.

Tangent at \mathrm{(\sqrt{2}, 4) \text { is } \sqrt{2} x+4 y-18=0 \text {. }}

\mathrm{\therefore a=18}

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mansi

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