If the line- y -3 x - k touches the circle x 2- y 2-16- then k -A- 0B- 8C- 4D- 2

The correct option is B 8 Distance from centre of the circle to the tangent is radius. k=± 4√(1+3)=± 8 ...

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Pair of Tangents from a Point

If the line, ...

Question

If the line, $y = \sqrt{3} x + k$ touches the circle $x^{2} + y^{2} = 16$ , then k =

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y = \sqrt{3} x + k

If the line $y = \sqrt{3} x + k$ touches the circle $x^{2} + y^{2} = 16$ , then find the value of k.

y = \sqrt{2} x + k

x^{2} + y^{2} = 16,

k

y = \frac{1}{\sqrt{3}} x + k

x^{2} + y^{2} = 9,

k

\sqrt{3}

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