The equation of circle which touches the axes of coordinates and the line $fracx3+y4$ and whose centre lies in the first quadrant is $x^{2} + y^{2} - 2 c x - 2 c y + c^{2} = 0,$ where c is

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Solution

The correct option is D 6
Its centre is of type (c, c) and radius is
$∣ ∣ \frac{4 c + 3 c - 12}{5} ∣ ∣ = \sqrt{c^{2}} \Rightarrow c = 6.$

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The equation of circle which touches the axes of coordinates and the line fracx3+y4 and whose centre lies in the first quadrant is x2+y2−2cx−2cy+c2=0, where c is

The correct option is D 6Its centre is of type (c, c) and radius is ∣∣4c+3c−125∣∣=√c2⇒c=6.

The equation of circle which touches the axes of coordinates and the line $fracx3+y4$ and whose centre lies in the first quadrant is $x^{2} + y^{2} - 2 c x - 2 c y + c^{2} = 0,$ where c is

The correct option is D 6
Its centre is of type (c, c) and radius is
$∣ ∣ \frac{4 c + 3 c - 12}{5} ∣ ∣ = \sqrt{c^{2}} \Rightarrow c = 6.$