The chord of contact of $(2, 1)$ w.r.t to the circle $x^{2} + y^{2} + 4 x + 4 y + 1 = 0$ is

2 x + y - 7 = 0

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4 x + 3 y + 7 = 0

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3 x + 4 y + 1 = 0

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Solution

The correct option is B $4 x + 3 y + 7 = 0$
The equation of circle is $x^{2} + y^{2} + 4 x + 4 y + 1 = 0$
The point is $(2, 1)$
The chord of contact is given as $S_{1} = 0$
$⟹ x x_{1} + y y_{1} + 2 x + 2 x_{1} + 2 y + 2 y_{1} + 1 = 0 2 x + y + 2 x + 4 + 2 y + 2 + 1 = 0 4 x + 3 y + 7 = 0$

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The chord of contact of (2,1) w.r.t to the circle x2+y2+4x+4y+1=0 is

The correct option is B 4x+3y+7=0The equation of circle is x2+y2+4x+4y+1=0The point is (2,1)The chord of contact is given as S1=0⟹xx1+yy1+2x+2x1+2y+2y1+1=02x+y+2x+4+2y+2+1=04x+3y+7=0

The chord of contact of $(2, 1)$ w.r.t to the circle $x^{2} + y^{2} + 4 x + 4 y + 1 = 0$ is

The correct option is B $4 x + 3 y + 7 = 0$
The equation of circle is $x^{2} + y^{2} + 4 x + 4 y + 1 = 0$
The point is $(2, 1)$
The chord of contact is given as $S_{1} = 0$
$⟹ x x_{1} + y y_{1} + 2 x + 2 x_{1} + 2 y + 2 y_{1} + 1 = 0 2 x + y + 2 x + 4 + 2 y + 2 + 1 = 0 4 x + 3 y + 7 = 0$