A point P(x1,y1) lies on the same plane as that of the circle x2+y2+2g

1.	A point P(x1,y1) lies on the same plane as that of the circle x2+y2+2gx+2fy+c=0. Also T1⇒xx1+yy1+g(x+x1)+f(y+y1)+c=0 Statement (1) : T1 represents a tangent if P is on the circle Statement (2) : T1 represents a chord of contact if p is outside the circle
Answer» A point $P (x_{1}, y_{1})$ lies on the same plane as that of the circle $x^{2} + y^{2} + 2 g x + 2 f y + c = 0$ . Also $T_{1} \Rightarrow x x_{1} + y y_{1} + g (x + x_{1}) + f (y + y_{1}) + c = 0$ Statement (1) : $T_{1}$ represents a tangent if P is on the circle Statement (2) : $T_{1}$ represents a chord of contact if p is outside the circle

A point P(x1,y1) lies on the same plane as that of the circle x2+y2+2gx+2fy+c=0. Also T1⇒xx1+yy1+g(x+x1)+f(y+y1)+c=0 Statement (1) : T1 represents a tangent if P is on the circle Statement (2) : T1 represents a chord of contact if p is outside the circle

Answer»

A point $P (x_{1}, y_{1})$ lies on the same plane as that of the circle $x^{2} + y^{2} + 2 g x + 2 f y + c = 0$ . Also $T_{1} \Rightarrow x x_{1} + y y_{1} + g (x + x_{1}) + f (y + y_{1}) + c = 0$

Statement (1) : $T_{1}$ represents a tangent if P is on the circle

Statement (2) : $T_{1}$ represents a chord of contact if p is outside the circle

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A point P(x1,y1) lies on the same plane as that of the circle x2+y2+2gx+2fy+c=0. Also T1⇒xx1+yy1+g(x+x1)+f(y+y1)+c=0 Statement (1) : T1 represents a tangent if P is on the circle Statement (2) : T1 represents a chord of contact if p is outside the circle

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