Question

Let us get familiarized with some terms.

1) S: It is the equation of circle.

$S_1$: We get $S_1$ by substituting a point $x_1,y_1$ in the equation of the circle

$S_1=x_1^2+y_1^2+2g{x}_1+2f{y}_1+c$

2) T: We get T by replacing $x_2$ with $x{x}_1,y_2$ with $y{y}_1,x$ with $\frac{x+x_1}{2},y$ with $\frac{y+y_1}{2}$ and $xy$ wih $\frac{x{y}_1+y{x}_1}{2}.C$

remains the same

$T\equiv x{x}_1+y{y}_1+g(x+x_1)+f(y+y_1)+c$

These are really helpfull in finding the equation of tangent; chord of contact, pair of tangents from

appoint and determining if a point lies inside a circle.

If $S_1<0$, the point lies inside the circle

If $S_1=0$ the point lies on the circle and if $S_1>0$ the point lies outside the circle.

If you are comfortable and read this, click true to more to the question.

• A. True
• B. False

Answer 1

The correct option is A

True

By clicking true, you will be taken to the next question.