Home
Class 12
MATHS
Show that the area of the triangle forme...

Show that the area of the triangle formed
by the two tangents through `P(x_(1), y_(1))` to
the circle `S -= x^(2) + y^(2) +2gx + 2fy +c =0`
and the chord of contact of P with respect
to `S= 0`is `(r(S_(11))^(3//2))/(S_(11)+r^(2))` where `r` is the radius
of the circle.

Promotional Banner

Similar Questions

Explore conceptually related problems

Show that the area of the triangle formed by the two tangents through P(x_(1),y_(1)) to the circle S=x^(2)+y^(2)+2gx+2fy+c=0 and the chord of contact of P w.r.t S=0 is (r(S_(11))^(3//2))/(S_(n)+r^(2)) , where r is the radius of the circle.

The equation of the normal at P(x_(1),y_(1)) to the circle x^(2)+y^(2)+2gx+2fy+c=0 is

If alpha is the angle subtended at P(x_(1),y_(1)) by the circle S-=x^(2)+y^(2)+2gx+2fy+c=0 then

If alpha is the angle subtended at P(x_(1),y_(1)) by the circle S-=x^(2)+y^(2)+2gx+2fy+c=0 then

If alpha is the angle subtended at P(x_(1),y_(1)) by the circle S-=x^(2)+y^(2)+2gx+2fy+c=0 then

Show that the circle S = x^(2) +y^(2) +2gx +2fy +c=0 touches the y - axis if f^(2) =c

Show that the circle S-= x^(2) + y^(2) + 2gx + 2fy + c = 0 touches the (i) X- axis if g^(2) = c

Show that the circle S = x^(2) +y^(2) +2gx +2fy +c=0 touches the X - axis if g^(2) =c

Area of triangle formed by two tangents from (x_(1),y_(1)) to the circle S=0 and chord of contact of (x_(1),y_(1)) is,(r is radius of circle)