The lilne `y=mx+x` and the circle `x^(2)+y^(2)=a^(2)` intersect at A and B. If `AB=2lambda`, then show that : `c^(2)=(1+m^(2))(a^(2)-lambda^(2))`.

The line y=mx+x and the circle x^(2)+y^(2)=a^(2) intersect at A and B. If AB=2lambda , then show that : c^(2)=(1+m^(2))(a^(2)-lambda^(2)) .

If y = mx + c and x^(2) + y^(2) = a^(2) intersect at A and B and if AB = 2lambda , then show that c^(2) =( 1+ m^(2)) (a^(2) - lambda ^(2))

The line y=mx+c intersects the circle x^(2)+y^(2)=r^(2) in two distinct points if

The line y=mx+c intersects the circle x^(2)+y^(2)=r^(2) in two distinct points if

The line lambda x+mu y=1 is a normal to the circle 2x^(2)+2y^(2)-5x+6y-1=0 if

The equation of the tangent to the circle x^2+y^2=r^2 at (a,b) is ax+by-lambda=0 , where lambda is

Tangents are drawn to circle x^(2)+y^(2)=1 at its iontersection points (distinct) with the circle x^(2)+y^(2)+(lambda-3)x+(2lambda+2)y+2=0 . The locus of intersection of tangents is a straight line, then the slope of that straight line is .

Tangents are drawn to circle x^(2)+y^(2)=1 at its iontersection points (distinct) with the circle x^(2)+y^(2)+(lambda-3)x+(2lambda+2)y+2=0 . The locus of intersection of tangents is a straight line, then the slope of that straight line is .