If the lines joining the origin to the intersection of the line y=nx+2 and the curve `x^2+y^2=1` are at right angles, then the value of `n^2` is

If the lines joining the origin to the points of intersection of the line y=mx+2 and the curve x^(2)+y^(2)=1 are at right-angles, then

If the lines joining the origin to the points of intersection of the line y=mx+2 and the curve x^(2)+y^(2)=1 are at right-angles, then

If the lines joining the origin to the points of intersection of the line y =mx +2 and the curve x^(2)+y^(2)=1 are right angles then

If the pair of lines joining the origin and the points of intersection of the line ax+by=1 and the curve x^(2)+y^(2)-x-y-1=0 are at right angles, then the locus of the point (a, b) is a circle of radius=

If the lines joining the origin to the points of intersection of the line 2x+y-1 =0 and the curve 3x^(2)+lambdaxy-4x+1=0 are at right angles then

The pair of straight lines joining the origin to the points of intersection of the line y=2sqrt(2x)+c and the circle x^2+y^2=2 1 are at right angles , if

Find the equation to the pair of straight lines joining the origin to the intersections of the straight line y=mx + c and the curve x^2 + y^2=a^2 . Prove that they are at right angles if 2c^2=a^2(1+m^2) .

Find the equation to the pair of straight lines joining the origin to the intersections of the straight line y=mx + c and the curve x^2 + y^2=a^2 . Prove that they are at right angles if 2c^2=a^2(1+m^2) .

Find the equation to the pair of straight lines joining the origin to the intersections oi the straight line y=mx + c and the curve x^2 + y^2=a^2 . Prove that they are at right angles if 2c^2=a^2(1+m^2) .

Find the equation to the pair of straight lines joining the origin to the intersections oi the straight line y=mx + c and the curve x^2 + y^2=a^2 . Prove that they are at right angles if 2c^2=a^2(1+m^2) .