If the straight line `lx + my = 1 is a normal to ellipse a^2/l^2 + b^2/m^2 is

If straight line lx + my + n=0 is a tangent of the ellipse x^2/a^2+y^2/b^2 = 1, then prove that a^2 l^2+ b^2 m^2 = n^2.

The line lx+my=n is a normal to the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1

If the straight line 4ax+3by=24 is a normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 (agtb) , then find the the coordinates of focii and the ellipse

If the straight line lx+my+n=0 be a normal to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , then by the application of calculus, prove that (a^2)/(l^2)-(b^2)/(m^2)=((a^2+b^2)^2)/(n^2) .

The line lx+my+n=0 is a normal to the parabola y^2 = 4ax if

The line lx + my+n=0 will be a normal to the hyperbola b^2x^2-a^2y^2=a^2b^2 if

The line l x+m y+n=0 is a normal to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 . then prove that (a^2)/(l^2)+(b^2)/(m^2)=((a^2-b^2)^2)/(n^2)

Let L_1 be a straight line passing through the origin and L_2 be the straight line x + y = 1 if the intercepts made by the circle x^2 + y^2-x+ 3y = 0 on L_1 and L_2 are equal, then which of the following equations can represent L_1 ?

Show that the line lx + my = 1 will touch the ellipse (x ^(2))/( a ^(2)) + (y ^(2))/(b ^(2)) =1 if a ^(2) l ^(2) + b ^(2)m ^(2) = 1.

Find the condition that line lx + my - n = 0 will be a normal to the hyperbola x^(2)/a^(2) - y^(2)/b^(2) = 1 .