If the line lx+ my+ n =0    is a tangent to the hyperbola x^2/a^2-y^2/b^2=1 , then show thata

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The pole of the line `lx+my+n=0` with respect to the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1`, The pole of the line `lx+my+n=0` with respect to the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1`,
If the line `lx+my+n=0` touches the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1`. Then If the line `lx+my+n=0` touches the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1`. Then
The line lx+my=n is a normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 if | CLASS 12 | ... The line lx+my=n is a normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 if | CLASS 12 | ...
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 t... 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 t...
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 `lx + my+n=0` will be a normal to the hyperbola `b^2x^2-a^2y^2=a^2b^2` if
Find an equation of the tangent line to the hyperbola x^2/a^2 - y^2/b^2 = 1 at th… Find an equation of the tangent line to the hyperbola x^2/a^2 - y^2/b^2 = 1 at th…
If the line 𝒍𝒙+𝒎𝒚=𝟏 is a tangent to the circle 𝒙^𝟐+𝒚^𝟐=𝒂^𝟐, then prove that (𝒍, 𝒎) lies on a circle. If the line 𝒍𝒙+𝒎𝒚=𝟏 is a tangent to the circle 𝒙^𝟐+𝒚^𝟐=𝒂^𝟐, then prove that (𝒍, 𝒎) lies on a circle.
When tangent line at (m, n) on hyperbola x^2/4 -y^2 =1 passes through point (0, -2), find m times n When tangent line at (m, n) on hyperbola x^2/4 -y^2 =1 passes through point (0, -2), find m times n