Prove that the line lx+my+n=0 toches the circle `(x-a)^(2)+(y-b)^(2)=r^(2)` if `(al+bm+n)^

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If the line `l x+m y+n=0` touches the circle `x^2+y^2=a^2` , then prove that `(l^2+m^2)^2=n^2dot` If the line `l x+m y+n=0` touches the circle `x^2+y^2=a^2` , then prove that `(l^2+m^2)^2=n^2dot`
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Q: 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..... Q: 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.....
The Equation of a Circle Visualised: (x-a)² + (y-b)² = r² The Equation of a Circle Visualised: (x-a)² + (y-b)² = r²
The line l x+m y+n=0 intersects the curve a x^2+2 h x y+b y^2=1 at the pointand Q. The circle on ... The line l x+m y+n=0 intersects the curve a x^2+2 h x y+b y^2=1 at the pointand Q. The circle on ...
Find the condition that the line lx+my+n=0 is a tangent to the circle x^2 + y^2= a^2. Find the condition that the line lx+my+n=0 is a tangent to the circle x^2 + y^2= a^2.
Find the condition that the line \( l x+m y+n=0 \) may touch the circle \( x^{2}+y^{2}=a^{2} \). Find the condition that the line \( l x+m y+n=0 \) may touch the circle \( x^{2}+y^{2}=a^{2} \).
Proving 1=2? Proving 1=2?