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  • If the line lx Plus my equal to 1 is a tangent to the circle x square plus y square equal to a square, then the point (l, m) lies on a circle.

If the line lx + my = 1 is a tangent to the circle x2 + y2 = a2, then the point (l, m) lies on a circle.

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True  

 Given circle is x2+y2=a2

The given line lx+my-1=0 is tangent to the circle 

Distance of (0,0) from the line lx+my-1=0 is equal to the radius a 

\left | \frac{0+0+1}{\sqrt{l^{2+m^{2}}}} \right |=a

l^2+m^{2}=\frac{1}{a^{2}}

The locus of (l,m) is x^{2}+y^{2}=\frac{1}{a^{2}}. which is an equation of a circle.

 

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