Prove that the line touches the circle if (al + bm + n)^2 = r^2(l^2 + m^2)

MATHEMATICS · Subjective · CBSE · Mathematics · Straight Lines · Straight Lines

Problem

Prove that the line lx+my+n=0lx + my + n = 0 touches the circle (x−a)2+(y−b)2=r2(x - a)^2 + (y - b)^2 = r^2 if (al+bm+n)2=r2(l2+m2)(al + bm + n)^2 = r^2(l^2 + m^2)

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