Question: No. of values of 'l' for which line lx + $\frac { \mathrm { y } } { \ell }$ + 1 = 0 is tangent to ...

Question

No. of values of 'l' for which line lx + $\frac { \mathrm { y } } { \ell }$ + 1 = 0 is tangent to (x – 1)² + (y – 1)² = 1 is

Answer 1

Perpendicular distance of line from (1, 1) = radii = 1

$\frac { \left| \ell + \frac { 1 } { \ell } + 1 \right| } { \sqrt { \ell ^ { 2 } + \frac { 1 } { \ell ^ { 2 } } } }$ =1 Ž No real l

Question: No. of values of 'l' for which line lx + \(\frac { \mathrm { y } } { \ell }\) + 1 = 0 is tangent to ...