If the line - y - 2 x - lambda - touches the hyperbola - 16 x - - 2 - - 9 y - - 2 - - 144 - then - lambda - is equal -A- 2- sqrt - 5 - - -B- 3- sqrt - 5 - - - - mathrm - C - - - 2 sqrt - 5 - - - - D - - 3 sqrt - 5 - -

Question

Toppr Admin · Accepted Answer

If the line \( y = 2 x + \lambda \) touches the hyperbola \( 16 x ^ { 2 } - 9 y ^ { 2 } = 144 \) then \( \lambda \) is equal (A) 2\( \sqrt { 5 } \) (B) 3\( \sqrt { 5 } \) \( ( \mathrm { C } ) - 2 \sqrt { 5 } \) \( ( D ) - 3 \sqrt { 5 } \)