If the line y = m x + C is a tangent to the circle x 2 + y 2 = 16 then m =

Question

If the line y = m x + C is a tangent to the circle x 2 + y 2 = 16 then m =, ± 1 4 C - 16, ± 1 4 C 2 - 16, ± 1 C C 2 + 16, ± 1 16 C 2 - 16

MARKS App · Accepted Answer

Given equation of circle is x 2 + y 2 = 16 = 4 2 As, we know that if y = m x + C is tangent to the circle x 2 + y 2 = a 2 then C 2 = a 2 1 + m 2 ⇒ C 2 = 16 1 + m 2 ⇒ C 2 16 - 1 = m 2 ⇒ m = ± 1 4 C 2 - 16 Hence, option 2 is correct.

Search any question & find its solution

Looking for more such questions to practice?