Question

If y=2√2x+c is a tangent to a circle x²+y²=16.Find the value of b​

Answer 1

Step-by-step explanation:

Given equation of line is y=2x+c and equation of circle is x

2

+y

2

=5

For given line to be tangent its distance from center must be equal to radius of the circle

⇒

4+1

∣c∣

=

5

⇒c=±5