Question

If line y= 2x+c is tangent to
The circle x² + y ²=9, then c=?​

Answer 1

Answer:

c= -3

Step-by-step explanation:

$y = 2x + c \\ x ^{2} + y^{2} = 9 \\ \\ put \: x = 0 \: in \: eqation \: 2 \\ y = 3 \\ again \: put \: y = 0 \\ x = 3 \\ value \: of \: x \: and \: y \: put \: in \: eqation \: 1 \\ y = 2x + c \\ 3 = 2 \times 3 + c \\ 3 = 6 + c \\ c = - 3$

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