Question

A straight line :x=y+2x=y+2 touches the circle 4(x^2 + y^2) =r^24(x2+y2)=r2 . The value of r is??


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I would have ignored u if u didn't tell me that. hehe
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Answer 1

Step-by-step explanation:

$x = y + 2x = y + 2 \\ 1 \: \: = \: \: \: \: \: 2 \: \: \: \: \: = \: \: \: \: 3 \\ taking \: 1 = 2 \\ \\ x = y + 2x \\ - y = x - - (i) \\ taking \: 2 = 3 \\ \\ y + 2x = y + 2 \\ 2x = 2 \\ x = 1 \\ put \: the \: value \: of \: x \: in \: (i) \\ - y = 1 \\ y = - 1 \\ 4( {x}^{2} + {y}^{2} ) = {r}^{2} \times 4( {x }^{2} + {y}^{2} ) = {r}^{2} \\ 4 \: \: \: \: \: \: \: \: \: = \: \: \: \: \: \: \: \: \: \: \: \: \: 5 \: \: \: \: \: \: \: \: \: \: \: \: \ \: \: = 6 \\ taking \: 4 = 6\\ 4( {x}^{2} + {y}^{2} ) = {r}^{2} \\ 4( {(1)}^{2} + {( - 1)}^{2} ) = {r}^{2} \\ 4(1 + 1) = {r}^{2} \\ 8 = {r}^{2} \\ r = \sqrt{8} \\ r = 2 \sqrt{2}$

HOPE THIS HELPS YOU

MARK ME BRAINLIEST

Answer 2

Answer:

Hi Sareen sorry for delay friend I am Rohan how are you

Step-by-step explanation: