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  • If the line y = 2x+ c is secent to the circle , then Op

If the line y = 2x+ c is secent to the circle x^2+y^2=9, then 

Option: 1

-3\sqrt{5}<c


Option: 2

c<3\sqrt{5}


Option: 3

-3\sqrt{5}<c<3\sqrt{5}


Option: 4

None of these


Answers (1)

best_answer

Given equation of circle x^2+y^2=9

and the line y = 2x + c is secent to the circle,

it means it intersects at two-point

\\3>\frac{\left|c\right|}{\sqrt{1+4}}\\\sqrt{5}\left|c\right|<15\\\left|c\right|<3\sqrt{5}\\-3\sqrt{5}<c<3\sqrt{5}

 

 

Posted by

Rishi

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