If the line y = m x + 1 meets the circle x 2 + y 2 + 3 x = 0 in two points equidistant from and on opposite sides of x -axis, then

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Circle: x 2 + y 2 + 3 x = 0 Centre, B = ( − 2 3 ​ , 0 ) y -intercept of the line = 1 ∴ A = ( 0 , 1 ) Slope of line, m = tan θ = OB O A ​ ​ ⇒ m = 2 3 ​ 1 ​ = 3 2 ​ ⇒ 3 m − 2 = 0 ​

Mathematics - Circle Question with Solution | TestHub

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