If the line y=mx +1 meets the circle `x^(2)+y^(2)+3x=0` in two points equidistant and on opposite sides of x-axis, thenA. 3m-2=0B. 2m+3=0C. 3m+2=0D. 2m-3=0

If the line y=mx +1 meets the circle `x^(2)+y^(2)+3x=0` in two points

1.	If the line y=mx +1 meets the circle `x^(2)+y^(2)+3x=0` in two points equidistant and on opposite sides of x-axis, thenA. 3m-2=0B. 2m+3=0C. 3m+2=0D. 2m-3=0
Answer» Correct Answer - B If the line y=mx+1 meets the circle `x^(2)+y^(2)+3x=0` in two points equidistant and on opposite sides of x-axis then the equation `x^(2)+(mx+1)^(2) +3x=0` or `x^(2)(1+m^(2))+(2m+3)x+1=0` must have roots equal in magnitude but opposite in sign. `:. `Sum of the roots `=0 rArr - (2m+3)/(1+m)=0rArr 2m+3=0`

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If the line y=mx +1 meets the circle `x^(2)+y^(2)+3x=0` in two points equidistant and on opposite sides of x-axis, thenA. 3m-2=0B. 2m+3=0C. 3m+2=0D. 2m-3=0

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