What is the condition that one root of the equation `ax^(2) + bx + c= 0 " "a!=0` should be double the other ?

Options

A. ` a gt 0 , b gt 0 , c gt 0 , `
B. ` a gt 0 , b lt 0 , c gt0 `
C. ` a lt 0 , b gt 0 , c lt 0 `
D. ` a lt 0 , c gt 0 `

Answer

B

Explanation

Since one root of `ax^(2) + bx + c = 0 , alpha !=0` is positive and another root is negative which is possible only if `alpha `a gt 0, b lt 0, c gt0.`