Q.

If the roots of equation ax² + bx + c = 0, a  0 are real and equal, then which of the following relation is true

1 a = 2b²/c  
2 b² = 2ac  
3 ac = b²/4  
4 c = 4b²/a  

Ans.

(3)

Given equation is ax² + bx + c = 0, a  0.
For real and equal roots, D = 0.

 b²  4ac = 0  b² = 4ac  b²/4 = ac