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Solution


Q.

The quadratic equation x² − 4x + k = 0 has distinct real roots if:
1 k = 4  
2 k > 4  
3 k = 16  
4 k < 4  

Ans.

(4)

Given x² − 4x + k = 0. For distinct real roots, D > 0.

⇒ (−4)² − 4×1×k > 0 ⇒ 16 − 4k > 0 ⇒ 16 > 4k ⇒ k < 4.