Sample Question Paper Mathematics- Standard (041) Class- X, Session: 2021-22 TERM II

Ques 2- Find the value of 𝑚 so that the quadratic equation 𝑚𝑥(5𝑥 − 6) = 0 has two equal roots.

Solution : 5mx² – 6mx + 9 = 0
b² – 4ac = 0 ⇒ (-6m)² – 4(5m)(9) = 0
⇒ 36m(m – 5) = 0
⇒ m = 0, 5 ; rejecting m=0, we get m = 5