1.

Statement–1 : The number of values of a for which (a2 – 3a + 2) x2 + (a2 – 5a + b) x + a2 – 4 = 0 is an identity in x is 1.Statement–2 : If ax2 + bx + c = 0 is an identity in x then a = b = c = 0.(A) Statement – 1 is True, Statement – 2 is True; Statement – 2 is a correct explanation for Statement – 1. (B) Statement – 1 is True, Statement – 2 is True; Statement – 2 is NOT a correct explanation for Statement – 1.(C) Statement – 1 is True, Statement – 2 is False. (D) Statement – 1 is False, Statement – 2 is True  

Answer»

 

Correct option (A) Statement – 1 is True, Statement – 2 is True; Statement – 2 is a correct explanation for Statement – 1. 

Explanation:

 

(a2 – 3a + 2) x2 + (a2 – 5a + 6) x + a2 – 4 = 0

Clearly only for a = 2, it is an identify. 



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