1.

Two numbers whose sum is 12 and the absolute value of whose difference is 4 are the roots of the equation .......(A) x2 - 12x + 30 = 0(B) x2 - 12x + 32 = 0(C) 2x2 - 6x + 7 = 0(D) 2x2 - 24x + 43 = 0

Answer»

The correct option is: (B) x2 - 12x + 32 = 0

Explanation:

Let the two roots be a and b, then

a + b = 12...(1) and a - b = 4 ...(2)

=> a = 8 and b = 4 (from (1)and (2)) 

.'. Required equation is x2 - 12x + 32 = 0



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