1.

1 A Choose and write the correct alternative.3(1) The sum of the roots of one of the following equations is 3. Whichone is the equation ?(A) x2 3x + 2 = 0(B) x2 + 3x + 2 = 0(C) 3x2 + 6x + 10 = 0 (D) x2 + 3x - 2 = 0​

Answer»

Correct OPTION is

A) x^2−3x+2=0

Let a,B be the roots of the EQUATION.

Then by the PROBLEM,

a+b=3...….(1) and ab=2...…(2).

Then the quadratic equation whose roots are a,b be,  

x^2−(a+b)x+ab=0

or, x^2−3x+2=0.[ Using (1) and (2)]


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