If the quadratic equation ax^2 + bx + c = 0 has two real roots, both greater than 2, then which of the following is true about the value of the expression
OPTIONS:-
1) S can take any non-negative value
2) S is negative
3) S is positive
4) S > 1
5) None of these
SOLUTION:-
Let (2 + x) and (2 + y) be the roots of the given equation, where both x and y are positive.
Now, Sum of the roots = (-b/a) = 2+x+2+y = 4+x+y
∴ c = a (4 + 2x + 2y + xy)
= −2(4 + x + y) + (4 + 2x + 2y + xy) + 4
= xy
Since both x and y are positive, S > 0
Hence, option 3.
.
Dear Sir,
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Option (3) S is positive.
ReplyDeleteAm I right??
Ankur, Ghaziabaad
You are doing well Mr.Ankur.
ReplyDeleteYou are right. Option(3) is the right answer.
Respected Sir
ReplyDeleteI want to know that how can I clear my basics in Quant??
Thanking you
Dear Mr. Ankur,
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