**QUESTION:-**If the quadratic equation

*has two real roots, both greater than 2, then which of the following is true about the value of the expression*

**ax^2 + bx + c = 0**

**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,

ReplyDeleteIn order to clear your basics in Quant, you need to work on your 10th and 12th mathematics, fundamental books.

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Please work with your 10th and 12th mathematics at home. As you are familiar whith those topics, just need to refresh it but with full concentration. Just pickup those books, go through it. Your mentors at coaching center will say that its useless, they will say that you should study with there funda. books only. But it all business. Basics are not just a game of one or two classes.

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