Given that   and  then what is the value of (a+2b) ?

This question was previously asked in
CBSE Superintendent Official Paper (Held On: 20 Apr, 2025)
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  1. 24
  2. 30
  3. 36
  4. 40

Answer (Detailed Solution Below)

Option 3 : 36
Free
ST 1: Current Affairs and General Awareness
20 Qs. 60 Marks 20 Mins

Detailed Solution

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Given:

Formula used:

Calculation:

First, simplify the expression for x:

Next, simplify the expression for y:

This is in the form (a + b)(a - b) = a2 - b2

⇒ y = 1

Now, find the value of :

We are given that .

So,

By comparing the rational and irrational parts:

a = 0

b = 18

a + 2b = 0 + 2 × 18

⇒ a + 2b = 0 + 36

⇒ a + 2b = 36

∴ The correct answer is option 3.

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