Question

1.
2.
3.
4.
Answer (Detailed Solution Below)

Option 1 : $11$ / $11$

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Detailed Solution

सही उत्तर $11$ / $11$ है।

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Question:

If $a - \dfrac{1}{a} = 3$, find the value of $a^2 + \dfrac{1}{a^2}$. / यदि $a - \dfrac{1}{a} = 3$ हो, तो $a^2 + \dfrac{1}{a^2}$ का मान ज्ञात कीजिए।

1.
$11$ / $11$
2.
$9$ / $9$
3.
$7$ / $7$
4.
$13$ / $13$

Correct Answer: $11$ / $11$

Squaring gives $a^2 + \dfrac{1}{a^2} - 2 = 9$, so $a^2 + \dfrac{1}{a^2} = 11$. / वर्ग करने पर $a^2 + \dfrac{1}{a^2} - 2 = 9$, अतः $a^2 + \dfrac{1}{a^2} = 11$।

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