यदि वर्गमूल सर्पिल में (10)वां समकोण त्रिभुज बनाया गया, तो उसका कर्ण क्या निरूपित करेगा?
If the (10)th right triangle is constructed in a square root spiral, what will its hypotenuse represent?
Explanation opens after your attempt
Correct Answer
C. \(\sqrt{11}\)
Concept
The hypotenuse of the (r)th triangle is \(\sqrt{r+1}\). Therefore, the (10)th triangle has hypotenuse \(\sqrt{11}\).
Why this answer is correct
The correct answer is C. \(\sqrt{11}\). The hypotenuse of the (r)th triangle is \(\sqrt{r+1}\). Therefore, the (10)th triangle has hypotenuse \(\sqrt{11}\).
Exam Tip
(r)वें त्रिभुज का कर्ण \(\sqrt{r+1}\) होता है। इसलिए (10)वें त्रिभुज का कर्ण \(\sqrt{11}\) है।
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