वक्र x = f(y), y - अक्ष और दो रेखाएं y = a और y = b द्वारा घेरा गए क्षेत्रफल किसके बराबर है?

  1. उपरोक्त में से कोई नहीं 

Answer (Detailed Solution Below)

Option 3 :
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NDA 01/2025: English Subject Test
30 Qs. 120 Marks 30 Mins

Detailed Solution

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संकल्पना:

x = a और x = b के बीच वक्र y = f(x) के तहत क्षेत्रफल (A) को निम्न द्वारा ज्ञात किया गया है,

A = 

गणना:

यहाँ, वक्र x = f(y) और रेखाएं y = a और y = b है। 

∴ क्षेत्रफल = 

                   (∵ f(y) = x)

अतः विकल्प (3) सही है। 

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