परवलय y = 3x2 और x- y + 4 = 0 से घिरा क्षेत्रफल है:

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AAI ATC Junior Executive 21 Feb 2023 Shift 2 Official Paper
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दिया गया है:

परवलय y = 3x2 और x- y + 4 = 0

संकल्पना​:

दो वक्रों y1 और y2 के बीच के क्षेत्रफल की संकल्पना को x = a और x = b के बीच लागू करने पर 

गणना:

परवलय y = 3x2 और x- y + 4 = 0

तब 3x2 = x2 + 4

⇒ x2 = 2

⇒ x = ± √ 2

तब क्षेत्रफल है

 वर्ग इकाई

अतः विकल्प (4) सही है।

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