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वक्र y = 2x2 + 3sinx के बिन्दु x = 0 पर अभिलंब की ढाल है

(A) -3

(B) -1/3

(C) 3

(D) 1/3

1 Answer

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Best answer

सही विकल्प है (B) -1/3

दिया है, वक्र का समीकरण y = 2x2 + 3 sinx

दोनों पक्षों का x के सापेक्ष अवकलन करने पर, \(\frac{dy}{dx}\) = 4x + 3cosx

x = 0 पर स्पर्श रेखा की प्रवणता m = \(\left(\frac{dy}{dx}\right)_{x = 0}\) = 4 x 0 + 3 cos 0 = 3

∴ अभिलंब की प्रवणता = \(- \frac1m = - \frac 13\)

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