वक्र y2 = x पर वह कौन सा बिंदु है, जहाँ स्पर्श रेखा x - अक्ष के साथ का एक कोण बनाती है?

  1. (4, 2)
  2. (1, 1)

Answer (Detailed Solution Below)

Option 3 :
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संकलपना:

x - अक्ष के साथ बिंदु (a, b) पर वक्र y = f(x) के लिए स्पर्श रेखा द्वारा बनाये गए कोण को m = tan θ =  द्वारा ज्ञात किया गया है। 

गणना:

दिया गया वक्र y2 = x है। 

⇒ 

⇒ 

स्पर्श रेखा द्वारा  का एक कोण बनाने के लिए, हमारे पास निम्न होना चाहिए:

tan 

⇒ 1 = 

⇒ y = 

साथ ही, x = y2.

आवश्यक बिंदु है।

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