यदि (0, -3) पर y2 + x2 + 3x + 5 = 0 है, तो का मान क्या है?

  1. 1
  2. 1.5
  3. 2
  4. 0.5

Answer (Detailed Solution Below)

Option 4 : 0.5
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NDA 01/2025: English Subject Test
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Detailed Solution

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संकल्पना:

श्रृंखला नियम (प्रतिस्थापन द्वारा अवकलन): यदि y, u का फलन है और u, x का फलन है। 

 

गणना:

दिया गया है y2 + x2 + 3x + 5 = 0

x के संबंध में अवकलन करने पर, हमें निम्न प्राप्त होता है

2y  + 2x +3(1) + 0 = 0

2y + 2x + 3 = 0 

2y  = -(2x + 3)

अब (0, -3) पर

 = 0.5

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