समतलों x + y + z + 1 = 0 और 2x - 2y + 2z + 1 = 0 के बीच के कोण का कोसाइन क्या है?

  1. 1/2
  2. 1/3
  3. 2/3
  4. इनमें से कोई भी नहीं

Answer (Detailed Solution Below)

Option 2 : 1/3
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अवधारणा:

दो समतलों a1x + b1y + c1z + d= 0 और a2x + b2y + c2z + d2 = 0 के बीच का कोण निम्न द्वारा दिया जाता है

गणना:

दिए गए समतल हैं, x + y + z + 1 = 0 ⇒ a1x + b1y + c1z + d= 0

और 2x - 2y + 2z + 1 = 0 ⇒ a2x + b2y + c2z + d2 = 0 

हम जानते हैं कि दो समतलों a1x + b1y + c1z + d= 0 और a2x + b2y + c2z + d2 = 0 के बीच का कोण निम्न द्वारा दिया जाता है 

⇒ 

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