(2, - 3) पर केंद्र और त्रिज्या 5 इकाई वाले एक वृत्त का समीकरण ज्ञात कीजिए। 

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Airforce Group X MBT 15-Jul-2021 Shift 1
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  1. x2 + y2 - 4x + 6y - 12 = 0
  2. x2 + y2 - 4x - 6y - 12 = 0
  3. x2 + y2 + 10x + 2y + 22 = 0
  4. इनमें से कोई नहीं 

Answer (Detailed Solution Below)

Option 1 : x2 + y2 - 4x + 6y - 12 = 0
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Detailed Solution

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संकल्पना:

(h, k) पर केंद्र और त्रिज्या 'r' वाले वृत्त का समीकरण निम्न है

(x - h)+ (y - k)= r2

गणना:

हम जानते हैं कि (h, k) पर केंद्र और त्रिज्या 'r' वाले वृत्त का समीकरण निम्न है

(x - h)+ (y - k)= r2

यहाँ, केंद्र (h, k) = (2, - 3) और त्रिज्या r = 5 इकाई। 

इसलिए, (2, - 3) पर केंद्र और त्रिज्या 5 इकाई वाले एक वृत्त का समीकरण निम्न है 

(x - 2)+ (y + 3)= 52

अतः (2, - 3) पर केंद्र और त्रिज्या 5 इकाई वाले एक वृत्त का समीकरण  है। 

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