If x² + y² − 12x + 18y + 117 = 0, then the value of x² + y² is:
यदि x² + y² − 12x + 18y + 117 = 0, तो x² + y² का मान ज्ञात कीजिए।
Answer और ExplanationAnswer and explanation
Answer: (D) 117
वर्ग पूरा (Complete the square) करने पर:
(x² − 12x + 36) + (y² + 18y + 81) = 36 + 81 − 117 = 0
(x − 6)² + (y + 9)² = 0 ⇒ x = 6, y = −9
x² + y² = 36 + 81 = 117
✓
मान 117 है।
Complete the squares:
(x² − 12x + 36) + (y² + 18y + 81) = 36 + 81 − 117 = 0
(x − 6)² + (y + 9)² = 0 ⇒ x = 6, y = −9
x² + y² = 36 + 81 = 117
✓
The value is 117.
Source: RRB NTPC (Graduate) · 24 Jun 2025 · Shift 2। Solution: Prashant Sir, Vijayastra।Source: RRB NTPC (Graduate) · 24 Jun 2025 · Shift 2. Solution by Prashant Sir, from Vijayastra.