Question
Download Solution PDFयदि P(2, 4), Q(8, 12), R(10, 14) और S(x, y) एक समांतर चतुर्भुज के शीर्ष हैं, तो (x + y) किसके बराबर है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFव्याख्या:
O, P और R का मध्यबिंदु है
⇒ O = \([\frac{10+2}{2}, \frac{14+4}{2}]\) = (6,9)
इसके अलावा, O, S और Q का मध्यबिंदु है।
⇒ O = \((\frac{x + 8}{2}, \frac{y+12}{2})\)
⇒ (6,9) = \((\frac{x + 8}{2}, \frac{y+12}{2})\)
दोनों पक्षों की तुलना करने पर, हमें मिलता है
⇒ \(\frac{x+8}{2} = 6\)
⇒x =4
इसके अलावा
⇒ \(\frac{y+12}{2} = 9\)
⇒ y = 6
इस प्रकार, x + y = 4 + 6 = 10
∴ विकल्प (b) सही है
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