Question
Download Solution PDFशीर्ष (K, 0), (4, 0), (0, 2) वाले त्रिभुज का क्षेत्रफल 4 वर्ग इकाई है, तो K का मान क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
एक त्रिभुज के क्षेत्रफल को निम्न समीकरण द्वारा ज्ञात किया गया है, जिसके शीर्ष (x1, y1), (x2, y2) और (x3, y3) हैं
गणना:
दिया गया है, त्रिभुज का क्षेत्रफल = 4 वर्ग इकाई और शीर्ष (K, 0), (4, 0), (0, 2) है।
इसलिए क्षेत्रफल सदैव धनात्मक होता है लेकिन सारणिक धनात्मक और ऋणात्मक दोनों हो सकता है।
∴ Δ = ± 4 .
⇒ ± 4 =
⇒ ± 4
⇒ ± 8 = -2k + 8
इसलिए, 8 = -2k + 8 या -8 = -2k +8
⇒ k = 0 या 8 .
सही विकल्प 2 है।
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