Question
Download Solution PDFरेखा 3x - 4y + 12 = 0 से बिंदु (4, 1) की दूरी ज्ञात करें।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा :
P (x1, y1) से रेखा ax + by + c = 0 तक लंबवत दूरी d इसके द्वारा दी जाती है,
गणना :
यहां हमें बिंदु (4, 1) से रेखा 3x - 4y + 12 = 0 की दूरी ज्ञात करनी होगी
माना कि P = (4, 1)
⇒ x1 = 4 और y1 = 1
यहाँ, a = 3 और b = - 4
अब समीकरण 3x - 4y + 12 = 0 में x1 = 4 और y1 = 1 को प्रतिस्थापित करें, हमें मिलता है
⇒ |3⋅ x1 - 4 ⋅ y1 + 12| = |12 - 4 + 12| = 20
⇒
जैसा कि हम जानते हैं कि P (x1, y1) से रेखा ax + by + c = 0 तक लंबवत दूरी d इसके द्वारा दी जाती है,
⇒
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