रेखा 4x + 3y - 4 = 0 की प्रवणता है:

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HTET TGT Mathematics 2021 Official Paper
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  1. \(\frac{3}{4}\)
  2. \(-\frac{4}{3}\)
  3. \(\frac{4}{3}\)
  4. \(-\frac{3}{4}\)

Answer (Detailed Solution Below)

Option 2 : \(-\frac{4}{3}\)
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HTET PGT Official Computer Science Paper - 2019
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संकल्पना:

एक रेखा का सामान्य समीकरण y = mx + c है, जहाँ m प्रवणता है।

गणना:

दिया गया समीकरण 4x + 3y - 4 = 0 है

⇒ 3y = -4x + 4

⇒ y = (-4/3)x + 4/3

इसे y = mx + c से तुलना करने पर, हमें प्राप्त होता है

प्रवणता, m = -4/3

अत:, रेखा की प्रवणता \(-\frac{4}{3}\) है।

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