AP EAMCET · Maths · Straight Lines
A line is passing through the point \((4,3)\) and the sum of its intercepts made on the coordinate axes is 14 . Then an equation of that line is
- A \(3 x+4 y=24\)
- B \(6 x+8 y=24\)
- C \(4 x+3 y=25\)
- D \(4 x-3 y=7\)
Answer & Solution
Correct Answer
(A) \(3 x+4 y=24\)
Step-by-step Solution
Detailed explanation
Let intercepts be \(a, b\). \(\frac{x}{a} + \frac{y}{b} = 1\) \(a + b = 14 \implies b = 14 - a\) Line passes through \((4,3)\): \(\frac{4}{a} + \frac{3}{14 - a} = 1\) \(4(14 - a) + 3a = a(14 - a)\) \(56 - 4a + 3a = 14a - a^2\) \(a^2 - 15a + 56 = 0\)…
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