AP EAMCET · Maths · Straight Lines
If a point \(P\) on the line \(3 x+5 y=15\) is equidistant from the coordinate axes, then \(P\) lies
- A only in the first quadrant
- B either in first or in second quadrant
- C either in first or in third quadrant
- D only in the third quadrant
Answer & Solution
Correct Answer
(B) either in first or in second quadrant
Step-by-step Solution
Detailed explanation
Let the point \(P(h, k)\) lie on the line \(3 x+5 y=15\) Distance from coordinate axes are equal from \(P\). \(\therefore \quad|h|=|k|\) \(\Rightarrow \quad h= \pm k\) Point \(P\) line of \(3 x+5 y=15\) \(3 h+5 k=15 \Rightarrow 3 h+5 h=15\)…
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