AP EAMCET · Maths · Straight Lines
If the locus of a point which is equidistant from the coordinate axes forms a triangle with the line \(y=3\), then the area of the triangle is
- A \(18\)
- B \(9\)
- C \(6\)
- D \(3\)
Answer & Solution
Correct Answer
(B) \(9\)
Step-by-step Solution
Detailed explanation
Locus of points: \(y=x\) and \(y=-x\). Vertices: \( (0,0) \), \( (3,3) \), \( (-3,3) \). Base \(b = |3 - (-3)| = 6\). Height \(h = |3 - 0| = 3\). Area \( = \frac{1}{2}bh = \frac{1}{2}(6)(3) = 9 \).
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