Engineering
Mathematics
Family of Straight lines
Question
Find the area of the triangle formed by the line x + y = 3 and the angle bisectors of pair of straight lines x2 – y2 + 2y = 1
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Solution
x2 – (y – 1)2 = 0
x – y + 1 = 0, x + y – 1 = 0
⇒ Bisector are y-axis and line parallel to x-axis, i.e. y = 1.
Area of triangle = · 2 × 2 = 2 sq. units.
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