AP EAMCET · Maths · Straight Lines
If a pair of lines drawn through the origin forms an isosceles right-angled triangle with the line \(2 x+3 y=6\), then those lines are
- A \(x-5 y=0,5 x+y=0\)
- B \(3 x-y=0, x+3 y=0\)
- C \(5 x-y=0, x+5 y=0\)
- D \(x-3 y=0,3 x+y=0\)
Answer & Solution
Correct Answer
(A) \(x-5 y=0,5 x+y=0\)
Step-by-step Solution
Detailed explanation
Given line, \(2 x+3 y=6\) Slope of line \(=-2 / 3\) Equation of lines passing through origin and form an isosceles right angle triangle with the given line \(\therefore\) Each angle be \(45^{\circ}\). \(\therefore\) Equation of line passing through origin and making an angle…
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