Questions
The triangle formed by the pair of lines and is
detailed solution
Correct option is A
The combined equation of pair of lines passing through the origin and forming equilateral triangle with the line ax+by+c=0 is ax+by2−3bx−ay2=0 The combined equation of pair of lines passing through the origin and forming equilateral triangle with the line x−2y+13=0 is x−2y2−32x+y2=0 Simplifying the above equation, we get 11x2+16xy−y2=0Therefore, the triangle formed by the given lines is equilateral triangle.Talk to our academic expert!
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The orthocentre of the triangle formed by the lines with is
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