If the circumcentre of the triangle formed by the lines x+2=0, y+2=0 and kx+y+2=0 is (-1, -1), then what is the value of k?

NDA 2020 Mathematics question

If the circumcentre of the triangle formed by the lines , and is , then what is the value of k?

Answer: (C)

The lines and are perpendicular, so the triangle is right-angled at and its circumcentre is the

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Question ID VK-029225