JEE Main 2022 Mathematics question
For t (0, ), if ABC is an equilateral triangle with vertices A(sin t, −cos t), B(cos t, sin t) and C(a, b) such that its orthocentre lies on a circle with centre (1, 1/3), then is equal to
Answer: (B)
Solution
For an equilateral triangle the orthocentre is the centroid: (h, k) = ((sin t + cos t + a)/3, (−cos t + sin t + b)/3). Then ( t + cos t − cos
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