JEE Main 2022 Mathematics question
In an isosceles triangle ABC, the vertex A is (6, 1) and the equation of the base BC is 2x + y = 4. Let the point B lie on the line x + 3y = 7. If (, ) is the centroid of , then is equal to :
Answer: (3)
Solution
B is the intersection of 2x + y = 4 and x + 3y = 7: B = (1, 2). Let C = (k, 4 − 2k). Since the triangle is isosceles with apex A, : + (−3 + , so $ - 24k
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