JEE Advanced Mathematics question
ABC is an isosceles triangle whose vertices A and C have the coordinates and respectively, and AC is one of the two equal sides. If the equation of the side AB is then B has the coordinates
Answer: (A),(C)
Solution
lies on . Let . Also .
*(Figure (schematic): line through A(1,1), with B = (α, 2 − α) on it; C(2, −1) off the line; AC and the other equal side are marked.)*
**Case 1: .** 2)^2)^2$ = 5 ⇒ 2α^2 - 10α + 8
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