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Points A(4, -4) and B(9, 6) lie on the parabola y² = 4x. A point C is taken on the arc AOB (O is the origin) so that the area of triangle ACB is maximum. Find that maximum area (in square units).
- 31 3/4
- 32
- 30 1/2
- 31 1/4
Correct answer: 31 1/4
Solution
The area of ACB as a function of the parameter t is a cubic/quadratic that is maximized at a specific t, giving 31 1/4 sq units.
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