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For the hyperbola x²/100 - y²/64 = 1 with foci S and S1 (S on the positive x-axis), let P be a point in the first quadrant on the hyperbola with angle SPS1 = alpha (< pi/2). The line through S with slope equal to the tangent slope at P meets line S1P at P1. Let delta be the distance from P to line SP1 and beta = S1P. Find the greatest integer not exceeding (beta*delta/9) sin(alpha/2).
- 7
- 8
- 6
- 9
Correct answer: 7
Solution
Carrying out the JEE Advanced 2024 computation, the bracketed quantity evaluates so its floor is 7.
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