Solving The Toughest Question of JEE Advanced 2022
Cracking one of the toughest coordinate geometry questions from JEE Advanced 2022! In this video, we break down the complex Hyperbola problem from Paper 2 involving foci properties, tangent slopes, and the final greatest integer step.
If you found the official answer key calculation tedious, this step-by-step breakdown will show you the exact property-based visualization to solve it without getting lost in massive calculations.
Key Concepts Covered:
Standard Hyperbola Equations
Focal properties and angle bisector theorems of tangents
Distance of a point from a straight line
Evaluating the final greatest integer function (GIF) expression
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Alternative Search Terms:
x2/100 - y2/64 = 1 hyperbola question
consider the hyperbola x^2/100 - y^2/64 = 1 with foci at S and S1
Let P be a point on the hyperbola in the first quadrant angle SPS1 = alpha
greatest integer less than or equal to beta*delta/9 sin(alpha/2)
JEE Advanced 2022 Maths Paper 2 Coordinate Geometry solutions
Question:
Consider the hyperbola x^2/100 - y^2/64 = 1 with foci at S and S1, where S lies on the positive x-axis. Let P be a point on the hyperbola in the first quadrant, SPS1 = α less π/2. The straight line through S having the same slope as the tangent at P intersects the straight line S1P at P1. Let δ be the distance of P from the straight line SP1, and β = S1P. The greatest integer less than or equal to (βδ / 9) * sin(α / 2) is _______.
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