JEE Advanced 2026 Mathematics question
Consider the ellipse given by . Let be the hyperbola whose eccentricity is the reciprocal of the eccentricity of and whose foci are the same as that of . Let and be the points of intersection of and the parabola in the first quadrant. Let be the distance between and .
If and are the integers such that , then the value of is .
Answer: 18
Solution
**The ellipse.** , , so , , and the foci are . **The hyperbola.** Its eccentricity is with the same foci, so , and
=-1)=2(3-1)=4 \
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