Let {\A}(\alpha, 0) and {\B}(0, \beta) be the points on the line 5 x+7 y=50. Let the point P divide the line segment A B internally in the ratio 7: 3. Let 3 x- 25=0 be a directrix of the ellipse E: \frac{x^2}{a^2}+\frac{y^2}{b^2}=1 and the corresponding focus be S. If from S, the perpendicular on the {\x}-axis passes through {\P}, then the length of the latus rectum of E is equal to [30-Jan-2024 Shift 2]

JEE Main 30-Jan-2024 Shift 2 Solved Paper

Section: Mathematics

Question : 3 of 90

Marks: +1, -0

Let A(α,0) and B(0,β) be the points on the line 5x+7y=50. Let the point P divide the line segment AB internally in the ratio 7:3. Let 3x− 25=0 be a directrix of the ellipse E:‌

+‌

=1 and the corresponding focus be S. If from S, the perpendicular on the x-axis passes through P, then the length of the latus rectum of E is equal to

[30-Jan-2024 Shift 2]

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25
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32
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25
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32
5

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