Ellipse

JEE Main Mathematics · 6 questions

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• Let x^2/(f(a^2+7 a+3))+y^2/(f(3 a+15))=1 represent an ellipse with major axis along y -axis, where f is a strictly decreasing…20268 April, Shift 2 · Q20
• Let x=9 be a directrix of an ellipse E, whose centre is at the origin and eccentricity is 1/3. Let P(α, 0), α>0, be a focus of E…20266 April, Shift 2 · Q12
• Let a focus of the ellipse E: x^2/a^2+y^2/b^2=1 be S(4,0) and its eccentricity be 4/5. If the point P(3, α) lies on E and O is…20265 April, Shift 1 · Q9
• Consider the parabola P: y^2=4 k x and the ellipse E: x^2/a^2+y^2/b^2=1. Let the line segment joining the points of intersection…20264 April, Shift 1 · Q22
• Let A be the point (3,0) and circles with variable diameter AB touch the circle x^2+y^2=36 internally. Let the curve C be the…20262 April, Shift 2 · Q23
• Let an ellipse x^2/(a^2)+y^2/(b^2)=1, a<b, pass through the point (4,3) and have eccentricity (√5)/3. Then the length of its…20262 April, Shift 1 · Q10