Hyperbola

JEE Main Mathematics · 5 questions

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• The eccentricity of an ellipse E with centre at the origin O is (√3)/2 and its directrices are x= ± (4 √6)/3. Let H:…20266 April, Shift 2 · Q11
• If the eccentricity e of the hyperbola x^2/a^2-y^2/b^2=1, passing through (6,4 √3), satisfies 15(e^2+1)=34 e, then the length of…20266 April, Shift 1 · Q11
• Let the eccentricity e of a hyperbola satisfy the equation 6 e^2-11 e+3=0. If the foci of the hyperbola are (3,5) and (3,-4),…20265 April, Shift 2 · Q13
• Let H: x^2/a^2-y^2/b^2=1 be a hyperbola such that the distance between its foci is 6 and the distance between its directrices is…20264 April, Shift 2 · Q11
• Let O be the origin, and P and Q be two points on the rectangular hyperbola x y=12 such that the mid point of the line segment PQ…20262 April, Shift 2 · Q11