Focal distances

JEE Main Mathematics · Hyperbola · 5 questions, latest first

• Let the lengths of the transverse and conjugate axes of a hyperbola in standard form be 2a and 2b, respectively, and one focus…20257 April, Shift 2 · Q22
• Let the sum of the focal distances of the point P(4,3) on the hyperbola H: x^2/(a^2)-y^2/(b^2)=1 be 8 √(5/3). If for H, the…20254 April, Shift 2 · Q12
• Let the product of the focal distances of the point P(4,2 √3) on the hyperbola H: x^2/a^2-y^2/b^2=1 be 32. Let the length of the…20253 April, Shift 1 · Q23
• Let H: -x^2/a^2+y^2/b^2=1 be the hyperbola, whose eccentricity is √3 and the length of the latus rectum is 4 √3. Suppose the…20248 April, Shift 1 · Q16
• If the foci of a hyperbola are same as that of the ellipse x^2/9+y^2/25=1 and the eccentricity of the hyperbola is 15/8 times the…202431 January, Shift 1 · Q16