JEE Main 2024 — Hyperbola Questions with Solutions

Let A be a square matrix of order 2 such that |A|=2 and the sum of its diagonal elements is -3 . If the points (x, y) s…

Let the foci and length of the latus rectum of an ellipse x 2 a 2 + y 2 b 2 = 1 , a > b be ± 5 , 0 and 50 , respectivel…

Consider a hyperbola H having centre at the origin and foci on the x-axis. Let C₁ be the circle touching the hyperbola…

Let S be the focus of the hyperbola (x²)/(3)-(y²)/(5)=1, on the positive x-axis. Let C be the circle with its centre at…

Let x 2 a 2 + y 2 b 2 = 1 , a > b be an ellipse, whose eccentricity is 1 2 and the length of the latus rectum is 14 . T…

Let H: (-x²)/(a²)+(y²)/(b²)=1 be the hyperbola, whose eccentricity is √(3) and the length of the latus rectum is 4 √(3)…

Let P be a point on the hyperbola H : x 2 9 - y 2 4 = 1 , in the first quadrant such that the area of triangle formed b…

Let e 1 be the eccentricity of the hyperbola x 2 16 - y 2 9 = 1 and e 2 be the eccentricity of the ellipse x 2 a 2 + y…

Let the latus rectum of the hyperbola x 2 9 - y 2 b 2 = 1 subtend an angle of π 3 at the centre of the hyperbola. If b…

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…