JEE Main Mathematics — Hyperbola Previous-Year Questions

Let PQ be a chord of the hyperbola x²4-y²b²=1, perpendicular to the x -axis such that OPQ is an equilateral triangle, O…

If the eccentricity e of the hyperbola (x²)/(a²) - (y²)/(b²) = 1, passing through (6, 4√(3)), satisfies 15(e² + 1) = 34…

If the line α x+2 y=1, where α R, does not meet the hyperbola x²-9 y²=9, then a possible value of α is:

Let the eccentricity e of a hyperbola satisfy the equation 6e² - 11e + 3 = 0. If the foci of the hyperbola are (3, 5) a…

Let H: (x²)/(a²)-(y²)/(b²)=1 be a hyperbola such that the distance between its foci is 6 and the distance between its d…

Let P(10,2 √(15)) be a point on the hyperbola x²a²-y²~b²=1, whose foci are S and Sⁱme. If the length of its latus rectu…

Let the foci of a hyperbola coincide with the foci of the ellipse x²36+y²16=1. If the eccentricity of the hyperbola is…

For some θ (0, (π)/(2) ), let the eccentricity and the length of the latus rectum of the hyperbola x²-y² ² θ=8 be e₁ an…

Let the domain of the function f(x)= ₃ ₅ ₇ (9 x-x²-13 ) be the interval (m, n). Let the hyperbola x²a²-y²~b²=1 have ecc…

Let O be the origin, and P and Q be two points on the rectangular hyperbola xy = 12 such that the mid point of the line…