Conic Sections · JEE Main previous year questions

2019 27 questions

1. Q142019 · 9 Jan 2019 · Shift 1

   Let $0<\theta <\frac{\pi }{2}$. If the eccentricity of the hyperbola $\frac{x^2}{{\cos }^2\theta }-\frac{y^2}{{\sin }^2\theta }=1$ is greater than 2, then the length of its latus rectum lies in the interval :

   1. A.$(3,\infty )$
   2. B.$\left(\frac{3}{2},2\right]$
   3. C.$\left(1,\frac{3}{2}\right]$
   4. D.$(2,3]$
   Show answer

   Answer: A

2. Q212019 · 9 Jan 2019 · Shift 1

   The area (in sq. units) bounded by the parabola $y=x^2-1$, the tangent at the point $(2,3)$ to it and the y-axis is :

   1. A.$\frac{56}{3}$
   2. B.$\frac{32}{3}$
   3. C.$\frac{8}{3}$
   4. D.$\frac{14}{3}$
   Show answer

   Answer: C