Conic Sections · JEE Main previous year questions

2023 26 questions

1. Q182023 · 24 Jan 2023 · Shift 2

   The equations of the sides AB and AC of a triangle ABC are $(\lambda +1)x+\lambda y=4$ and $\lambda x+(1-\lambda )y+\lambda =0$ respectively. Its vertex A is on the y-axis and its orthocentre is $(1,2)$. The length of the tangent from the point C to the part of the parabola $y^2=6x$ in the first quadrant is :

   1. A.4
   2. B.$2\sqrt{2}$
   3. C.2
   4. D.$\sqrt{6}$
   Show answer

   Answer: B