Line and parabola

JEE Main Mathematics · Parabola · 4 questions, latest first

• Let A be the focus of the parabola y^2=8 x. Let the line y=m x+c intersect the parabola at two distinct points B and C. If the…202628 January, Shift 2 · Q13
• An equilateral triangle OAB is inscribed in the parabola y^2=4 x with the vertex O at the vertex of the parabola. Then the…202623 January, Shift 2 · Q11
• If the line 3 x-2 y+12=0 intersects the parabola 4 y=3 x^2 at the points A and B, then at the vertex of the parabola, the line…202523 January, Shift 1 · Q12
• Let R be the focus of the parabola y^2=20 x and the line y=m x+c intersect the parabola at two points P and Q. Let the point…20238 April, Shift 1 · Q14