JEE Advanced Conic Sections questions
5 Mathematics questions on Conic Sections as asked in JEE Advanced, newest first.
- Consider the ellipse dfracx^29+dfracy^24=1. Let S(p,q) be a point in the first quadrant such that dfracp^29+dfracq^24>1. Two tangents are drawn from S to the ellipse, of which one meets the ellipse at one end point of…
2024
- Let A_1, B_1, C_1 be three points in the xy-plane. Suppose that the lines A_1C_1 and B_1C_1 are tangents to the curve y^2=8x at A_1 and B_1, respectively. If O=(0,0) and C_1=(-4,0), then which of the following…
2024
- A normal with slope dfrac1√(6) is drawn from the point (0,-α) to the parabola x^2 = -4ay, where a > 0. Let L be the line passing through (0,-α) and parallel to the directrix of the parabola. Suppose that L intersects…
2024
- Let T_1 and T_2 be two distinct common tangents to the ellipse E : (x^2)/6 + (y^2)/3 = 1 and the parabola P : y^2 = 12x. Suppose that the tangent T_1 touches P and E at the points A_1 and A_2, respectively and the…
2023
- Let P be a point on the parabola y^2 = 4ax, where a > 0. The normal to the parabola at P meets the x-axis at a point Q. The area of the triangle PFQ, where F is the focus of the parabola, is 120. If the slope m of the…
2023
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