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Circles

JEE Advanced · Mathematics · 44 past questions

7 of 44 · show all

  1. Q1 2025 Paper 2
    Let $P(x_1,y_1)$ and $Q(x_2,y_2)$ be two distinct points on the ellipse…
  2. Q10 2021 Paper 2
    Consider the region $R = \{(x, y) \in \mathbb{R} \times \mathbb{R} : x \geq 0 \text{ and } y^2 \leq 4 - x\}$.…
  3. Q11 2021 Paper 2
    Consider the region $R = \{(x, y) \in \mathbb{R} \times \mathbb{R} : x \geq 0 \text{ and } y^2 \leq 4 - x\}$.…
  4. Q23 2016 Paper 1
    The circle $C_1: x^2+y^2=3$, with centre at $O$, intersects the parabola $x^2=2y$ at the point $P$ in the…
  5. Q25 2015 Paper 1
    If the normals of the parabola $y^2=4x$ drawn at the end points of its latus rectum are tangents to the…
  6. Q27 2014 Paper 2
    The common tangents to the circle $x^2+y^2=2$ and the parabola $y^2=8x$ touch the circle at the points $P, Q$…
  7. Q30 2012 Paper 1
    Let $S$ be the focus of the parabola $y^2=8x$ and let $PQ$ be the common chord of the circle…