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Parabola · 2013 · Shift 2

3 Mathematics questions from this JEE Advanced paper

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JEE Advanced
Papers
2013 · Shift 2
Mathematics
Parabola

Parabola · 2013 · Shift 2

3 Mathematics questions from this JEE Advanced paper

Q31.Let $P Q$ be a focal chord of the parabola $y^{2} = 4 a x$ . The tangents to the parabola at $P$ and $Q$ meet at a point lying on the line $y = 2 x + a$ , $a > 0$ . If chord $P Q$ subtends an angle $θ$ at the vertex of $y^{2} = 4 a x$ , then tan $θ =$ …
Mathematics · Parabola · MCQ
Q32.Let $P Q$ be a focal chord of the parabola $y^{2} = 4 a x$ . The tangents to the parabola at $P$ and $Q$ meet at a point lying on the line $y = 2 x + a$ , $a > 0$ . Length of chord $P Q$ is
Mathematics · Parabola · MCQ
Q33.A line $L : y = m x + 3$ meets $y$ -axis at R $(0, 3)$ and the arc of the parabola $y^{2} = 16 x, 0 \leq y \leq 6$ at the point $F (x_{0}, y_{0})$ . The tangent to the parabola at $F (x_{0}, y_{0})$ intersects the $y$ -axis…
Mathematics · Parabola · MCQ