1

JEE Advanced 2024 Paper 2 Online

MCQ (More than One Correct Answer)

+4

-2

Let $A_1, B_1, C_1$ be three points in the $x y$-plane. Suppose that the lines $A_1 C_1$ and $B_1 C_1$ are tangents to the curve $y^2=8 x$ at $A_1$ and $B_1$, respectively. If $O=(0,0)$ and $C_1=(-4,0)$, then which of the following statements is (are) TRUE?

2

JEE Advanced 2022 Paper 1 Online

MCQ (More than One Correct Answer)

+4

-2

Consider the parabola $$y^{2}=4 x$$. Let $$S$$ be the focus of the parabola. A pair of tangents drawn to the parabola from the point $$P=(-2,1)$$ meet the parabola at $$P_{1}$$ and $$P_{2}$$. Let $$Q_{1}$$ and $$Q_{2}$$ be points on the lines $$S P_{1}$$ and $$S P_{2}$$ respectively such that $$P Q_{1}$$ is perpendicular to $$S P_{1}$$ and $$P Q_{2}$$ is perpendicular to $$S P_{2}$$. Then, which of the following is/are TRUE?

3

JEE Advanced 2021 Paper 2 Online

MCQ (More than One Correct Answer)

+4

-2

Let E denote the parabola y

^{2}= 8x. Let P = ($$-$$2, 4), and let Q and Q' be two distinct points on E such that the lines PQ and PQ' are tangents to E. Let F be the focus of E. Then which of the following statements is(are) TRUE?4

JEE Advanced 2017 Paper 1 Offline

MCQ (More than One Correct Answer)

+4

-1

If a chord, which is not a tangent, of the parabola y

^{2}= 16x has the equation 2x + y = p, and mid-point (h, k), then which of the following is(are) possible value(s) of p, h and k?Questions Asked from Parabola (MCQ (Multiple Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

JEE Advanced 2024 Paper 2 Online (1)
JEE Advanced 2022 Paper 1 Online (1)
JEE Advanced 2021 Paper 2 Online (1)
JEE Advanced 2017 Paper 1 Offline (1)
JEE Advanced 2016 Paper 2 Offline (1)
JEE Advanced 2016 Paper 1 Offline (1)
JEE Advanced 2015 Paper 1 Offline (1)
IIT-JEE 2011 Paper 2 Offline (1)
IIT-JEE 2010 Paper 1 Offline (1)
IIT-JEE 2009 Paper 2 Offline (1)
IIT-JEE 2006 (1)

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