1

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?

2

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?3

JEE Advanced 2020 Paper 2 Offline

MCQ (More than One Correct Answer)

+4

-2

Let a and b be positive real numbers such that a > 1 and b < a. Let P be a point in the first quadrant that lies on the hyperbola $${{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1$$. Suppose the tangent to the hyperbola at P passes through the point (1, 0), and suppose the normal to the hyperbola at P cuts off equal intercepts on the coordinate axes. Let $$\Delta $$ denote the area of the triangle formed by the tangent at P, the normal at P and the X-axis. If e denotes the eccentricity of the hyperbola, then which of the following statements is/are TRUE?

4

JEE Advanced 2019 Paper 1 Offline

MCQ (More than One Correct Answer)

+4

-1

Define the collections {E

$${E_1}:{{{x^2}} \over 9} + {{{y^2}} \over 4} = 1$$

R

En : ellipse $${{{x^2}} \over {a_n^2}} + {{{y^2}} \over {b_n^2}} = 1$$ of the largest area inscribed in $${R_{n - 1}},n > 1$$;

R

Then which of the following options is/are correct?

_{1}, E_{2}, E_{3}, ...} of ellipses and {R_{1}, R_{2}, R_{3}.....} of rectangles as follows :$${E_1}:{{{x^2}} \over 9} + {{{y^2}} \over 4} = 1$$

R

_{1}: rectangle of largest area, with sides parallel to the axes, inscribed in E_{1};En : ellipse $${{{x^2}} \over {a_n^2}} + {{{y^2}} \over {b_n^2}} = 1$$ of the largest area inscribed in $${R_{n - 1}},n > 1$$;

R

_{n}: rectangle of largest area, with sides parallel to the axes, inscribed in E_{n}, n > 1.Then which of the following options is/are correct?

Questions Asked from Conic Sections (MCQ (Multiple Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

JEE Advanced 2023 Paper 1 Online (1)
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IIT-JEE 2006 (2)
IIT-JEE 1999 (1)

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