JEE Main 2020 (Online) 7th January Morning Slot | Ellipse Question 57 | Mathematics | JEE Main - ExamSIDE.com

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1

JEE Main 2020 (Online) 7th January Morning Slot

MCQ (Single Correct Answer)

+4

-1

If the distance between the foci of an ellipse is 6 and the distance between its directrices is 12, then the length of its latus rectum is :

A

$$\sqrt 3 $$

B

$$3\sqrt 2 $$

C

$${3 \over {\sqrt 2 }}$$

D

$$2\sqrt 3 $$

2

JEE Main 2019 (Online) 12th April Evening Slot

MCQ (Single Correct Answer)

+4

-1

An ellipse, with foci at (0, 2) and (0, –2) and minor axis of length 4, passes through which of the following points?

A

$$\left( {2,\sqrt 2 } \right)$$

B

$$\left( {2,2\sqrt 2 } \right)$$

C

$$\left( {\sqrt 2 ,2} \right)$$

D

$$\left( {1,2\sqrt 2 } \right)$$

3

JEE Main 2019 (Online) 12th April Morning Slot

MCQ (Single Correct Answer)

+4

-1

Out of Syllabus

If the normal to the ellipse 3x² + 4y² = 12 at a point P on it is parallel to the line, 2x + y = 4 and the tangent to the ellipse at P passes through Q(4,4) then PQ is equal to :

A

$${{\sqrt {61} } \over 2}$$

B

$${{\sqrt {221} } \over 2}$$

C

$${{\sqrt {157} } \over 2}$$

D

$${{5\sqrt 5 } \over 2}$$

4

JEE Main 2019 (Online) 10th April Evening Slot

MCQ (Single Correct Answer)

+4

-1

Out of Syllabus

The tangent and normal to the ellipse 3x² + 5y² = 32 at the point P(2, 2) meet the x-axis at Q and R, respectively. Then the area (in sq. units) of the triangle PQR is :

A

$${{14} \over 3}$$

B

$${{16} \over 3}$$

C

$${{68} \over {15}}$$

D

$${{34} \over {15}}$$

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