JEE Main 2020 (Online) 7th January Morning Slot | Conic Sections Question 140 | Mathematics

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JEE Main 2020 (Online) 7th January Morning Slot

MCQ (Single Correct Answer)

-1

If y = mx + 4 is a tangent to both the parabolas, y² = 4x and x² = 2by, then b is equal to:

-128

128

-64

-32

JEE Main 2020 (Online) 7th January Morning Slot

MCQ (Single Correct Answer)

-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:

$$\sqrt 3 $$

$$3\sqrt 2 $$

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

$$2\sqrt 3 $$

JEE Main 2019 (Online) 12th April Evening Slot

MCQ (Single Correct Answer)

-1

The equation of common tangent to the curves y² = 16x and xy = –4, is :

x – y + 4 = 0

x + y + 4 = 0

x – 2y + 16 = 0

2x – y + 2 = 0

JEE Main 2019 (Online) 12th April Evening Slot

MCQ (Single Correct Answer)

-1

The tangents to the curve y = (x – 2)² – 1 at its points of intersection with the line x – y = 3, intersect at the point :

$$\left( {{5 \over 2}, - 1} \right)$$

$$\left( { - {5 \over 2}, - 1} \right)$$

$$\left( {{5 \over 2},1} \right)$$

$$\left( { - {5 \over 2},1} \right)$$

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