JEE Main 2019 (Online) 8th April Evening Slot | Conic Sections Question 156 | Mathematics

JEE Main 2019 (Online) 8th April Evening Slot

MCQ (Single Correct Answer)

-1

If the eccentricity of the standard hyperbola passing through the point (4,6) is 2, then the equation of the tangent to the hyperbola at (4,6) is

2x – y – 2 = 0

3x – 2y = 0

2x – 3y + 10 = 0

x – 2y + 8 = 0

JEE Main 2019 (Online) 8th April Evening Slot

MCQ (Single Correct Answer)

-1

The tangent to the parabola y² = 4x at the point where it intersects the circle x² + y² = 5 in the first quadrant, passes through the point :

$$\left( { - {1 \over 4},{1 \over 2}} \right)$$

$$\left( { - {1 \over 3},{4 \over 3}} \right)$$

$$\left( { {3 \over 4},{7 \over 4}} \right)$$

$$\left( { {1 \over 4},{3 \over 4}} \right)$$

JEE Main 2019 (Online) 8th April Evening Slot

MCQ (Single Correct Answer)

-1

In an ellipse, with centre at the origin, if the difference of the lengths of major axis and minor axis is 10 and one of the foci is at (0,5$$\sqrt 3$$), then the length of its latus rectum is:

JEE Main 2019 (Online) 8th April Morning Slot

MCQ (Single Correct Answer)

-1

The shortest distance between the line y = x and the curve y² = x – 2 is :

$$7\over 4 \sqrt2$$

$$7\over8$$

$$11\over 4 \sqrt2$$

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