JEE Main 2019 (Online) 11th January Evening Slot | Hyperbola Question 80 | Mathematics

A circle cuts a chord of length 4a on the x-axis and passes through a point on the y-axis, distant 2b from the origin. Then the locus of the centre of this circle, is :

an ellipse

a parabola

a hyperbola

a straight line

JEE Main 2019 (Online) 11th January Evening Slot

MCQ (Single Correct Answer)

-1

If a hyperbola has length of its conjugate axis equal to 5 and the distance between its foci is 13, then the eccentricity of the hyperbola is :

$${{13} \over 6}$$

$${{13} \over 12}$$

$${{13} \over 8}$$

JEE Main 2019 (Online) 11th January Morning Slot

MCQ (Single Correct Answer)

-1

Out of Syllabus

Equation of a common tangent to the parabola y² = 4x and the hyperbola xy = 2 is :

x + y + 1 = 0

4x + 2y + 1 = 0

x – 2y + 4 = 0

x + 2y + 4 = 0

JEE Main 2019 (Online) 10th January Morning Slot

MCQ (Single Correct Answer)

-1

Out of Syllabus

The equation of a tangent to the hyperbola 4x² – 5y² = 20 parallel to the line x – y = 2 is :

x $$-$$ y + 9 = 0

x $$-$$ y $$-$$ 3 = 0

x $$-$$ y + 1 = 0

x $$-$$ y + 7 = 0

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