JEE Main 2019 (Online) 12th January Morning Slot | Hyperbola Question 57 | Mathematics

If the vertices of a hyperbola be at (–2, 0) and (2, 0) and one of its foci be at (–3, 0), then which one of the following points does not lie on this hyperbola?

$$\left( {6,5\sqrt 2 } \right)$$

$$\left( {2\sqrt 6 ,5} \right)$$

$$\left( { - 6,2\sqrt {10} } \right)$$

$$\left( {4,\sqrt {15} } \right)$$

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 Evening Slot

MCQ (Single Correct Answer)

-1

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 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