JEE Main 2019 (Online) 12th January Morning Slot | Conic Sections Question 163 | Mathematics

JEE Main 2019 (Online) 12th January Morning Slot

MCQ (Single Correct Answer)

-1

The maximum area (in sq. units) of a rectangle having its base on the x-axis and its other two vertices on the parabola, y = 12 – x² such that the rectangle lies inside the parabola, is :

20$$\sqrt 2 $$

18$$\sqrt 3 $$

JEE Main 2019 (Online) 12th January Morning Slot

MCQ (Single Correct Answer)

-1

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) 12th January Morning Slot

MCQ (Single Correct Answer)

-1

Let P(4, –4) and Q(9, 6) be two points on the parabola, y² = 4x and let x be any point on the arc POQ of this parabola, where O is the vertex of this parabola, such that the area of $$\Delta $$PXQ is maximum. Then this maximum area (in sq. units) is :

$${{625} \over 4}$$

$${{125} \over 4}$$

$${{75} \over 2}$$

$${{125} \over 2}$$

JEE Main 2019 (Online) 11th January Evening Slot

MCQ (Single Correct Answer)

-1

Let the length of the latus rectum of an ellipse with its major axis along x-axis and centre at the origin, be 8. If the distance between the foci of this ellipse is equal to the length of its minor axis, then which one of the following points lies on it ?

$$\left( {4\sqrt 2 ,2\sqrt 3 } \right)$$

$$\left( {4\sqrt 3 ,2\sqrt 3 } \right)$$

$$\left( {4\sqrt 3 ,2\sqrt 2 } \right)$$

$$\left( {4\sqrt 2 ,2\sqrt 2 } \right)$$

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