JEE Main 2019 (Online) 10th January Evening Slot | Conic Sections Question 172 | Mathematics

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JEE Main 2019 (Online) 10th January Evening Slot

MCQ (Single Correct Answer)

-1

The length of the chord of the parabola x² $$=$$ 4y having equation x – $$\sqrt 2 y + 4\sqrt 2 = 0$$ is -

$$8\sqrt 2 $$

$$6\sqrt 3 $$

$$3\sqrt 2 $$

$$2\sqrt {11} $$

JEE Main 2019 (Online) 10th January Evening Slot

MCQ (Single Correct Answer)

-1

Let S = $$\left\{ {\left( {x,y} \right) \in {R^2}:{{{y^2}} \over {1 + r}} - {{{x^2}} \over {1 - r}}} \right\};r \ne \pm 1.$$ Then S represents

an ellipse whose eccentricity is $${1 \over {\sqrt {r + 1} }},$$ where r > 1

an ellipse whose eccentricity is $${2 \over {\sqrt {r + 1} }},$$ where 0 < r < 1

an ellipse whose eccentricity is $${2 \over {\sqrt {r - 1} }},$$ where 0 < r < 1

an ellipse whose eccentricity is $$\sqrt {{2 \over {r + 1}}}$$, where r > 1

JEE Main 2019 (Online) 10th January Morning Slot

MCQ (Single Correct Answer)

-1

If the parabolas y² = 4b(x – c) and y² = 8ax have a common normal, then which on of the following is a valid choice for the ordered triad (a, b, c) ?

(1, 1, 3)

(1, 1, 0)

$$\left( {{1 \over 2},2,0} \right)$$

$$\left( {{1 \over 2},2,3} \right)$$

JEE Main 2019 (Online) 10th January Morning Slot

MCQ (Single Correct Answer)

-1

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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