1
JEE Main 2019 (Online) 10th January Evening Slot
+4
-1
The length of the chord of the parabola x2 $$=$$ 4y having equation x – $$\sqrt 2 y + 4\sqrt 2 = 0$$  is -
A
$$8\sqrt 2$$
B
$$6\sqrt 3$$
C
$$3\sqrt 2$$
D
$$2\sqrt {11}$$
2
JEE Main 2019 (Online) 10th January Evening Slot
+4
-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
A
an ellipse whose eccentricity is $${1 \over {\sqrt {r + 1} }},$$ where r > 1
B
an ellipse whose eccentricity is $${2 \over {\sqrt {r + 1} }},$$ where 0 < r < 1
C
an ellipse whose eccentricity is $${2 \over {\sqrt {r - 1} }},$$ where 0 < r < 1
D
an ellipse whose eccentricity is $$\sqrt {{2 \over {r + 1}}}$$, where r > 1
3
JEE Main 2019 (Online) 10th January Morning Slot
+4
-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) ?
A
(1, 1, 3)
B
(1, 1, 0)
C
$$\left( {{1 \over 2},2,0} \right)$$
D
$$\left( {{1 \over 2},2,3} \right)$$
4
JEE Main 2019 (Online) 10th January Morning Slot
+4
-1
The equation of a tangent to the hyperbola 4x2 – 5y2 = 20 parallel to the line x – y = 2 is -
A
x $$-$$ y + 9 = 0
B
x $$-$$ y $$-$$ 3 = 0
C
x $$-$$ y + 1 = 0
D
x $$-$$ y + 7 = 0
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