1
JEE Main 2020 (Online) 3rd September Morning Slot
MCQ (Single Correct Answer)
+4
-1
A hyperbola having the transverse axis of length $$\sqrt 2 $$ has the same foci as that of the ellipse 3x2 + 4y2 = 12, then this hyperbola does not pass through which of the following points ?
A
$$\left( {1, - {1 \over {\sqrt 2 }}} \right)$$
B
$$\left( {\sqrt {{3 \over 2}} ,{1 \over {\sqrt 2 }}} \right)$$
C
$$\left( { - \sqrt {{3 \over 2}} ,1} \right)$$
D
$$\left( {{1 \over {\sqrt 2 }},0} \right)$$
2
JEE Main 2020 (Online) 3rd September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Let P be a point on the parabola, y2 = 12x and N be the foot of the perpendicular drawn from P on the axis of the parabola. A line is now drawn through the mid-point M of PN, parallel to its axis which meets the parabola at Q. If the y-intercept of the line NQ is $${4 \over 3}$$, then :
A
MQ = $${1 \over 3}$$
B
PN = 4
C
PN = 3
D
MQ = $${1 \over 4}$$
3
JEE Main 2020 (Online) 2nd September Evening Slot
MCQ (Single Correct Answer)
+4
-1
The area (in sq. units) of an equilateral triangle inscribed in the parabola y2 = 8x, with one of its vertices on the vertex of this parabola, is :
A
$$256\sqrt 3 $$
B
$$64\sqrt 3 $$
C
$$128\sqrt 3 $$
D
$$192\sqrt 3 $$
4
JEE Main 2020 (Online) 2nd September Evening Slot
MCQ (Single Correct Answer)
+4
-1
For some $$\theta \in \left( {0,{\pi \over 2}} \right)$$, if the eccentricity of the
hyperbola, x2–y2sec2$$\theta $$ = 10 is $$\sqrt 5 $$ times the
eccentricity of the ellipse, x2sec2$$\theta $$ + y2 = 5, then the length of the latus rectum of the ellipse, is:
A
$$\sqrt {30} $$
B
$$2\sqrt 6 $$
C
$${{4\sqrt 5 } \over 3}$$
D
$${{2\sqrt 5 } \over 3}$$
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