1
JEE Main 2017 (Online) 8th April Morning Slot
+4
-1
Let z$$\in$$C, the set of complex numbers. Then the equation, 2|z + 3i| $$-$$ |z $$-$$ i| = 0 represents :
A
a circle with radius $${8 \over 3}.$$
B
a circle with diameter $${{10} \over 3}.$$
C
an ellipse with length of major axis $${{16} \over 3}.$$
D
an ellipse with length of minor axis $${{16} \over 9}.$$
2
JEE Main 2017 (Online) 8th April Morning Slot
+4
-1
The locus of the point of intersection of the straight lines,

tx $$-$$ 2y $$-$$ 3t = 0

x $$-$$ 2ty + 3 = 0 (t $$\in$$ R), is :
A
an ellipse with eccentricity $${2 \over {\sqrt 5 }}$$
B
an ellipse with the length of major axis 6
C
a hyperbola with eccentricity $$\sqrt 5$$
D
a hyperbola with the length of conjugate axis 3
3
JEE Main 2017 (Online) 8th April Morning Slot
+4
-1
If two parallel chords of a circle, having diameter 4units, lie on the opposite sides of the center and subtend angles $${\cos ^{ - 1}}\left( {{1 \over 7}} \right)$$ and sec$$-$$1 (7) at the center respectivey, then the distance between these chords, is :
A
$${4 \over {\sqrt 7 }}$$
B
$${8 \over {\sqrt 7 }}$$
C
$${8 \over 7}$$
D
$${16 \over 7}$$
4
JEE Main 2017 (Online) 8th April Morning Slot
+4
-1
If the common tangents to the parabola, x2 = 4y and the circle, x2 + y2 = 4 intersect at the point P, then the distance of P from the origin, is :
A
$$\sqrt 2 + 1$$
B
2(3 + 2 $$\sqrt 2$$)
C
2($$\sqrt 2$$ + 1)
D
3 + 2$$\sqrt 2$$
JEE Main Subjects
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Coordinate Geometry
Calculus
EXAM MAP
Joint Entrance Examination