1
JEE Main 2019 (Online) 10th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If the area enclosed between the curves y = kx2 and x = ky2, (k > 0), is 1 square unit. Then k is -
A
$$\sqrt 3 $$
B
$${{\sqrt 3 } \over 2}$$
C
$${2 \over {\sqrt 3 }}$$
D
$${1 \over {\sqrt 3 }}$$
2
JEE Main 2019 (Online) 10th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let  $${\rm I} = \int\limits_a^b {\left( {{x^4} - 2{x^2}} \right)} dx.$$  If I is minimum then the ordered pair (a, b) is -
A
$$\left( {\sqrt 2 , - \sqrt 2 } \right)$$
B
$$\left( {0,\sqrt 2 } \right)$$
C
$$\left( { - \sqrt 2 ,\sqrt 2 } \right)$$
D
$$\left( { - \sqrt 2 ,0} \right)$$
3
JEE Main 2019 (Online) 10th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let z1 and z2 be any two non-zero complex numbers such that   $$3\left| {{z_1}} \right| = 4\left| {{z_2}} \right|.$$  If  $$z = {{3{z_1}} \over {2{z_2}}} + {{2{z_2}} \over {3{z_1}}}$$  then :
A
$${\rm I}m\left( z \right) = 0$$
B
$$\left| z \right| = \sqrt {{17 \over 2}} $$
C
$$\left| z \right| =$$ $${1 \over 2}\sqrt {9 + 16{{\cos }^2}\theta } $$
D
Re(z) $$=$$ 0
4
JEE Main 2019 (Online) 10th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The sum of all two digit positive numbers which when divided by 7 yield 2 or 5 as remainder is -
A
1356
B
1256
C
1365
D
1465
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