1
JEE Main 2015 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
If m is the A.M. of two distinct real numbers l and n $$(l,n > 1)$$ and $${G_1},{G_2}$$ and $${G_3}$$ are three geometric means between $$l$$ and n, then $$G_1^4\, + 2G_2^4\, + G_3^4$$ equals:
A
$$4\,lm{n^2}$$
B
$$4\,{l^2}{m^2}{n^2}$$
C
$$4\,{l^2}m\,n$$
D
$$4\,l\,{m^2}n$$
2
JEE Main 2015 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
The number of integers greater than 6,000 that can be formed, using the digits 3, 5, 6, 7 and 8, without repetition, is:
A
120
B
72
C
216
D
192
3
JEE Main 2015 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
A complex number z is said to be unimodular if $$\,\left| z \right| = 1$$. Suppose $${z_1}$$ and $${z_2}$$ are complex numbers such that $${{{z_1} - 2{z_2}} \over {2 - {z_1}\overline {{z_2}} }}$$ is unimodular and $${z_2}$$ is not unimodular. Then the point $${z_1}$$ lies on a :
A
circle of radius 2.
B
circle of radius $${\sqrt 2 }$$.
C
straight line parallel to x-axis
D
straight line parallel to y-axis.
4
JEE Main 2015 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
Let A and B be two sets containing four and two elements respectively. Then, the number of subsets of the set A $\times$ B , each having atleast three elements are
A
219
B
256
C
275
D
510
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