1
WB JEE 2017
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The expression $${{{{(1 + i)}^n}} \over {{{(1 - i)}^{n - 2}}}}$$ equals
A
$$ - {i^{n + 1}}$$
B
$${i^{n + 1}}$$
C
$$ - {2i^{n + 1}}$$
D
1
2
WB JEE 2017
MCQ (Single Correct Answer)
+1
-0.25
Change Language
Let z = x + iy, where x and y are real. The points (x, y) in the X-Y plane for which $${{{z + i} \over {z - i}}}$$ is purely imaginary, lie on
A
a straight line
B
an ellipse
C
a hyperbola
D
a circle
3
WB JEE 2017
MCQ (Single Correct Answer)
+1
-0.25
Change Language
If p, q are odd integers, then the roots of the equation $$2p{x^2} + (2p + q)x + q = 0$$ are
A
rational
B
irrational
C
non-real
D
equal
4
WB JEE 2017
MCQ (Single Correct Answer)
+1
-0.25
Change Language
Out of 7 consonants and 4 vowels, words are formed each having 3 consonants and 2 vowels. The number of such words that can be formed is
A
210
B
25200
C
2520
D
302400
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