1
WB JEE 2017
MCQ (Single Correct Answer)
+1
-0.25
Change Language
In a GP series consisting of positive terms, each term is equal to the sum of next two terms. Then, the common ratio of this GP series is
A
$${\sqrt 5 }$$
B
$${{\sqrt 5 - 1} \over 2}$$
C
$${{\sqrt 5 } \over 2}$$
D
$${{\sqrt 5 + 1} \over 2}$$
2
WB JEE 2017
MCQ (Single Correct Answer)
+1
-0.25
Change Language
If $$({\log _5}x)({\log _x}3x)({\log _{3x}}y) = {\log _x}{x^3}$$, then y equals
A
125
B
25
C
5/3
D
243
3
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
4
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
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