Trigonometry
Inverse Trigonometric Functions
MCQ (Single Correct Answer)Subjective
1
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

If $${\log _3}x + {\log _3}y = 2 + {\log _3}2$$ and $${\log _3}(x + y) = 2$$, then

A
x = 1, y = 8
B
x = 8, y = 1
C
x = 3, y = 6
D
x = 9, y = 3
2
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

If $${\log _7}2 = \lambda $$, then the value of $${\log _{49}}(28)$$ is

A
$$(2\lambda + 1)$$
B
$$(2\lambda + 3)$$
C
$${1 \over 2}(2\lambda + 1)$$
D
$$2(2\lambda + 1)$$
3
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

The sequence log a, $$\log {{{a^2}} \over b}$$, $$\log {{{a^3}} \over {{b^2}}}$$, ...... is

A
a G.P.
B
an A.P.
C
a H.P.
D
both a G.P. and a H.P.
4
WB JEE 2024
MCQ (Single Correct Answer)
+1
-0.25

If $$\left(x^2 \log _x 27\right) \cdot \log _9 x=x+4$$ then the value of $$x$$ is

A
2
B
$$ -\frac{4}{3} $$
C
$$-$$2
D
$$ \frac{4}{3} $$
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