1
JEE Main 2017 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
Which of the following compounds will behave as a reducing sugar in an aqueous KOH solution?
A
JEE Main 2017 (Offline) Chemistry - Biomolecules Question 128 English Option 1
B
JEE Main 2017 (Offline) Chemistry - Biomolecules Question 128 English Option 2
C
JEE Main 2017 (Offline) Chemistry - Biomolecules Question 128 English Option 3
D
JEE Main 2017 (Offline) Chemistry - Biomolecules Question 128 English Option 4
2
JEE Main 2017 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
The function $$f:R \to \left[ { - {1 \over 2},{1 \over 2}} \right]$$ defined as

$$f\left( x \right) = {x \over {1 + {x^2}}}$$, is
A
invertible
B
injective but not surjective.
C
surjective but not injective
D
neither injective nor surjective.
3
JEE Main 2017 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
Let $$\omega $$ be a complex number such that 2$$\omega $$ + 1 = z where z = $$\sqrt {-3} $$. If

$$\left| {\matrix{ 1 & 1 & 1 \cr 1 & { - {\omega ^2} - 1} & {{\omega ^2}} \cr 1 & {{\omega ^2}} & {{\omega ^7}} \cr } } \right| = 3k$$,

then k is equal to :
A
z
B
-1
C
1
D
-z
4
JEE Main 2017 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
If $$A = \left[ {\matrix{ 2 & { - 3} \cr { - 4} & 1 \cr } } \right]$$,

then adj(3A2 + 12A) is equal to
A
$$\left[ {\matrix{ {51} & {63} \cr {84} & {72} \cr } } \right]$$
B
$$\left[ {\matrix{ {51} & {84} \cr {63} & {72} \cr } } \right]$$
C
$$\left[ {\matrix{ {72} & {-63} \cr {-84} & {51} \cr } } \right]$$
D
$$\left[ {\matrix{ {72} & {-84} \cr {-63} & {51} \cr } } \right]$$
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