1
JEE Main 2018 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
An alkali is titrated against an acid with methyl orange as indicator, which of the following is a correct combination?
A
Base Acid End point
Weak Strong Colourless to pink
B
Base Acid End point
Strong Strong Pinkish red to yellow
C
Base Acid End point
Weak Strong Yellow to pinkish red
D
Base Acid End point
Strong Strong Pink to colourless
2
JEE Main 2018 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
Two sets A and B are as under :

A = {($$a$$, b) $$ \in $$ R $$ \times $$ R : |$$a$$ - 5| < 1 and |b - 5| < 1};

B = {($$a$$, b) $$ \in $$ R $$ \times $$ R : 4($$a$$ - 6)2 + 9(b - 5)2 $$ \le $$ 36 };

Then
A
neither A $$ \subset $$ B nor B $$ \subset $$ A
B
B $$ \subset $$ A
C
A $$ \subset $$ B
D
A $$ \cap $$ B = $$\phi $$ ( an empty set )
3
JEE Main 2018 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
If $$\left| {\matrix{ {x - 4} & {2x} & {2x} \cr {2x} & {x - 4} & {2x} \cr {2x} & {2x} & {x - 4} \cr } } \right| = \left( {A + Bx} \right){\left( {x - A} \right)^2}$$

then the ordered pair (A, B) is equal to :
A
(4, 5)
B
(-4, -5)
C
(-4, 3)
D
(-4, 5)
4
JEE Main 2018 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
If the system of linear equations

x + ky + 3z = 0
3x + ky - 2z = 0
2x + 4y - 3z = 0

has a non-zero solution (x, y, z), then $${{xz} \over {{y^2}}}$$ is equal to
A
30
B
-10
C
10
D
-30
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