1
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The sine of the angle between the straight line $${{x - 2} \over 3} = {{y - 3} \over 4} = {{z - 4} \over 5}$$ and the plane $$2x - 2y + z = 5$$ is
A
$${{2\sqrt 3 } \over 5}$$
B
$${{\sqrt 2 } \over {10}}$$
C
$${4 \over {5\sqrt 2 }}$$
D
$${{\sqrt 5 } \over 6}$$
2
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
Let f(x) = sin x + cos ax be periodic function. Then,
A
a is any real number
B
a is any irrational number
C
a is rational number
D
a = 0
3
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The domain of $$f(x) = \sqrt {\left( {{1 \over {\sqrt x }} - \sqrt {x + 1} } \right)} $$ is
A
$$x > - 1$$
B
$$( - 1,\infty )\backslash \{ 0\} $$
C
$$\left( {0,{{\sqrt 5 - 1} \over 2}} \right]$$
D
$$\left[ {{{1 - \sqrt 5 } \over 2},0} \right)$$
4
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
Let $$y = f(x) = 2{x^2} - 3x + 2$$. The differential of y when x changes from 2 to 1.99 is
A
0.01
B
0.18
C
$$ - $$0.05
D
0.07
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