1
JEE Main 2017 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If $$\,\,\,$$ f$$\left( {{{3x - 4} \over {3x + 4}}} \right)$$ = x + 2, x $$ \ne $$ $$-$$ $${4 \over 3}$$, and

$$\int {} $$f(x) dx = A log$$\left| {} \right.$$1 $$-$$ x $$\left| {} \right.$$ + Bx + C,

then the ordered pair (A, B) is equal to :

(where C is a constant of integration)
A
$$\left( {{8 \over 3},{2 \over 3}} \right)$$
B
$$\left( { - {8 \over 3},{2 \over 3}} \right)$$
C
$$\left( { - {8 \over 3}, - {2 \over 3}} \right)$$
D
$$\left( { {8 \over 3}, - {2 \over 3}} \right)$$
2
JEE Main 2017 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
A square, of each side 2, lies above the x-axis and has one vertex at the origin. If one of the sides passing through the origin makes an angle 30o with the positive direction of the x-axis, then the sum of the x-coordinates of the vertices of the square is :
A
$$2\sqrt 3 - 1$$
B
$$2\sqrt 3 - 2$$
C
$$\sqrt 3 - 2$$
D
$$\sqrt 3 - 1$$
3
JEE Main 2017 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let f be a polynomial function such that

f (3x) = f ' (x) . f '' (x), for all x $$ \in $$ R. Then :
A
f (2) + f ' (2) = 28
B
f '' (2) $$-$$ f ' (2) = 0
C
f '' (2) $$-$$ f (2) = 4
D
f (2) $$-$$ f ' (2) + f '' (2) = 10
4
JEE Main 2017 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
A line drawn through the point P(4, 7) cuts the circle x2 + y2 = 9 at the points A and B. Then PA⋅PB is equal to :
A
53
B
56
C
74
D
65
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