1
WB JEE 2017
MCQ (Single Correct Answer)
+2
-0.5
Change Language
Let A($$-$$ 1, 0) and B(2, 0) be two points. A point M moves in the plane in such a way that $$\angle MBA$$ = 2$$\angle MAB$$. Then, the point M moves along
A
a straight line
B
a parabola
C
an ellipse
D
a hyperbola
2
WB JEE 2017
MCQ (Single Correct Answer)
+2
-0.5
Change Language
If $$f(x) = \int_{ - 1}^x {|t|} \,dt$$, then for any $$x \ge 0,\,f(x)$$ is equal to
A
$${1 \over 2}(1 - {x^2})$$
B
$$1 - {x^2}$$
C
$${1 \over 2}(1 + {x^2})$$
D
$$1 + {x^2}$$
3
WB JEE 2017
MCQ (Single Correct Answer)
+2
-0.5
Change Language
Let for all x > 0, $$f(x) = \mathop {\lim }\limits_{n \to \infty } n({x^{1/n}} - 1)$$, then
A
$$f(x) + f\left( {{1 \over x}} \right) = 1$$
B
f(xy) = f(x) + f(y)
C
f(xy) = xf(y) + yf(x)
D
f(xy) = xf(x) + yf(y)
4
WB JEE 2017
MCQ (Single Correct Answer)
+2
-0.5
Change Language
Let $$I = \int_0^{100\pi } {\sqrt {(1 - \cos 2x)} } \,dx$$, then
A
I = 0
B
I = 200$$\sqrt 2 $$
C
I = $$\pi$$$$\sqrt 2 $$
D
I = 100
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