1
WB JEE 2018
MCQ (More than One Correct Answer)
+1
-0.25
Let A, B the two distinct points on the parabola y2 = 4x. If the axis of the parabola touches a circle of radius r having AB as diameter, the slope of the line AB is
A
$$- {1 \over r}$$
B
$${1 \over r}$$
C
$${2 \over r}$$
D
$$- {2 \over r}$$
2
WB JEE 2018
MCQ (More than One Correct Answer)
+2
-0
The area of the region lying above X-axis, and included between the circle x2 + y2 = 2ax and the parabola y2 = ax, a > 0 is
A
8$$\pi$$a2
B
$${a^2}\left( {{\pi \over 4} - {2 \over 3}} \right)$$
C
$${{16\pi {a^2}} \over 9}$$
D
$$\pi \left( {{{27} \over 8} + 3{a^2}} \right)$$
3
WB JEE 2017
MCQ (More than One Correct Answer)
+2
-0
If the tangent to $${y^2} = 4ax$$ at the point $$(a{t^2},2at)$$ where | t | > 1 is a normal to $${x^2} - {y^2} = {a^2}$$ at the point $$(a\sec \theta ,a\tan \theta )$$, then
A
$$t = - \cos ec\theta$$
B
$$t = - \sec \theta$$
C
$$t = 2\tan \theta$$
D
$$t = 2\cot \theta$$
4
WB JEE 2017
MCQ (More than One Correct Answer)
+2
-0
The focus of the conic x2 $$-$$ 6x + 4y + 1 = 0 is
A
(2, 3)
B
(3, 2)
C
(3, 1)
D
(1, 4)
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