WB JEE 2018 | Parabola Question 30 | Mathematics

WB JEE 2018

MCQ (More than One Correct Answer)

-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

$$ - {1 \over r}$$

$${1 \over r}$$

$${2 \over r}$$

$$ - {2 \over r}$$

WB JEE 2018

MCQ (More than One Correct Answer)

-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

8$$\pi$$a²

$${a^2}\left( {{\pi \over 4} - {2 \over 3}} \right)$$

$${{16\pi {a^2}} \over 9}$$

$$\pi \left( {{{27} \over 8} + 3{a^2}} \right)$$

WB JEE 2017

MCQ (More than One Correct Answer)

-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

$$t = - \cos ec\theta $$

$$t = - \sec \theta $$

$$t = 2\tan \theta $$

$$t = 2\cot \theta $$

WB JEE 2017

MCQ (More than One Correct Answer)

-0

The focus of the conic x² $$-$$ 6x + 4y + 1 = 0 is

(2, 3)

(3, 2)

(3, 1)

(1, 4)

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