WB JEE 2018 | Parabola Question 32 | Mathematics

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MCQ (Single Correct Answer)

+2

-0.5

Consider the parabola y² = 4x. Let P and Q be points on the parabola where P(4, $$-$$ 4) and Q(9, 6). Let R be a point on the arc of the parabola between P and Q. Then, the area of $$\Delta$$PQR is largest when

A

$$\angle$$PQR = 90$$^\circ$$

B

R(4, 4)

C

R$$\left( {{1 \over 4},1} \right)$$

D

R$$\left( {1,{1 \over 4}} \right)$$

2

WB JEE 2017

MCQ (Single Correct Answer)

+1

-0.25

The axis of the parabola $${x^2} + 2xy + {y^2} - 5x + 5y - 5 = 0$$ is

A

$$x + y = 0$$

B

$$x + y - 1 = 0$$

C

$$x - y + 1 = 0$$

D

$$x - y = {1 \over {\sqrt 2 }}$$

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