WB JEE 2018 | Parabola Question 29 | Mathematics

WB JEE 2018

MCQ (Single Correct Answer)

-0.25

Number of common tangents of y = x² and y = $$-$$x² + 4x $$-$$ 4 is

WB JEE 2018

MCQ (Single Correct Answer)

-0.25

Let P(at², 2at), Q, R(ar², 2ar) be three points on a parabola y² = 4ax. If PQ is the focal chord and PK, QR are parallel where the co-ordinates of K is (2a, 0), then the value of r is

$${t \over {1 - {t^2}}}$$

$${{1 - {t^2}} \over 1}$$

$${{{{t^2} + 1} \over t}}$$

$${{{{t^2} - 1} \over t}}$$

WB JEE 2018

MCQ (Single Correct Answer)

-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

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

R(4, 4)

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

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

WB JEE 2017

MCQ (Single Correct Answer)

-0.25

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

$$x + y = 0$$

$$x + y - 1 = 0$$

$$x - y + 1 = 0$$

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

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