WB JEE 2020 | Parabola Question 31 | Mathematics

WB JEE 2020

MCQ (Single Correct Answer)

-0.5

If the line y = x is a tangent to the parabola y = ax² + bx + c at the point (1, 1) and the curve passes through ($$ - $$1, 0), then

a = b = $$ - $$1, c = 3

a = b = $${1 \over 2}$$, c = 0

a = c = $${1 \over 4}$$, b = $${1 \over 2}$$

a = 0, b = c = $${1 \over 2}$$

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

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