WB JEE 2021 | Straight Lines and Pair of Straight Lines Question 36 | Mathematics

WB JEE 2021

MCQ (Single Correct Answer)

-0.25

Let A be the fixed point (0, 4) and B be a moving point on X-axis. Let M be the midpoint of AB and let the perpendicular bisector of AB meets the Y-axis at R. The locus of the midpoint P of MR is

y + x² = 2

$${x^2} + {(y - 2)^2} = {1 \over 4}$$

$${(y - 2)^2} - {x^2} = {1 \over 4}$$

$${x^2} + {y^2} = 16$$

WB JEE 2021

MCQ (Single Correct Answer)

-0.25

A moving line intersects the lines x + y = 0 and x $$-$$ y = 0 at the points A, B respectively such that the area of the triangle with vertices (0, 0), A and B has a constant area C. The locus of the mid-point AB is given by the equation

$${({x^2} + {y^2})^2} = {C^2}$$

$${({x^2} - {y^2})^2} = {C^2}$$

$${(x + y)^2} = {C^2}$$

$${(x - y)^2} = {C^2}$$

WB JEE 2021

MCQ (Single Correct Answer)

-0.25

A ray of light along $$x + \sqrt 3 y = \sqrt 3 $$ gets reflected upon reaching X-axis, the equation of the reflected ray is

$$y = x + \sqrt 3 $$

$$\sqrt 3 y = x - \sqrt 3 $$

$$y = \sqrt 3 x - \sqrt 3 $$

$$\sqrt 3 y = x - 1$$

WB JEE 2020

MCQ (Single Correct Answer)

-0.25

The equation $$r\,\cos \left( {\theta - {\pi \over 3}} \right) = 2$$ represents

a circle

a parabola

an ellipse

a straight line

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