WB JEE 2022 | Straight Lines and Pair of Straight Lines Question 33 | Mathematics

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WB JEE 2022

MCQ (Single Correct Answer)

-0.25

If the sum of the distances of a point from two perpendicular lines in a plane is 1 unit, then its locus is

a square

a circle

a straight line

two intersecting lines

WB JEE 2021

MCQ (Single Correct Answer)

-0.25

If a > 0, b > 0 then the maximum area of the parallelogram whose three vertices are O(0, 0), A(a cos$$\theta$$, b sin$$\theta$$) and B(a cos$$\theta$$, $$-$$ b sin$$\theta$$) is

ab when $$\theta$$ = $${\pi \over 4}$$

3ab when $$\theta$$ = $${\pi \over 4}$$

ab when $$\theta$$ = $$-$$ $${\pi \over 2}$$

2ab

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

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

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

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

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

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