WB JEE 2022 | Straight Lines and Pair of Straight Lines Question 32 | Mathematics

WB JEE 2022

MCQ (Single Correct Answer)

-0.25

If the algebraic sum of the distances from the points (2, 0), (0, 2) and (1, 1) to a variable straight line be zero, then the line passes through the fixed point

($$-$$1, 1)

(1, $$-$$1)

($$-$$1, $$-$$1)

(1, 1)

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

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

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

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

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