WB JEE 2022 | Straight Lines and Pair of Straight Lines Question 28 | Mathematics

WB JEE 2022

MCQ (More than One Correct Answer)

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Consider the equation $$y - {y_1} = m(x - {x_1})$$. If m and x₁ are fixed and different lines are drawn for different values of y₁, then

the lines will pass through a fixed point

there will be a set of parallel lines

all lines intersect the line x = x₁

all lines will be parallel to the line y = x₁

WB JEE 2020

MCQ (More than One Correct Answer)

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The equation of the straight line passing through the point (4, 3) and making intercepts on the coordinate axes whose sum is $$ - 1$$ is

$${x \over 2} - {y \over 3} = 1$$

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

$$ - {x \over 3} + {y \over 2} = 1$$

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

WB JEE 2019

MCQ (More than One Correct Answer)

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Straight lines x $$-$$ y = 7 and x + 4y = 2 intersect at B. Points A and C are so chosen on these two lines such that AB = AC. The equation of line AC passing through (2, $$-$$7) is

x $$-$$ y $$-$$ 9 = 0

23x + 7y + 3 = 0

2x $$-$$ y $$-$$ 11 = 0

7x $$-$$ 6y $$-$$ 56 = 0

WB JEE 2018

MCQ (More than One Correct Answer)

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The area of the triangle formed by the intersection of a line parallel to X-axis and passing through P(h, k), with the lines y = x and x + y = 2 is h². The locus of the point P is

x = y $$-$$ 1

x = $$-$$ (y $$-$$ 1)

x = 1 + y

x = $$-$$ (1 + y)

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