VITEEE 2025 | Straight Lines and Pair of Straight Lines Question 1 | Mathematics

The equation of the line, where length of the perpendicular segment from the origin to the line is 4 and the inclination of the perpendicular segment with the positive direction of $X$-axis is $30^{\circ}$.

$y+\sqrt{3} x=8$

$y-\sqrt{3} x=8$

$y+\sqrt{2 x}=4 \sqrt{3}$

$y-\sqrt{2 x}=4 \sqrt{3}$

VITEEE 2025

MCQ (Single Correct Answer)

-1

The equation of a straight line passing through $(1,2)$ and having intercept of length 3 between the straight lines $3 x+4 y=24$ and $3 x+4 y=12$ is

$7 x+24 y-55=0$

$24 x+7 y-38=0$

$24 x-7 y-10=0$

$7 x-24 y+41=0$

VITEEE 2022

MCQ (Single Correct Answer)

-1

A ray of light is sent along the line $$x-2 y+5=0$$. Upon reaching the line $$3 x-2 y+7=0$$, the ray is reflected from it. The equation of the line containing the reflected ray, is

$$2 x-29 y+33=0$$

$$29 x-2 y+33=0$$

$$2 x+29 y-33=0$$

$$29 x+2 y-33=0$$

VITEEE 2021

MCQ (Single Correct Answer)

-1

The equation of a straight line which cuts off intercept on $$X$$-axis which is twice that on $$Y$$-axis and is at a unit distance from origin is given by

$$x+y=0$$

$$x+2 y \pm \sqrt{2}=0$$

$$x+2 y \pm \sqrt{5}=0$$

$$x+\sqrt{5} y \pm 2=0$$

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