JEE Main Maths · Straight Lines

Straight Line Distance in JEE Main

Name: Straight Line Distance: JEE Main previous year questions
Creator: Lumi

Straight Line Distance (Maths, Straight Lines) came 19 times in 19 of the 42 JEE Main shifts Lumi analysed, across 14 distinct ideas. 14 of them came in 2024–26; it was last asked in 2026.

Questions: 19; in 19 shifts
Ideas asked: 14; 4 asked more than once
Numerical answer: 2; 11% of its questions
Pattern: Asked most years; last asked 2026

Questions each year

In the shifts Lumi analysed for each year.

Difficulty and format

Easy 1Medium 15Hard 3

Format

Single correct17 Q
Numerical value2 Q

Ideas inside the topic

14 ideas

Image of a point in a line3 Q
Distance Measured Parallel to a Line2 Q
Chord Length via Perpendicular Distance2 Q
Incenter via Equidistance2 Q
Acute and Obtuse Angle Bisectors1 Q
Angle Bisector Locus via Distances1 Q
Reflection of a Line in a Line1 Q
Locus of Constant Distance Ratio1 Q
Extremum Distance to a Family of Lines1 Q
Distance from Normal Form1 Q
Distance between parallel lines1 Q
Section Ratio by a Line1 Q

Where it sits

Part of Straight Lines, which had 42 questions in all. Straight Line Distance accounts for 45% of them. In Lumi's JEE taxonomy it belongs to Coordinate Geometry.

Some questions sit in other chapters too: Conic Sections.

Every question

All 19 Straight Line Distance questions

Newest first, each with its options and official answer.

2 Apr 2026, Shift 1 · Q9Let the mid points of the sides of a triangle ABC be $\left(\frac{5}{2}, 7\right)$ , $\left(\frac{5}{2}, 3\right)$ and $(4, 5)$ . If its…MediumSingle correct
2 Apr 2026, Shift 2 · Q10Let a circle pass through the origin and its centre be the point of intersection of two mutually perpendicular lines…MediumSingle correct
4 Apr 2026, Shift 1 · Q11Let the line $L_1: x+3=0$ intersect the lines $L_2: x-y=0$ and $L_3: 3x+y=0$ at the points A and B, respectively. Let the bisector of the…MediumSingle correct
5 Apr 2026, Shift 2 · Q22From the point $(-1, -1)$ , two rays are sent making angles of $45^\circ$ with the line $x+y=0$ . These rays get reflected from the mirror…HardNumerical value
6 Apr 2026, Shift 1 · Q22Let the centre of the circle $x^2+y^2+2gx+2fy+25=0$ be in the first quadrant and lie on the line $2x-y=4$ . Let the area of an equilateral…MediumNumerical value
2 Apr 2025, Shift 2 · Q10Let the area of the triangle formed by a straight line $L : x + by + c = 0$ with co-ordinate axes be 48 square units. If the perpendicular…MediumSingle correct
3 Apr 2025, Shift 1 · Q13A line passes through the origin and makes equal angles with the positive coordinate axes. It intersects the lines…MediumSingle correct
3 Apr 2025, Shift 2 · Q10Consider the lines $x(3\lambda + 1) + y(7\lambda + 2) = 17\lambda + 5$ , $\lambda$ being a parameter, all passing through a point P. One of…MediumSingle correct
8 Apr 2025, Shift 2 · Q11Let $a$ be the length of a side of a square OABC with O being the origin. Its side OA makes an acute angle $\alpha$ with the positive…MediumSingle correct
6 Apr 2024, Shift 2 · Q14If the locus of the point, whose distances from the point $(2,1)$ and $(1,3)$ are in the ratio $5:4$ , is $ax^2+by^2+cxy+dx+ey+170=0$ , then…MediumSingle correct
9 Apr 2024, Shift 1 · Q14A ray of light coming from the point $P(1,2)$ gets reflected from the point Q on the $x$ -axis and then passes through the point $R(4,3)$ .…MediumSingle correct
29 Jan 2024, Shift 1 · Q15In a $\Delta ABC$ , suppose $y=x$ is the equation of the bisector of the angle $B$ and the equation of the side $AC$ is $2x-y=2$ . If…HardSingle correct
30 Jan 2024, Shift 2 · Q16If $x^2 - y^2 + 2hxy + 2gx + 2fy + c = 0$ is the locus of a point, which moves such that it is always equidistant from the lines…MediumSingle correct
31 Jan 2024, Shift 2 · Q15Let $A(a,b)$ , $B(3,4)$ and $C(-6,-8)$ respectively denote the centroid, circumcentre and orthocentre of a triangle. Then, the distance of…MediumSingle correct
6 Apr 2023, Shift 1 · Q12The straight lines $l_1$ and $l_2$ pass through the origin and trisect the line segment of the line $L: 9x+5y=45$ between the axes. If…MediumSingle correct
8 Apr 2023, Shift 2 · Q12Let $A(0, 1)$ , $B(1, 1)$ and $C(1, 0)$ be the mid-points of the sides of a triangle with incentre at the point $D$ . If the focus of the…HardSingle correct
25 Jul 2022, Shift 1 · Q12A line, with the slope greater than one, passes through the point $\mathrm{A}(4,3)$ and intersects the line $x-y-2=0$ at the point…MediumSingle correct
8 Jan 2020, Shift 1 · Q54Let two points be $A(1,-1)$ and $B(0,2)$ . If a point $P(x',y')$ be such that the area of $\Delta PAB=5$ sq. units and it lies on the line,…MediumSingle correct
6 Sep 2020, Shift 2 · Q64Let L denote the line in the $xy$ -plane with $x$ and $y$ intercepts as 3 and 1 respectively. Then the image of the point $(-1,-4)$ in this…EasySingle correct