Quantrex AcademyPYQs with solutions · JEE · NEET · NDA

Home · JEE PYQs · IOQM · Straight Lines

JEE Straight Lines PYQs with Solutions

24 previous year questions from Straight Lines (JEE Main & Advanced IOQM) with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

24 questionsIOQMAnswers + solutions

About Straight Lines PYQs

Straight Lines has 24 previous year questions in the Quantrex Academy JEE Main & Advanced IOQM bank. The 24 questions in this list come from Olympiad workbook (24). Each question opens on its own page with the options, the correct answer and the worked solution where available.

Straight Lines questions with solutions

Let A B C be a triangle in the x y plane, where B is at the origin (0,0) . Let B C be produced to D such that B C: C D=1: 1, C A be produced to E such that C A: A E=1: 2 and A B

Olympiad workbook Solution View → 2

Let A B C D be a unit square. Suppose M and N are points on B C and C D respectively such that the perimeter of triangle M C N is 2 . Let O be the circumcentre of triangle M A N

Olympiad workbook Solution View → 3

An ant leaves the anthill for its morning exercise. It walks 4 feet east and then makes a 160^ ∘ turn to the right and walks 4 more feet. It then makes another 160^ ∘ turn to the

Olympiad workbook Solution View → 4

A bug travels in the coordinate plane moving only along the lines that are parallel to the x axis or y axis. Let A=(-3,2) and B(3,-2) . Consider all possible paths of the bug from

Olympiad workbook Solution View → 5

In parallelogram A B C D the longer side is twice the shorter side. Let X Y Z W be the quadrilateral formed by the internal bisectors of the angles of A B C D . If the area of X Y

Olympiad workbook Solution View → 6

In a rectangle A B C D, E is the midpoint of A B: F is point on A C such that B F is perpendicular to A C and F E perpendicular to B D . Suppose B C=8 3 . Find A B .

Olympiad workbook Solution View → 7

Consider a square A B C D of side length 16 . Let E, F be points on C D such that C E=E F=F D . Let the line BF and A E meet in M . The area of M A B is:

Olympiad workbook Solution View → 8

Let A B C D be a rectangle in which A B+B C+ C D=20 and A E=9 where E is the mid-point of the side B C . Find the area of the rectangle.

Olympiad workbook Solution View → 9

In the coordinate plane, a point is called a lattice point if both of its coordinates are integers. Let A be the point (12,84) . Find the number of right angled triangles A B C in

Olympiad workbook Solution View → 10

Three parallel lines L_1, L_2, L_3 are drawn in the plane such that the perpendicular distance between L_1 and L_2 is 3 and the perpendicular distance between L_2 and L_3 is also

Olympiad workbook Solution View → 11

If A B C D is a rectangle and P is a point inside it such that A P=33, B P=16, D P=63 . Find C P .

Olympiad workbook Solution View → 12

A point P in the interior of a regular hexagon is at distance 8,8,16 units from three consecutive vertices of the hexagon, respectively. If r is radius of the circumscribed circle

Olympiad workbook Solution View → 13

If A B C D is a rectangle and P is a point inside it such that A P=33, B P=16, D P=63 . Find C P .

Olympiad workbook Solution View → 14

A bug travels in the coordinate plane moving only along the lines that are parallel to the x axis or y axis. Let A=(-3,2) and B(3,-2) . Consider all possible paths of the bug from

Olympiad workbook Solution View → 15

Let A B C be a triangle in the x y plane, where B is at the origin (0,0) . Let B C be produced to D such that B C: C D=1: 1, C A be produced to E such that C A: A E=1: 2 and A B

Olympiad workbook Solution View → 16

Three parallel lines L_1, L_2, L_3 are drawn in the plane such that the perpendicular distance between L_1 and L_2 is 3 and the perpendicular distance between L_2 and L_3 is also

Olympiad workbook Solution View → 17

Let A B C D be a rectangle in which A B+B C+ C D=20 and A E=9 where E is the mid-point of the side B C . Find the area of the rectangle.

Olympiad workbook Solution View → 18

Let A B C D be a unit square. Suppose M and N are points on B C and C D respectively such that the perimeter of triangle M C N is 2 . Let O be the circumcentre of triangle M A N

Olympiad workbook Solution View → 19

In the coordinate plane, a point is called a lattice point if both of its coordinates are integers. Let A be the point (12,84) . Find the number of right angled triangles A B C in

Olympiad workbook Solution View → 20

Consider a square A B C D of side length 16 . Let E, F be points on C D such that C E=E F=F D . Let the line BF and A E meet in M . The area of M A B is:

Olympiad workbook Solution View → 21

In a rectangle A B C D, E is the midpoint of A B: F is point on A C such that B F is perpendicular to A C and F E perpendicular to B D . Suppose B C=8 3 . Find A B .

Olympiad workbook Solution View → 22

An ant leaves the anthill for its morning exercise. It walks 4 feet east and then makes a 160^ ∘ turn to the right and walks 4 more feet. It then makes another 160^ ∘ turn to the

Olympiad workbook Solution View → 23

A point P in the interior of a regular hexagon is at distance 8,8,16 units from three consecutive vertices of the hexagon, respectively. If r is radius of the circumscribed circle

Olympiad workbook Solution View → 24

In parallelogram A B C D the longer side is twice the shorter side. Let X Y Z W be the quadrilateral formed by the internal bisectors of the angles of A B C D . If the area of X Y

Olympiad workbook Solution View →

Practice all Straight Lines questions in the app →

Main Straight Lines list

The larger JEE Straight Lines list is under Mathematics (497 questions).

Related JEE IOQM chapters

Permutation and Combination (112)Basics of Mathematics (88)Properties of Triangles (64)Sequences and Series (38)Quadratic Equation (38)Circle (30)Functions (20)Binary Numbers (8)Vector Algebra (6)Binomial Theorem (6)

Straight Lines in other exams

BITSAT Straight Lines (27)