JEE Main 2022 — Straight Lines Questions with Solutions

For t ∈ 0 , 2 π , if A B C is an equilateral triangle with vertices A sin t , - cos t , B cos t , sin t and…

Let a triangle be bounded by the lines L 1 : 2 x + 5 y = 10 ; L 2 : - 4 x + 3 y = 12 and the line L 3 , which passes th…

The equations of the sides A B , B C and C A of a triangle A B C are 2 x + y = 0 , x + p y = 15 a and x - y = 3 respect…

Let the area of the triangle with vertices A 1 , α , B α , 0 and C 0 , α be 4 sq. units. If the points &…

In an isosceles triangle A B C , the vertex A is 6 , 1 and the equation of the base B C is 2 x + y = 4 . Let the point…

Let R be the point 3 , 7 and let P and Q be two points on the line x + y = 5 such that P Q R is an equilateral triangle…

Let A α , - 2 , B α , 6 and C α 4 , - 2 be vertices of a ∆ A B C . If 5 , α 4 is the circumce…

Let the point P α , β be at a unit distance from each of the two lines L 1 : 3 x - 4 y + 12 = 0 , and L 2 : 8…

The distance between the two points A and A ' which lie on y = 2 such that both the line segments A B and A ' B (where…

A ray of light passing through the point P 2 , 3 reflects on the X -axis at point A and the reflected ray passes throug…