Intersection of lines and concurrency

JEE Main Mathematics · Straight Lines · 5 questions, latest first

• Let A(1,2) and C(-3,-6) be two diagonally opposite vertices of a rhombus, whose sides AD and BC are parallel to the line 7…202623 January, Shift 2 · Q13
• Let the lines 3 x-4 y-α=0,8 x-11 y-33=0, and 2 x-3 y+λ=0 be concurrent. If the image of the point (1,2) in the line 2 x-3 y+λ=0…202524 January, Shift 1 · Q9
• If the sum of squares of all real values of α, for which the lines 2 x-y+3=0,6 x+3 y+1=0 and α x+2 y-2=0 do not form a triangle…202427 January, Shift 2 · Q23
• Let the equations of two adjacent sides of a parallelogram A B C D be 2 x-3 y=-23 and 5 x+4 y=23. If the equation of its one…202310 April, Shift 2 · Q28
• Let B and C be the two points on the line y+x=0 such that B and C are symmetric with respect to the origin. Suppose A is a point…202329 January, Shift 1 · Q72