Angle bisectors

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

• Let the line L_1: x+3=0 intersect the lines L_2: x-y=0 and L_3: 3 x+y=0 at the points A and B, respectively. Let the bisector of…20264 April, Shift 1 · Q11
• Let A(1,0), B(2,-1) and C(7/3, 4/3) be three points. If the equation of the bisector of the angle ABC is α x+β y=5, then the…202624 January, Shift 1 · Q13
• If x^2-y^2+2 h x y+2 g x+2 f y+c=0 is the locus of a point, which moves such that it is always equidistant from the lines x+2…202430 January, Shift 2 · Q16
• In a A B C, suppose y=x is the equation of the bisector of the angle B and the equation of the side A C is 2 x-y=2. If 2 A B=B C…202429 January, Shift 1 · Q15
• If the line l_1: 3 y-2 x=3 is the angular bisector of the lines l_2: x-y+1=0 and l_3: α x+β y+17=0, then α^2+β^2-α-β is equal to…202311 April, Shift 2 · Q26