JEE Main 2026 — Straight Lines Question with Solution
JEE Main 2026 (24 January Shift 1)
Question
Let and be three points. If the equation of the bisector of the angle ABC is , then the value of is
Choose an option
Show full solutionCorrect option: B
Correct answer
B10
Step-by-step explanation
For angle bisector of angle ABC where A(1,0), B(2,-1), C(, ).
Direction BA: , unit vector
Direction BC: , magnitude , unit vector
Angle bisector direction (sum of unit vectors): → direction
Normal to bisector: . Bisector passes through B(2, -1):
→
Therefore , , so
Direction BA: , unit vector
Direction BC: , magnitude , unit vector
Angle bisector direction (sum of unit vectors): → direction
Normal to bisector: . Bisector passes through B(2, -1):
→
Therefore , , so
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This is a previous-year question from JEE Main 2026, covering the Straight Lines chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.