JEE Main 2018 — Straight Lines Question with Solution
JEE Main 2018 (15 Apr Shift 1 Online)
Question
In a triangle , coordianates of are and the equations of the medians through and are and respectively. Then area of (in sq. units) is
Choose an option
Show full solutionCorrect option: B
Correct answer
B9
Step-by-step explanation
Median through is
So the coordianate of is 4 . let , then the midpoint of and is which lies on the median through .
Now . So, . The centroid of the triangle is the intersection of the mesians. Here the medians and and intersect at . The area of triangle
Now . So, . The centroid of the triangle is the intersection of the mesians. Here the medians and and intersect at . The area of triangle
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This is a previous-year question from JEE Main 2018, 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.