Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
Let A1=3, A2=5  and A1+A2=5. The value of 2A1+3A23A1-2A2 is:
PhysicsMathematics in PhysicsJEE MainJEE Main 2019 (08 Apr Shift 2)
Options:
  • A -112.5
  • B -118.5
  • C -106.5
  • D -99.5
Solution:
2157 Upvotes Verified Answer
The correct answer is: -118.5
A1+A2=5
A1+A22=25
A12+A22+2A1A2=25
9+25+2A1A2=25
A1.A2=-92
Now, 2A1+3A23A1-2A2=6A12-4A1A2+9A1A2-6A22
=6.A12+5A1A2-6A22
=6×9+5-92-6×25
=54-452-150
= -118.5

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.