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
A piece of cheese is located at 12,10 in a coordinate plane. A mouse is at 4,2 and is running up the line y=5x+18 to get closer to the piece of cheese. At the point a,b , the mouse starts getting farther from the cheese rather than closer to it. Then the value of a+b is
MathematicsStraight LinesJEE Main
Options:
  • A 6
  • B 10
  • C 18
  • D 14
Solution:
2254 Upvotes Verified Answer
The correct answer is: 10
a,b is the foot of the perpendicular from  12,10 on the line y+5x=18


           


⇒   a - 1 2 5 = b - 1 0 1 = - 1 0 + 5 1 2 - 1 8 2 6

⇒   a, b = 2, 8

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.