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QJEEM24Ma777c: JEE Main 2024 Mathematics - Class 11 JEEM24Ma777c Solution: The vertices of a triangle are A ( − 1 , 3 ) , B ( − 2 , 2 )…

The vertices of a triangle are A(−1,3),B(−2,2) and C(3,−1). A new triangle is formed by shifting the sides of the triangle by one unit inwards. Then the equation of the side of the new triangle nearest to origin is :

Multiple Choice Options

  • A −x+y−(2−2)=0
  • B x+y−(2−2)=0
  • C x+y+(2−2)=0
  • D x−y−(2+2)=0

Step-by-Step Verified Solution

JEE Main 2024 (Online) 4th April Morning Shift Mathematics - Straight Lines and Pair of Straight Lines Question 18 English Explanation

Equation of AC:x+y=2

Equation of AB:x−y+4=0

Equation of BC:3x+5y=4

The line nearest to origin is parallel to AC and inward. Let its equation is x+y=C.

∴|C−22|=1

∴C=2−2

∴ required equation line is :

x+y−(2−2)=0

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