Verified Solution • 2025–26 Session moderate

QJEEM19Ma6eb6: JEE Main 2019 Mathematics - Class 11 JEEM19Ma6eb6 Solution: The equation y = sinx sin (x + 2) – sin 2 (x + 1) represents a…

The equation y = sinx sin (x + 2) – sin2 (x + 1) represents a straight line lying in :

Multiple Choice Options

  • A first, second and fourth quadrants
  • B first, third and fourth quadrants
  • C second and third quadrants only
  • D third and fourth quadrants only

Step-by-Step Verified Solution

y = sinx.sin(x+2) - sin2(x+1)

⇒12{2sin⁡(x+2)sin⁡x−2sin2(x+1)}

⇒12{cos⁡2−cos⁡(2x+2)+cos(2x+2)−1}=−sin21<0

Hence the line passes through III and IV quadrant

Related Learning Resources & Exam Preparation