JEE Mains · Maths · STD 11 - 9. straight line
The equation \(y = \sin \,x\,\sin \,\left( {x + 2} \right) - {\sin ^2}\,\left( {x + 1} \right)\) represents a straight line lying in
- A first, third and fourth quadrants
- B first, second and fourth quadrants
- C third and fourth quadrants only
- D second and third quadrants only
Answer & Solution
Correct Answer
(C) third and fourth quadrants only
Step-by-step Solution
Detailed explanation
\(2y = 2\,\sin \,x\,\sin \,\left( {x + 2} \right) - \,{\sin ^2}\left( {x + 1} \right)\) \(2y = \cos \,2 - \cos \,\left( {2x + 2} \right) - \,\left( {1 - \cos \left( {2x + 2} \right)} \right)\) \( = \cos \,2 - 1\) \(2y = - 2{\sin ^2}\frac{1}{2}\)…
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