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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Mathematics
Chapter
Trigonometric Equations

NTA Abhyas 2020 · Mathematics · Trigonometric Equations

The number of ordered pairs ( x, y ) satisfying the equations y =...

The number of ordered pairs (x,y)( x, y ) satisfying the equations y=2sinxandy=5x2+2x+3y = 2sin xandy = 5{x}^{2} + 2x + 3 is/are

Options

  1. A00
  2. B11
  3. C22
  4. DInfinite

Correct answer

A. 00

Step-by-step solution

2sinx=5x2+2x+32sin x = 5{x}^{2} + 2x + 3

⇒2sinx=4x2+(x+1)2+2⇒ 2sin x = 4{x}^{2} + {\left(x + 1\right)}^{2} + 2

But, 2sinx≤22sin x \le 2

and 4x2+(x+1)2+2>24{x}^{2} + {\left(x + 1\right)}^{2} + 2 > 2, so it has no solution
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