Home
Class 12
MATHS
The number of ordered pairs which satisf...

The number of ordered pairs which satisfy the equation `x^2+2xsin(x y)+1=0` are (where `y in [0,2pi]` ) 1 (b) 2 (c) 3 (d) 0

Text Solution

Verified by Experts

The correct Answer is:
`x=pm1 y=2bpi-(pi)/(2)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETIC EQUATIONS

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) (LEVEL 1) (FILL IN THE BLANKS )|3 Videos

  • TRIGONOMETIC EQUATIONS

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) (LEVEL II)|16 Videos

  • TRIGONOMETIC EQUATIONS

    FIITJEE|Exercise EXERCISE|5 Videos

  • TRIGNOMETRIC RATIOS AND IDENTITIES

    FIITJEE|Exercise All Questions|1 Videos

  • VECTOR

    FIITJEE|Exercise NUMERICAL BASED|4 Videos

Similar Questions

Explore conceptually related problems

The number of ordered pairs which satisfy the equation x^(2)+2x sin(xy)+1=0 are (where y in[0,2 pi])1( b) 2(c)3(d)0

Number of ordered pair (x,y) which satisfies the relation (x^(4)+1)/(8x^(2))=sin^(2)y*cos^(2) y , where y in [0,2pi]

Number of ordered pairs (a,x) satisfying the equation sec^(2)(a+2)x+a^(2)-1=0;-pi

Number of ordered pair (x, y) satisfying x^(2)+1=y and y^(2)+1=x is

The number of ordered pair(s) (x .y) satisfying the equationssin x*cos y=1 and x^(2)+y^(2)<=9 pi^(2) is/are

The number of ordered pair(s) (x, y) of real numbers satisfying the equation 1+x^(2)+2x sin(cos^(-1)y)=0 , is :

The total number of ordered pairs (x, y) satisfying |y|=cosx and y=sin^(-1)(sinx) , where x in [-2pi, 3pi] is equal to :