The total number of ordered pairs (x, y)...

The total number of ordered pairs (x, y) satisfying `|x|+|y|=2, sin (pi x^(2)//3)=1`, is equal to

A

2

B

4

C

6

D

8

Verified by Experts

The correct Answer is:

B

TRIGONOMETRIC EQUATIONS
VK JAISWAL ENGLISH|Exercise Exercise-2 : One or More than One Answer is/are Correct|11 Videos
TRIGONOMETRIC EQUATIONS
VK JAISWAL ENGLISH|Exercise Exercise-3 : Comprehension Type Problems|3 Videos
STRAIGHT LINES
VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|10 Videos
VECTOR & 3DIMENSIONAL GEOMETRY
VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|13 Videos

Similar Questions

Explore conceptually related problems

The total number of ordered pairs (x , y) satisfying |x|+|y|=2,sin((pix^2)/3)=1, is equal to 2 (b) 3 (c) 4 (d) 6

2.The number of ordered pair(s) (x,y) satisfying y = 2 sinx and y = 5x² + 2x + 3 is equal to-

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

Total number of ordered pairs (x, y) satisfying |y| = cos x and y = sin^(-1) (sin x) where |x| leq3pi is equal to

If x, y in [0,2pi] then find the total number of order pair (x,y) satisfying the equation sinx .cos y = 1

The number of ordered pair (x, y) satisfying the equation sin^(2) (x+y)+cos^(2) (x-y)=1 which lie on the circle x^(2)+y^(2)=pi^(2) is _________.

The number of ordered pairs of integers (x,y) satisfying the equation x ^2+6x+y^2 =4 is

The number of ordered pairs (x, y) of real number satisfying 4x^2 - 4x + 2 = sin^2 y and x^2 + y^2 <= 3 equal to

Find the total no. of orderd pairs (x,y) satisfying x(sin^2 x+ 1/x^2)=2sinxsin^2y, where x in (-pi,0)uu(0,pi) and y in[0,2pi] .