Home
Class 12
MATHS
Number of ordered pair (x,y) which satis...

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]`

Text Solution

Verified by Experts

The correct Answer is:
8
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|6 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Matching Type Questions)|2 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|13 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Three Dimensional Coordinate System Exercise 12 : Question Asked in Previous Years Exam|2 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|19 Videos

Similar Questions

Explore conceptually related problems

If x in[0,6 pi],y in[0,6 pi] then the number of ordered pair (x,y) which satisfy the equation sin^(-1)sin x+cos^(-1)cos y=(3 pi)/(2) are

Number of ordered pair (x ,y) which satisfy the equation 2sinx=y^2+2y+3 where x in [0,2pi],y in R is (1) 0 (2) 1 (3) 2 (4) infinite

Find the number solution are ordered pair (x,y) of the equation 2^(sec^(2)x)+2^("cosec"^(2)y)=2cos^(2)x(1-cos^(2)y) in [0,2pi]

The number of pairs (x,y) which will satisfy the equation x^2-x y+y^2=4(x+y-4) is

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

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

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

Find the number of ordered pairs of (x, y) satisfying the equation y = |sinx| and y = cos^(-1)(cosx) , where x in [-π, π]

The number of ordered pair(s) (x,y) which satisfy y=tan^(-1) tan x and 16(x^2+y^2)-48 pi x +16 pi y +31 pi^2=0 is