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|Exercise Exercise (Statement I And Ii Type Questions)|6 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Matching Type Questions)|2 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Trigonometric Equations and Inequations Exercise 3 :Passage Based Questions|1 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Three Dimensional Coordinate System Exercise 12 : Question Asked in Previous Years Exam|2 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

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 pairs (x, y) , when x, y in [ 0, 10] satisfying (sqrt(sin^(2)x- sinx + 1/2))*2^(sec^(2)y) le 1 is

Find all number of pairs x,y that satisfy the equation tan^(4) x + tan^(4)y+2 cot^(2)x * cot^(2) y=3+ sin^(2)(x+y) .

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 all the pairs of x,y that satisfy the equation cosx+cosy+cos(x+y)=-3/2

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

If x,y in R and satisfy the equation xy(x^(2)-y^(2))=x^(2)+y^(2) where xne0 then the minimum possible value of x^(2)+y^(2) is

Solution of the equation cos^2x(dy)/(dx)-(tan2x)y=cos^4x , where |x|< pi/4 and y(pi/6)=(3sqrt(3))/8 is