For `0ltx ,yltpi,`the number of ordered pairs `(x, y)` satisfying system equations `cot^2(x-y)-(1+sqrt(3))cot(x-y)+sqrt(3)="0 and cosy="(sqrt(3))/2`is

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 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

Find the number ordered pairs (x ,y)ifx ,y in {0,1,2,3, , 10}a n dif|x-y|> 5.

If x , y , z are natural numbers such that cot^(-1)x+cot^(-1)y=cot^(-1)z then the number of ordered triplets (x , y , z) that satisfy the equation is (a)0 (b) 1 (c) 2 (d) Infinite solutions

The solutions of the system of equations sin x sin y=sqrt(3)/4, cos x cos y= sqrt(3)/4 are

The length of the chord of the parabola x^(2) = 4y having equations x - sqrt(2) y + 4 sqrt(2) = 0 is

The value of x in (0,pi/2) satisfying (sqrt(3)-1)/(sinx)+(sqrt(3)+1)/(cosx)=4sqrt(2) is / are

Determine the smallest positive value of x which satisfy the equation sqrt(1+sin2x)-sqrt(2)cos3x=0