If the equation `sin^2 x-a sin x + b = 0` has only one solution in `(0, pi)` then which of the following statements are correct?

If sin^(2)x-asinx+b=0 has only one solution in (0,pi) then which of the following statemnets are correct?

Consider the following statements : 1. There exists at least one value of x between 0 and pi/2 which satisfies the equation sin^4x-2sin^2x-1=0 2. sin1*5 is greater than cos1*5 Which of the above statements is/are correct?

The equation |"sin" x| = "sin" x + 3"has in" [0, 2pi]

The equation |"sin" x| = "sin" x + 3"has in" [0, 2pi]

If the equation |sin x |^(2) + |sin x|+b =0 has two distinct roots in [0, pi][ then the number of integers in the range of b is equal to:

If the equation |sin x |^(2) + |sin x|+b =0 has two distinct roots in [0, pi][ then the number of integers in the range of b is equal to:

If the equation x^(2) + 12 + 3 sin (a + bx) + 6x = 0 has at least one real solution, when a, b in [0, 2 pi] , then the value of a = 3b is (n in Z)

If the equation a sin^(3)x+(b-s)sin^(2)x+(c-b)sin x=c =0 has exactly three distinct solutions in [0, pi] , where a + b + c = 0, then which of the following is not the possible value of c/a ?

If the equation a sin^(3)x+(b-s)sin^(2)x+(c-b)sin x=c =0 has exactly three distinct solutions in [0, pi] , where a + b + c = 0, then which of the following is not the possible value of c/a ?

If the equation a sin^(3)x+(b-s)sin^(2)x+(c-b)sin x=c =0 has exactly three distinct solutions in [0, pi] , where a + b + c = 0, then which of the following is not the possible value of c/a ?