In which Indian state is the dance form 'Kaikottikali'

I. 40x² + 81x + 35 = 0

II. 63y² + 103y + 42 = 0

I. p² – 15p + 56 = 0

II. q² + 2q – 63 = 0

I. x² + 11x + 24 = 0

II. y² + 17y + 72 = 0

I. x² – 13x + 36 = 0

II. 3y² – 29y + 18 = 0

I. 2y² + 31y + 99 = 0

II. 4x² + 8x – 45 = 0

I. x² + 3x – 154 = 0

II. y² + 5y – 126 = 0

I. 2x² - 15x + 25 = 0

II. 3y² - 10y + 8 = 0

I. 6x² + 77x + 121 = 0

II. y² + 9y - 22 = 0

If x^2 - 7x + k = 0 has roots that are equal, what is the value of k?

I.  2^(x+2)+ 2^(-x)=5

II.  (1/(y+1)+ 1/(y+5))=(1/(y+2)+  1/(y+4))