Find the interval of `alpha` for which `(alpha, alpha^2, alpha) and (3, 2, 1)` lies on same side of `x+y-4z+2=0`.

Find A^2 if A = [(cos alpha, sinalpha),(-sin alpha, cos alpha)]

If sin 3 alpha =4 sin alpha sin (x+alpha ) sin(x-alpha ) , then

If sin (3alpha) /cos(2alpha) < 0 If alpha lies in

Number of integral values of 'alpha' for which the point (7-(5)/(4)alpha, alpha) lies inside the ellipse (x^(2))/(25)+(y^(2))/(16) =1 is

Find the value of parameter alpha for which the function f(x)=1+alpha\ x , alpha!=0 is the inverse of itself.

Find all the values of alpha for which : sin^4 x + cos^4 x + sin 2x +alpha =0 is valid.

If 4nalpha =pi then cot alpha cot 2 alpha cot 3alpha ...cot (2n-1)alpha n in Z is equal to

Statement I Reflection of the point (5,1) in the line x+y=0 is (-1,-5) Statement II Reflection of a point P(alpha,beta) in the line ax+by+c= 0 is Q (alpha',beta' ) " if " ((alpha +alpha')/2 ,(beta +beta' )/2) lies on the line .

If A((sin alpha)/3 - 1,(cos alpha)/2 - 1) and B(1,1) alpha in [ -pi,pi] are two points on the same side of the line 3x - 2y +1 = 0 then alpha belongs to the interval

If f(x+y)=f(x).f(y) for all x and y, f(1) =2 and alpha_(n)=f(n),n""inN , then the equation of the circle having (alpha_(1),alpha_(2))and(alpha_(3),alpha_(4)) as the ends of its one diameter is