" The point on the curve "xy^(2)=1" ,which is nearest to the origin is "(alpha,beta)" then the value of "| alpha beta|" equals "

If the point on the curve y ^(2) = 6x, nearest to the point ( 3, (3)/(2)) is ( alpha, beta) then 2 ( alpha + beta) is equal to _________.

If alpha+beta=90^@ and alpha=2beta , then the value of 3cos^2alpha-2sin^2beta is equal to:

If sin alpha sin beta-cos alpha cos beta+1=0, then the value of 1+cot alpha tan beta is

If the coefficient of x^(14) in the expansion of (4x^(2)+x+1)^(8) is alpha xx4^(beta), then the value of (alpha+beta) is equal to (where alpha and beta are relatively prime to each other and beta>1)

If (alpha,beta) is the centre of the circle which touches the curve x^(2)+xy-y^(2)=4 at (2,2) and the line 3x-y+6=0 ,then the value of alpha+beta is equal to

reflection of the point (alpha, beta, gamma) in the XY-plane is :