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

" 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 _________.

Distance of point P on the curve y=x^(3//2) which is nearest to the point M (4, 0) from origin is

If the image of the point ( 1,-2,3) in the plane 2x + 3y -z =7 is the point ( alpha, beta , gamma ), then the value of alpha + beta + gamma is equal to

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

Which of the following points is the nearest to the origin?

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

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

Coordinates of points on curve 5x^(2) - 6xy +5y^(2) - 4 = 0 which are nearest to origin are