" the rocts of quisdratic equaticm "2 pi^(2)-x-6=0" .Arve: "

The sum ofall the roots of the equation 6sin^(2)x+sin x-1=0 in x in[0,2 pi] is

If 0 <= x <= pi, then the solution of the equation 16^(sin^2) x + 16 ^(cos^2) x = 10 is given by x equal to (i) pi/6,pi/3 (ii) pi/3,pi/2 (iii) pi/6,pi/2 (iv) none of these

Find the number of roots of the equation tan(x+(pi)/(6))=2tan x, for x in(0,3 pi)

The number of solutions of the equation cos 6 x + tan^(2) x + cos 6 x tan ^(2) x = 1 , in the interval [0, 2 pi] is

The number of solutions of the equation cos^(2)(x+(pi)/(6))+cos^(2)x-2cos(x+(pi)/(6))*cos(pi)/(6)=sin^(2)(pi)/(6) in interval ((-pi)/(2),(pi)/(2)) is

The number of solutions of the equation cos^2(x+pi/6)+cos^2x-2cos(x+pi/6)dotcospi/6=sin^2pi/6 in interval ((-pi)/2,pi/2) is_________

The number of solutions of the equation cos^2(x+pi/6)+cos^2x-2cos(x+pi/6)dotcospi/6=sin^2pi/6 in interval ((-pi)/2,pi/2) is_________

The number of solutions of the equation cos^(2) (x + (pi)/( 6)) + cos ^(2) x - 2 cos ( + (pi)/( 6)) co ""(pi)/( 6) = sin ^(2) (pi)/( 6) in interval ((-pi)/( 2), (pi)/( 2)) is _____

The area of the region bounded by y^(2) = 16 - x^(2), y = 0, x = 0 in the first quadrant is (in square units) a) 8pi b) 6pi c) 2pi d) 4pi