`|{:( x -2, 2x -3, 3x -4), ( x-4, 2x - 9, 3x - 16), ( x-8, 2x - 27, 3x - 64):}|= 0,` then x is equal to: a)-2 b)3 c)-4 d)4

If A=[(x-1,0,2,5),(3,x^(2)-2,4,1),(-1,-2,x-3,1),(2,0,4,x^(2)-6)] and if Tr (A) = 0, then x is equal to

If |(x,3,6),(3,6,x),(6,x,3)|=|(2,x,7),(x,7,2),(7,2,x)|=|(4,5,x),(5,x,4),(x,4,5)|=0 , then x is equal to a)9 b)-9 c)0 c)-1

If g(x) = x^2 +x -2 and 1/2 (gof) (x) = 2x^2 - 5x +2 , then f(x) is equal to a) 2x -3 b) 2x+3 c) 2x^2 +3x +1 d) 2x^2 -3x -1

If 1 +sin x + sin ^(2) x + sin ^(3) x + ... to oo = 4 + 2 sqrt3, 0 lt x lt pi, then x is equal to : a) pi/6 b) pi/4 c) (3pi)/(4) d) (pi)/(3) or (2pi)/(3)

Let f(x)=-2x^(2)+1 and g(x)=4x-3 then (gof)(-1) is equal to

If f(X)= |(x,x^(2),x^(3)),(1,2x,3x^(2)),(0,2,6x)| then f '(x) is equal to

Length of the tangents from the point (1,2) to the circles x^(2)+y^(2)+x+y-4=0 and 3x^(2)+3y^(2)-x-y-k=0 are in the ratio 4:3 , then k is equal to a) (37)/(2) b) (4)/(37) c)21 d) (39)/(4)

If |(x,x+y,x+y+z),(2x,3x+2y,4x+3y+2z),(3x,6x+3y,10x+6y+3z)| = 64, then the real value of x is a)2 b)1 c)4 d)6

If |(x,2,x),(x^(2),x,6),(x,x,6)|=ax^(4) + bx^(3)+cx^(2)+dx +e , then 5a+4b+3c+2d+e is equal to