" 54."x^(2)+(a+(1)/(a))x+1=0

Let x=1+(1)/(1+(1)/(1+(1)/(1+(1)/(1+(1)/(1+alpha))))). Which of the following is correct? x^(2)+x+1=0 (b) x^(2)-x+1=0( c) x^(2)+x-1=0 (d) x^(2)-x-1=0

f(x)=[x tan^(-1)x+sec^(-1)((1)/(x)),x in(-1,1)-{0} and (pi)/(2), if x=0, then f'(0) is

The coordinates of the middle point of the chord cut-off by 2x-5y+18=0 by the circle x^(2)+y^(2)-6x+2y-54=0 are (1,4) (b) (2,4) (c) (4,1) (d) (1,1)

The coordinates of the middle point of the chord cut-off by 2x-5y+18=0 by the circle x^2+y^2-6x+2y-54=0 are (1,4) (b) (2,4) (c) (4,1) (d) (1,1)

The co-ordinates of the middle point of the chord cut off on 2x - 5y +18= 0 by the circle x^2 + y^2 - 6x + 2y - 54 = 0 are (A) (1,1) (B) (2, 4) (C) (4,1) (D) (1, 4)

The coordinates of the middle point of the chord cut-off by 2x-5y+18=0 by the circle x^2+y^2-6x+2y-54=0 are (a) (1,4) (b) (2,4) (c) (4,1) (d) (1,1)

lim_ (x rarr0) ((1 + x) ^ ((1) / (x)) - e (1- (x) / (2))) / ((1-cos x))

If alpha,beta are the roots of the equation x^(2)+x+1=0 , then the equation whose roots are alpha^(22)andbeta^(19) , is a) x^(2)-x+1=0 b) x^(2)+x+1=0 c) x^(2)+x-1=0 d) x^(2)-x-1=0

If the length of the tangent from (5,4) to the circle x^(2) + y^(2) + 2ky = 0 is 1 then find k.