If one root `x^2-x-k=0` is square of the other, then `k=` a.`2+-sqrt(5)` b. `2+-sqrt(3)` c. `3+-sqrt(2)` d. `5+-sqrt(2)`

sqrt(2)x + sqrt(3)y=0 sqrt(5)x - sqrt(2)y=0

2sqrt(3)x^(2)+x-5sqrt(3)=0

x^(2)+(3-sqrt(5))x-3sqrt(5)=0

The length of the chord of the parabola y^(2)=x which is bisected at the point (2,1) is (a) 2sqrt(3)( b) 4sqrt(3)(c)3sqrt(2) (d) 2sqrt(5)

If x=5+2sqrt(6), then sqrt(x)-(1)/(sqrt(x)) is a.2sqrt(2)b2sqrt(3)c*sqrt(3)+sqrt(2)d*sqrt(3)-sqrt(2)

If x=5+2sqrt(6), then (x-1)/(sqrt(x)) is equal to a.sqrt(2) b.sqrt(3)c.2sqrt(2)d.2sqrt(3)

The value of b for which the equation x^(2)+bx-1=0 and x^(2)+x+b=0 have one root in common is ( a -sqrt(2)(b)-i sqrt(3) (c) i sqrt(5)(d)sqrt(2)

If tan(cos^(-1)x)=sin(cot^(-1)1/2) then x is equal to- a.1/sqrt(5)b.2/sqrt(5)c.3/sqrt(5)d.sqrt(5)/3

(2)/(sqrt(3)+sqrt(5))+(5)/(sqrt(3)-sqrt(5))=x sqrt(3)+y sqrt(5)