If `0 < y < x ,` which statement must be true?
(a) `sqrt(x)-\ sqrt(y)=\ sqrt(x-y)`
(b) `sqrt(x)+\ sqrt(x)=\ sqrt(2x)`
(c) `xsqrt(y)=ysqrt(x)`
(d) `sqrt(x y)=\ sqrt(x)\ sqrt(y)`

The equations of lines passing through the point (1,0) and at distance of (sqrt(3))/(2) units from the origin are (i) sqrt(3)x+y-sqrt(3)=0,sqrt(3)x-ysqrt(3)=0 (ii) sqrt(3)x+y+sqrt(3)=0,sqrt(3)x-y+sqrt(3)=0 (iii) x+sqrt(3)y-sqrt(3)=0,x-sqrt(3)y-sqrt(3)=0 (iv) none of these

{:(sqrt(5)x - sqrt(7)y = 0),(sqrt(7)x - sqrt(3)y = 0):}

y=log[sqrt(x-a)+sqrt(x-b)]

If y=sqrt(x)+1/(sqrt(x)) , prove that 2x(dy)/(dx)=sqrt(x)-1/(sqrt(x))

If sqrt(x/y)+sqrt(y/x)=1 , then dy/dx

If y=e^(sqrt(x))+e^(-sqrt(x)) , then (dy)/(dx) is equal to (a) (e^(sqrt(x)))/(2sqrt(x)) (b) (e^(sqrt(x))-e^(-sqrt(x)))/(2sqrtx) 1/(2sqrt(x))sqrt(y^2-4) (d) 1/(2sqrt(x))sqrt(y^2+4)

Factorize : 2sqrt(2)x^3+3sqrt(3)y^3+sqrt(5)(5-3sqrt(6)x y)

Factorize : 2sqrt(2)x^3+3sqrt(3)y^3+sqrt(5)(5-3sqrt(6)x y)

If the number x,y,z are in H.P. , then sqrt(yz)/(sqrt(y)+sqrt(z)),sqrt(xz)/(sqrt(x)+sqrt(z)),sqrt(xy)/(sqrt(x)+sqrt(y)) are in

If sqrt(x)+sqrt(y) = sqrt(a) , find (d^(2)y)/(dx^(2)) at x = a.