[" (v) "sqrt(2)x+sqrt(3)y=0],[[sqrt(3)x-sqrt(8)y=0," (vi) "(x)/(2)-(5y)/(3)=-2]],[[sqrt(3)x-sqrt(8)y=0,(x)/(2)+(y)/(4)=13]]

sqrt(2)x+sqrt(3)y=0sqrt(3)x-sqrt(8)y=0

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

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

Solve for x and ysqrt(2)x-sqrt(3)y=0,sqrt(5)x+sqrt(2)y=0

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

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

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

Evaluate : ( sqrt(2)x + sqrt(3)y ) ( sqrt(2)x + sqrt(3)y )

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)