Home
Class 10
MATHS
If x, y in R satisfy the equation x^(2)+...

If `x, y in R` satisfy the equation `x^(2)+y^(2)-4x-2y+5=0` then the value of the expression
`((sqrt(x)-sqrt(y))^(2)+4sqrt(xy))/(x+sqrt(xy))` is

Text Solution

Verified by Experts

The correct Answer is:
`(sqrt(2)+1)/(sqrt(2))`
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    CENGAGE|Exercise TEST YOURSELF (Multiple Choice Questions) |22 Videos

  • PROGRESSIONS

    CENGAGE|Exercise OLYMPIAD AND NTSE LEVEL EXERCISE |10 Videos

  • RATIONAL EXPRESSIONS

    CENGAGE|Exercise Olympiad and ntse level exercises |10 Videos

Similar Questions

Explore conceptually related problems

If x,y in R satify the equation x^(2)+y^(2)-4x-2y+5=0, then the value of the expression [(sqrt(x)-sqrt(y))^(2)+sqrt(xy)]/(x+4sqrt(xy)) is sqrt(2)+1 b.(sqrt(2)+1)/(2) c.(sqrt(2)-1)/(2) d.(sqrt(2)+1)/(sqrt(2))

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

Solve (2)/(sqrt(x))+(3)/(sqrt(y))=2 ;(4)/(sqrt(x))+(3)/(sqrt(y))=2

If x,y in R satisfies (x+5)^(2)+(y-12)^(2)=(14)^(2), then the minimum value of sqrt(x^(2)+y^(2)) is

Solution of the differential equation (y+x sqrt(xy)(x+y))dx+(y sqrt(xy)(x+y)-x)dy=0 is

find x and y 3/sqrt(x)+1/sqrt(x)=sqrt(x) y^2-(7)^(5/2)/sqrt(y)=0

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

Evaluate (sqrt(x^2-y^2)+x)/(sqrt(x^2+y^2)+y) divide (sqrt(x^2+y^2)-y)/(x-sqrt(x^2-y^2))