Question

# Solve the following pair of equations:xa−yb=0, ax+by=a2+b2

A
x=ba and y=b
B
x=0 and y=ba
C
x=ba and y=ba
D
x=a and y=b
Solution
Verified by Toppr

#### The equation xa−yb=0 can be rewritten as:bx−ay=0...........(1)The other equation given is: ax+by=a2+b2..........(2)We pick either of the equations and write one variable in terms of the other. Let us consider the equation bx−ay=0 and write it as x=ayb Substitute the value of x in equation ax+by=a2+b2. We geta(ayb)+by=a2+b2⇒a2yb+by=a2+b2⇒a2y+b2yb=a2+b2⇒(a2+b2)y=b(a2+b2)⇒y=bTherefore, y=bSubstituting this value of y in the equation x=ayb, we getx=abb=aHence, the solution is x=a,y=b.

9
Similar Questions
Q1

If 1ab+1ba = 0, then lines xb+ya and xa+yb = 1 are ___________________

View Solution
Q2

If A =[abba] and A2 =[xyyx] , then

View Solution
Q3

Solve each of the following systems of equations by using the method of cross multiplication:

axby=0,ab2x+a2by=(a2+b2),where x0 and y0.

View Solution
Q4

Question 9 (vi)
Solve the following pair of equations
xa+yb=a+b, xa2+yb2=2,where a,b 0

View Solution
Q5

Solve for x and y:
axby=a2+b2, x+y=2a

View Solution
Solve
Guides