Home
Class 10
MATHS
x/a-y/b=0 , a x+b y=a^2+b^2...

`x/a-y/b=0 `, `a x+b y=a^2+b^2`

Text Solution

Verified by Experts

The correct Answer is:
` x = a , y = b `
` bx - ay = 0 " " ` … (i) and `a x + by = (a ^(2) + b ^(2))" " `… (ii)
Multiply (i) by b and (ii) by a and add.
Promotional Banner

Topper's Solved these Questions

  • LINEAR EQUATIONS IN TWO VARIABLES

    RS AGGARWAL|Exercise Exercise 3C|13 Videos

  • LINEAR EQUATIONS IN TWO VARIABLES

    RS AGGARWAL|Exercise Exercise 3D|31 Videos

  • LINEAR EQUATIONS IN TWO VARIABLES

    RS AGGARWAL|Exercise Exercise 3A|29 Videos

  • HEIGHTS AND DISTANCES

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|25 Videos

  • MEAN,MEDAN,MODE OF GROUPED,DATA CUMULATIVE FREQUENCY GRAPH AND OGIVE

    RS AGGARWAL|Exercise Test Yourself|18 Videos

Similar Questions

Explore conceptually related problems

(x)/(a)-(y)/(b)=0,ax+by=a^(2)+b^(2)

Solve for 'x' and 'y': (a -b) x + (a + b) y =a^2 - b^2 - 2ab (a + b) (x + y) = a ^2+ b^2

Prove that the diagonals of the parallelogram formed by the lines x/a +y/b=1,x/b+y/a= 1, x/a + y/b = 2 and x/b + y/a = 2 are at right angles . Also find its area (a != b)

If x/a + y/b = a+b and x/a^(2) + y/b^(2) =2 , then what is x/a^(2) - y/b^(2) equal to?

If the origin is shifted to the point ((a b)/(a-b),0) without rotation, then the equation (a-b)(x^2+y^2)-2a b x=0 becomes (A)(a-b)(x^2+y^2)-(a+b)x y+a b x=a^2 (B)(a+b)(x^2+y^2)=2a b (C)(x^2+y^2)=(a^2+b^2) (D)(a-b)^2(x^2+y^2)=a^2b^2

If x, y, a, b in R, a ne 0 and (a + ib) (x + iy) = (a^(2) + b^(2))i , then (x, y) equals

Solve the following system of linear equations. : ( a - b) x + (a + b ) y = a ^(2) - 2ab - b ^(2) , (a + b ) (x + y ) = a ^(2) + b ^(2) .