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If ax + by = a^(2)-b^(2) and bx + ay = 0...

If `ax + by = a^(2)-b^(2)` and bx + ay = 0, find the value of `x + y`.

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The correct Answer is:
`a - b`
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KUMAR PRAKASHAN-PAIR OF LINEAR EQUATIONS IN TWO VARIABLES -Practice Thoroughly
  1. In the given figure, ABCD is a rectangle, Find the values of x and y.

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  2. For what value of k, will the graphs of following pair of linear equat...

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  3. If ax + by = a^(2)-b^(2) and bx + ay = 0, find the value of x + y.

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  4. For what values of a and b does the following pair of linear equations...

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  5. Given the linear equation x - 2y - 6 = 0, write another linear equatio...

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  6. Find whether the following pair of linear equations is consistent or i...

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  7. Draw the graphs of the equations x = 3, x = 5 and 2x - y - 4 = 0. Also...

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  8. The cost of 4 pens and 4 pencil boxes is Rs. 100. Three times the cost...

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  9. Determine algebraically the vertices of the triangle formed by lines 3...

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  10. The sum of a two digit number and the number formed by interchanging i...

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  11. 90 % pure and 97% pure acid solutions are mixed to obtain 21 litres of...

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  12. The incomes of two persons A and B are in the ratio 8:7 and the ratio ...

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  13. Three lines x + 3y = 6, 2x - 3y = 12 and x = 0 are enclosing a beautif...

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  14. A fraction becomes (19)/(23) if 2 is added to both its numerator and ...

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  15. Jamila sold a table and a chair for Rs. 1050, thereby making a profit ...

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  16. A railway half ticket costs half the full fare, but the reservation ch...

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  17. Vijay had some bananas and he divided them into two lots A and B. He s...

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  18. In a competitive examination, one mark is awarded for each correct an...

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  19. If x-1 is a factor of 2x^(3)+ax^(2)+2bx+1 and 2a-b=4. Find the values ...

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  20. Solve for x and y:2^(x)+3^(y)=17 and 2^(x+2)-3^(y+1)=5.

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