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Three lines x + 3y = 6, 2x - 3y = 12 and...

Three lines `x + 3y = 6, 2x - 3y = 12 and x = 0` are enclosing a beautiful triangular park. Find the points of intersection of the lines graphically and the area of the park, if all the measurements are in km. What type of behaviour should be expected by public in these type of parks?

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The correct Answer is:
Area `= 18km^(2)`
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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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