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Determine graphically the vertices of a trapezium, the equations of whose sides are `x=0,y=0,y=4a n d2x+y=6` . Also, determine its area.

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To determine the vertices of the trapezium formed by the lines \(x=0\), \(y=0\), \(y=4\), and \(2x+y=6\), and to calculate its area, follow these steps: ### Step 1: Identify the Lines The equations of the sides of the trapezium are: 1. \(x = 0\) (the y-axis) 2. \(y = 0\) (the x-axis) 3. \(y = 4\) (a horizontal line at y = 4) 4. \(2x + y = 6\) (a straight line) ...
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RD SHARMA-PAIR OF LINEAR EQUATIONS IN TWO VARIABLES-All Questions
  1. Solve: x+2y+z=7, x+3z=11, 2x-3y=1

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  2. Solve for x and y 6/(x+y)=7/(x-y)+3, 1/(2(x+y))=1/(3(x-y))

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  3. Determine graphically the vertices of a trapezium, the equations of ...

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  4. Determine, graphically whether the system of equations x-2y=2,4x-2y=5 ...

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  5. Solve the following system of equations by using the method of elim...

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  6. Solve the following system of equations: 1/(2x)-1/y=-1 1/x+1/(2y)=9,w...

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  7. Solve: 4x+6/y=15 6x-8/y=14 and hence find p if y=p x-2

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  8. Solve:3(2u+v)=7u v, 3(u+3v)=11 u v

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  9. Sol v e :1/(2(2x+3y))+(12)/(7(3x-2y))=1/2 7/(2x+3y)+4/(3x-2y)=2 wher...

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  10. Solve: 217 x+131 y=913 131 x+217 y=827

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  11. The area of the triangle formed by the lines 2x+3y=12 ,x-y-1=0 and x=0...

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  12. The students of a class are made to stand in rows. If 3 students are ...

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  13. A wizard having powers of mystic in candations and magical medicines s...

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  14. A railway half ticket costs half the full fare and the reservation cha...

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  15. There are two examination rooms A and B. If 10 candidates are sent A a...

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  16. In a rectangle, if the length is creased by 3 metres and breadth is ...

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  17. On selling a tea-set 5% loss and a lemon-set at 15% gain, a crockery ...

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  18. Draw the graphs of 2x+y=6 and x-y+2=0. Shade the region boun-ded by th...

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  19. Solve the following system of linear equations graphically. 2x-y-4=0,...

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  20. Solve the following system of equations graphically x+3y=6 2x-3y=12 ...

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