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Show that the four lines y=0,y=2,y-sqrt(...

Show that the four lines `y=0,y=2,y-sqrt(3)x=0andy+sqrt(3)x=8sqrt(3)` form a cyclic trapezium . Find the coordinates of its vertices and also its area.

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The correct Answer is:
`(0,0),(8,0),((8sqrt(3)-2)/(sqrt(3)),2),((2)/(sqrt(3)),2)and "are"=(4)/(3)(12-sqrt(3))` square unit.
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CHHAYA PUBLICATION-STRAIGHT LINE-EXERCISE 2B (Long Answer Type Questions )
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  2. The coordinates of two vertices of a triangle are (-2,3) and (5,-1) ....

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  3. The equations of two adjacent side of a parallelogram are 4x+5y=0 and ...

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  4. Find the equation of the straight line which parallel with 3x+2y-6=0 a...

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  5. The line 3x+2y=24 meets the y-axis at A and the x-axis at Bdot The per...

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  6. Show that the lines (a+b)x+(a-b)y-2ab=0,(a-b)x+(a+b)y-2ab=0andx+y=0 f...

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  7. Show the equations of the straight lines which pass through (3,2) and ...

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  8. Find the equation of the straight line which pass through the point (s...

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  9. Find the area of the triangle bounded by the straight line 2x+3y=6 and...

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  10. Two equation of a side of a rectangle is 4x+7y+5=0 and the two verti...

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  11. Find the distance of the line 3x-2y-1=0 from the point (5,3) measur...

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  12. The coordinates of one vertex of an equilateral triangle are (2,3) an...

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  13. The equation of the hypotenuse of an isosceles right angled triangle i...

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  14. The coordinates of the ends of one diagonal of a rectangle are (6,1) a...

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  15. Show that the four lines y=0,y=2,y-sqrt(3)x=0andy+sqrt(3)x=8sqrt(3) fo...

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  16. Prove that the diagonals of the parallelogram formed by the lines ...

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  17. The sides AB,BC , CD and DA of a quadrilateral have the equations x+2...

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  18. A straight line L is perpendicular to the straight line 5x-y=1, . The ...

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  19. The equations of the perpendicular bisectors of the sides AB and AC of...

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  20. A ray of light is coming from a point (4,5) . Upon reaching the x- axi...

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