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Determine whether the origin lies inside...

Determine whether the origin lies inside or outside the triangle whose sides are given by the equations `7x-5y-11=0, 8x+3y+31=0, x+8y-19=0`.

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A DAS GUPTA-Coordinates and Straight Lines-EXERCISE
  1. Find the equations of the lines which pass through the point (4,5) and...

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  2. Find the bisector of acute angle between the lines x+y - 3 = 0 and 7x ...

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  3. Determine whether the origin lies inside or outside the triangle whose...

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  4. The equation of the bisector of the angle between the lines x+2y-2=0, ...

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  5. Find the values of beta so that the point (0,beta) lies on or inside t...

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  6. Given vertices A (1, 1),B(4, -2)&C(5, 5) of a triangle, find the equat...

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  7. Find the equation of the sides of a triangle ABC with A(1,3) as a vert...

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  8. Find the equation of the legs of a right isosceles triangle if the equ...

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  9. In a right angled triangle the vertex at the right angle is (1,1), one...

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  10. The ends of the base of an isosceles triangle are at (2a, 0)and (0, a)...

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  11. Two sides of an isosceles triangle are given by the equations 7x-3=0a ...

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  12. An equilateral triangle ABC has its centroid at the origin and the bas...

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  13. The experimities of the diagonal of a square are (1,1) ,(-2,-1) .Obtai...

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  14. Find the equation of the two straight lines through (1, 2) forming the...

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  15. If two sides of a square are along 5x-12y + 26 = 0 and 5x-12y-65 = 0 t...

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  16. The equations of two sides of a square whose area is 25 sq.units are 3...

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  17. One side of a rectangle lies along the line 4x+7y+5=0. Two of its vert...

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  18. The equation of one side of a rectangle is 3x-4y-10=0 and the coordina...

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  19. Two consecutive sides of a parallelogram are 4x+5y=0 and 7x+2y=0 . If ...

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  20. A rhombus has two of its sides parallel to the lines y=2x+3 and y=7x+2...

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