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An equilateral triangle ABC has its cent...

An equilateral triangle ABC has its centroid at the origin and the base BC lies along the line `x + y = 1`. Area of the equilateral `DeltaABC` is

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A DAS GUPTA-Coordinates and Straight Lines-EXERCISE
  1. The ends of the base of an isosceles triangle are at (2a, 0)and (0, a)...

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

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

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

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

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

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

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

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

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

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

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  12. The area of a parallelogram is 12 square units. Two of its vertices ar...

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  13. Find the orthocentre of the triangle the equations of whose sides are ...

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  14. Two vertices of a triangle are (4,-3) & (-2, 5). If the orthocentre o...

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  15. The equations of two sides of a triangle are 3x-2y+6=0\ a n d\ 4x+5y-2...

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  16. Let A (3, 2) and B (5,1). ABP is an equilateral triangle is constructe...

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  17. In a triangle, ABC, the equation of the perpendicular bisector of AC i...

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  18. A variable plane moves in such a way that the sum of the reciprocals o...

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  19. A straight line moves such that the algebraic sum of the perpendicular...

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  20. Let A B C be a given isosceles triangle with A B=A C . Sides A Ba n dA...

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