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The area of a parallelogram is 12 square...

The area of a parallelogram is 12 square units. Two of its vertices are the points `A (-1, 3) and B (-2, 4)`. Find the other two vertices of the parallelogram, if the point of intersection of diagonals lies on x-axis on its positive side.

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A DAS GUPTA-Coordinates and Straight Lines-EXERCISE
  1. Two consecutive sides of a parallelogram are 4x+5y=0 and 7x+2y=0 . If ...

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

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

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

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

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

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

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

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

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

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

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  12. A straight line moves in such a way that the length of the perpendicul...

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  13. which Find the locus of the mid-point of the portion of the line x cos...

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  14. Find the equation of the line which cuts off equal and positive int...

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  15. A straight line segment of length/moves with its ends on two mutually ...

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  16. A line cuts the x-axis at A (7, 0) and the y-axis at B(0, - 5) A varia...

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  17. A variable straight line passes through the points of intersection of ...

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  18. A variable straight line is drawn through the point of intersection of...

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  19. P is the point (-1,2), a variable line through P cuts the x & y axes a...

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  20. A rectangle PQRS has its side PQ parallel to the line y= mx and verti...

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