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The equation of one side of a rectangle ...

The equation of one side of a rectangle is `3x-4y-10=0` and the coordinates of two of its vertices are `(-2, 1) and (2, 4)`. Find the area of the rectangle and the equation of that diagonal of the rectangle which passes through the point `(2, 4)`.

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A DAS GUPTA-Coordinates and Straight Lines-EXERCISE
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  2. One side of a rectangle lies along the line 4x+7y+5=0. Two of its vert...

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

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

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

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

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

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

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

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

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

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

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

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