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Find the equation of the two straight li...

Find the equation of the two straight lines through `(1, 2)` forming the two sides of a square of which `4x+7y=12` is one diagonal

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A DAS GUPTA-Coordinates and Straight Lines-EXERCISE
  1. An equilateral triangle ABC has its centroid at the origin and the bas...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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