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The points (1, 3).and (5,1) are two-oppo...

The points (1, 3).and (5,1) are two-opposite vertices of a rectangle. The other two vertices lie on the line y = 2x + c. Find c and theremaining vertices

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The points (1,3) and (5,1) are two oppsite vertices of a rectangle. The other two vertices lie on the line y=2x+c , find c and the coordinates of the remains vertices.

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Knowledge Check

  • If (0,-1) and (0,3) are two opposite vertices of a square, then the other two vertices are-

    A
    `(2,2) ,(1,1)`
    B
    `(0,1),(0,-3)`
    C
    `(3,-1), (0,0)`
    D
    `(2,1), (-2,1)`

  • (2,1) and (0,0) are the two adjcent vertices of a square. Then then perimeter of the square is

    A
    5 units
    B
    20 units
    C
    `2sqrt5` units
    D
    `4sqrt5` units

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    Prove that the points (2,-2) ,(8,4), (5,7) and (-1,1) are the vertices of a rectangle , find the area of the rectangle.

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    Prove that the points P(-1,-2) Q (7,4) R (4,8) and S(-4,2) are the vertices of a rectangle.

    If A (-1, 3), B (1, -1) and C (5, 1) are the vertices of a triangle ABC, find the length of the median through A.

    If one of the vertices of a square is (3,2) and one of the diagonalls is along the line 3x+4y+8=0, then find the centre of the square and other vertices.

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