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Each side of a square is of length 4 un...

Each side of a square is of length 4 units. The centre of the square is at (3,7) and one of the diagonals is parallel to the line y=x. If the vertices of the square be `(x_1,y_1),(x_2,x_2),(y_2,y_3) and (x_4,y_4), " then max " (y_1,y_2,y_3,y_4)-min(x_1,x_2,x_3,x_4)` is

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Knowledge Check

  • The point on the curve y=x^3+x-2 , the tangent at which is parallel to the line y=4x-1 is

    A
    `(1,0),(-1,-4)`
    B
    `(0,-1),(-2,3)`
    C
    `(2,13),(-2,-3)`
    D
    `(1,2),(1,-2)`

  • The sides of a square are x=4, x=7, y=1, y=4 . Then the equation of the circumcircle of the square is

    A
    `x^(2)+y^(2)-11x-5y+32=0`
    B
    `x^(2)+y^(2)-11x-5y+7=0`
    C
    `x^(2)+y^(2)-6x-5y+7=0`
    D
    `x^(2)+y^(2)-5x-2y+15=0`

  • Area of the region (in square units) bounded by the curve y = x^2 + 4 and the line y = 5x - 2 is

    A
    `1/2`
    B
    `1/12`
    C
    `2`
    D
    `1/6`

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    The area (in square units) of the triangle formed by the lines x=0, y=0 and 3x+4y=12 is

    The equation of the circle having centre on the line x+y=1 and touching the lines 3x-4y+2=0, 4x+3y+7=0

    The number of surjections that can be defined from the set X={x_(1), x_(2), x_(3), x_(4), x_(5)} to the set Y={y_(1), y_(2), y_(3)} is

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