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The slope of a line through A(1,1) is 1....

The slope of a line through A(1,1) is 1. Find the point of the line at a distance `5sqrt2` from A.

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Knowledge Check

  • The distance of the line 2x-3y=4 from the point (1,1) in the direction of the line x+y=1 is

    A
    `sqrt2`
    B
    `5sqrt2`
    C
    `1/sqrt2`
    D
    none of these

  • The number of lines which pass through the point (2 , -3) and are at distance 8 from the point (-1 , 2) is _

    A
    infinite
    B
    4
    C
    2
    D
    0

  • The coordinates of a point on the line x + y + 1 = 0 which is at a distance sqrt(2) units from the line 3x + 4y - 2 = 0 are

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

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    The slope of a line is double of the slope of another line. If tangent of the angle between them is 1/3 , find the slopes of the lines.

    A straight lines has slope (5)/(12) and it passes throught the point P(3,-(7)/(2)) . Find the coordinates of a poin Q on this line which is at a distance of (13)/(2) unit from P.

    Find the direction in which a straight line must be drawn through the point (1,2) so that its point of intersection with the line x+ y =4 may be at a distance of 3 units from this point.

    The number of lines which pass through the point (2 , -3) and are the distance 8 from the point (-1 ,2) is

    Number of points having distance sqrt5 from the straight line x-2y+1 = 0 and a distance sqrt13 from the line 2x+3y-1 = 0 is

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