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The direction in which a straight line m...

The direction in which a straight line must be drawn through the point (1,2) so that its point of intersection with the `x+y=4` may be at a distance `(sqrt(6))/3` from theis point is

A

`30^(@),60^(@)`

B

`15^(2),75^(@)`

C

`||` to x-axis

D

|| to y-axis

Text Solution

Verified by Experts

The correct Answer is:
B
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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 1/3 sqrt(6) from this point

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 (1)/(3)sqrt(6) from this point.(A) 22(1)/(2^(@)),67(1)/(2^(@))(B)15^(@),45^(@)(C)30^(@),60^(@)(D)15^(@),75^(@)

Knowledge Check

  • In what direction a line be drawn through the point (1,2) . So that its point of intersection with the line x+y=4 is at a distance sqrt(6)//3 from the given point ?

    A
    `30^(@)`
    B
    `45^(@)`
    C
    `60^(@)`
    D
    `75^(@)`

  • The larger of two angles made with the X-axis of a straight line drawn through (1, 2) so that it intersects the line x + y = 4 at a paint distant sqrt(6) / 3 from the point (1, 2) is

    A
    `60^(@)`
    B
    `75^(@)`
    C
    `105^(@)`
    D
    none of these

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