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The number of lines that are parallel to...

The number of lines that are parallel to `2x + 6y -7= 0` and have an intercept `10` between the coordinate axes is

A

1

B

2

C

4

D

infinitely many

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • The number of lines that are parallel to 2x+6y+7=0 and have an intercept of length 10 between the co ordinate axes is

    A
    1
    B
    2
    C
    4
    D
    infinite

  • The number of lines that are parallel to 2x + 6y + 7 = 0 and have an intercept of length 10 between the coordinate axes is

    A
    0
    B
    1
    C
    2
    D
    Infinite

  • Let S_(2) = 0 is the mirror image of S_(1) : x_(2) + y_(2) – 4x – 6y + 12 = 0 w.r.t the line L_(1) : 10^(4)x + (10^(4) + 10)y + (10^(4) + 20) = 0 . Let L_(2) : 2^(11) x + (2^(11) + 2^(12))y + (2^(11) + 2^(13)) = 0 be a line then the equations of line passing through the point of intersection of the line L^(2) = 0 with radical axes of S_(1) = 0, S_(2) = 0 and making equal intercepts in magnitude with the coordinate axes is/are

    A
    ) x – y – 3 = 0
    B
    x + y + 1 = 0
    C
    2x – 2y + 1 = 0
    D
    2x + 2y + 3 = 0

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