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Find the tangent of the angle between th...

Find the tangent of the angle between the lines which have intercepts 3, 4, and 1, 8 on the axes respectively.

Text Solution

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We know that when a line has `a ` and `b` intercept then `x/3+y/4=1`...(line 1)
`i.e. 4x+3y=12`
Similarly line 2 `x/1+y/8=1`
...
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Knowledge Check

  • The angle between the lines whose intercepts on the axes are a, –b and b, –a respectively , is

    A
    `tan ^(-1) "" (a ^(2) -b ^(2))/( ab )`
    B
    `tan ^(-1) "" ( b ^(2) -a ^(2))/( 2)`
    C
    `tan ^(-1) "" ( b ^(2) -a ^(2))/( 2 ab) `
    D
    None of these

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