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Which line is having the greatest inclin...

Which line is having the greatest inclination with the positive direction of the x-axis?
(i) Line joining the points (1, 3) and (4, 7)
(ii)Line `3x-4y+3=0`

Text Solution

Verified by Experts

(i) Slope of the line joining the points `A(1,3)` and B(4,7) is `(7-3)/(4-1)=(4)/(3)=tanalpha`
(ii) Slope of the line `3x-4y+3=0` is `-(3)/(-4)=(3)/(4)=tanbeta`
Now, `tanalphagttanbeta`
or `alphagtbeta`
Thus, (i) is having the greatest inclination with the positive direction of the x-axis.
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Knowledge Check

  • The inclination of the line joining the points (3-sqrt(3)) and (sqrt(3),-1) is -

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    B
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    C
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    D
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