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Find the equation of a straight line on which the length of perpendicular from the origin is four units and the line makes an angle of 120° with the positive direction of the x-axis.

(Hint: Use normal form, where ω = 30°.)

0 3 Views | Posted 4 months ago
Asked by Shiksha User

  • 1 Answer

  • V

    Answered by

    Vishal Baghel | Contributor-Level 10

    4 months ago

    This is a Short Answer Type Questions as classified in NCERT Exemplar

    Sol:

    Given  that:             OM=4 units       ∠BAX=1200∴    ∠BAO=1800−1200    or    ∠MOA+∠MAO=900                 [?  OM⊥AB]      θ+600=900     ⇒θ=900−600∴    θ=300So,  equation  of  AB  in  its  normal  form               xcosθ+ysinθ=p⇒xcos300+ysin300=4⇒             x×32+y×12=4        ⇒3x+y=8Hence,  the  required  equation  is  3x+y=8.

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