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Find the locus of the mid-point of the portion of the line `x cosalpha+ysinalpha=4`intercepted between the axes of coordinates.

Answer

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Find the locus of the mid - point of the portion of the line x cos alpha + y sin alpha = 4 intercepted between the axes of coordinates .

Find the locus of the middle point of the portion of the line xcosalpha+ysinalpha=p which is intercepted between the axes, given that p remains constant.

Knowledge Check

  • Locus of mid-point of the portionof the line x cos alpha + y sin alpha =p between the coordinate axes is-

    A
    `x^(2) +y^(2) =(4)/(p^(2))`
    B
    `x^(2) +y^(2) =4p^(2)`
    C
    `(1)/(x ^(2))+(1)/(y^(2)) =(4)/(p^(2))`
    D
    `(1)/(x ^(2)) + (1)/(y^(2)) =(2)/(p^(2))`

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