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Find the locus of P, if for all values o...

Find the locus of P, if for all values of `alpha`, the co-ordinates of a moving point P is
`(9cosalpha, 9sinalpha)`

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Find the locus of P, if for all values of alpha , the co-ordinates of a moving point P is (9cosalpha, 6sinalpha)

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Knowledge Check

  • The locus of a moving point P(a cos^(3)theta,a sin^(3)theta) is:

    A
    `x^(1/3)`+y^(2/3)=a^(2/3)`
    B
    `x^(2)+y^(2)=a^(2)`
    C
    `x+y=a`
    D
    `x^(3/2)`+y^(3/2)=a^(3/2)`

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    Find the locus of P, if for all values of α, the co-ordinates of a moving point P is 9 cos alpha, 6 sin alpha)

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    Let lambdaa n dalpha be real. Find the set of all values of lambda for which the system of linear equations lambdax+(sinalpha)y+(cosalpha)z=0,x+(cosalpha)y+(sinalpha)z=0,-x+(sinalpha)y-(cosalpha)z=0. have trivial solution

    If theta is a parameter,find the equation of the locus of a moving point whose coordinates are (alpha cos^(3)theta,alpha sin^(3)theta) .

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