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The coordinates of a moving point P are `(a/2(cosectheta+sintheta), b/2(cosectheta-sintheta)), " where " theta` is a variable parameter. Show that the equation of the locus P is `b^(2)x^(2)-a^(2)y^(2)=a^(2)b^(2)`.

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The correct Answer is:
`alpha^(2)b^(2)`
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PREMIERS PUBLISHERS-TWO DIMENSIONAL ANALYTICAL GEOMETRY-SOLUTION TO EXERCISE (6.1)
  1. Find the locus of P, if for all values of alpha, the co-ordinates of a...

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  2. Find the locus of P, if for all values of alpha, the co-ordinates of a...

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  3. Find the locus of a point P that moves at a constant distant of two ...

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  4. Find the locus of a point P that moves at a constant distant of thre...

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  5. If theta is a parameter,find the equation of the locus of a moving poi...

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  6. Find the value of k and b, if the points P(-3, 1) and Q(2, b) lie on ...

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  7. A straight rod of length 8 units slides with its ends A and B always o...

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  8. Find the equation of the locus of a point such that the sum of the squ...

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  9. Find the equation of the locus of the point P such that the line segme...

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  10. If O is origin and R is a variable point on y^(2)=4x, then find the eq...

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  11. The coordinates of a moving point P are (a/2(cosectheta+sintheta), b/2...

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  12. If P(2,-7) is a given point and Q is a point on (2x^(2)+9y^(2)=18), th...

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  13. If R is any point on the x-axis and Q is any point on they y-axis and ...

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  14. If the points P(6,2) and Q(-2,1) and R are the vertices of a DeltaPQR ...

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  15. If Q is a point on the locus of x^(2)+y^(2)+4x-3y+7=0, then find the e...

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  16. Find the points on the locus of points that are 3 units from x-axis an...

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  17. The sum of the distance of a moving point from the points (4,0) and (-...

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