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Locus of centroid of the triangle whose vertices are ` (a cos t, a sin t ) , (b sin t - b cos t ) and (1, 0)` where ` t ` is a parameter, is

A

` (3x - 1 ) ^ 2 + (3y) ^ 2 = a ^ 2 - b ^ 2 `

B

` ( 3x - 1 )^ 2 + (3y)^2 = a ^ 2 + b ^ 2 `

C

` (3x + 1)^ 2 + (3y ) ^ 2 = a ^ 2 + b ^ 2 `

D

` (3x + 1 ) ^ 2 + (3y ) ^ 2 = a ^ 2 - b ^ 2 `

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-LOCUS-EXERCISE 1 MULTIPLE CHOICE QUESTIONS
  1. The locus of the point (a cos h theta, b sin h theta ) is

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  2. The locus of the point (a sec theta, b tan theta ) where 0 le...

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  3. The locus of the point ( a cos theta + b sin theta, a sin t...

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  4. The locus of the point ( a sec theta + b tan theta , bsec thet...

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  5. The locus of the point ( a cos ^3 theta, b sin ^ 3 theta ) wher...

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  6. If a point (x, y) = (tan theta + sin theta , tan theta - sin t...

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  7. The locus of the point (cot theta + cos theta, cot theta - c...

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  8. The locus of the point (cosec theta - sin theta, sec theta -...

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  9. The locus of the point represented by x = 3 (cos t + sin t )...

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  10. The locus of the point represent by x = cos ^ 2 t, y = 2 sin...

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  11. The locus of the represented by x = t^ 2 + t + 1 , y = t ^ 2...

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  12. The locus of the point represented by x = 1 + 4 cos theta , ...

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  13. The line joining (5, 0) to (10 cos theta, 10 sin theta ) is di...

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  14. If a point P moves such that its distance from the point A(1, 1 )...

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  15. the equation to the locus of a point which moves so that the sum...

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  16. If the sum of the distances of a point P from two perpendicula...

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  17. A straight rod of length 9 unit, slides with its ends A, B alwa...

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  18. The ends of a rod of length l move on two mutually perpendicu...

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  19. If A ( cos alpha, sin alpha ), B (sin alpha - cos alpha ), C( ...

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  20. Locus of centroid of the triangle whose vertices are (a cos ...

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