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Equation of the locus of the centroid of...

Equation of the locus of the centroid of the triangle whose vertices are `(acos k, a sin k),(b sin k, -b cos k)` and (1,0) where k is a p arameter is

A

`(1-3x)^(2)+9y^(2)=a^(2)+b^(2)`

B

`(3x-1)^(2)+9y^(2)=2a^(2)+2b^(2)`

C

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

D

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

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AAKASH SERIES-LOCUS-EXERCISE-I
  1. The perimeter of triangle is 14 units and two of its vertices are (-3,...

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  2. A ( 2, 3 ) , B ( -2, 3 ) are two points. The locus of P which...

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  3. The locus of the point represented by x=cos^(2)t,y=2sint is

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  4. The locus of the point (sectheta+tantheta,sectheta-tantheta) where the...

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  5. The locus of the point (a(costheta+sintheta),b(costheta-sintheta)), wh...

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  6. If (p,q), (acostheta,bsintheta),(bcostheta,asintheta) are the vertices...

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  7. The locus of the centroid of the triangle with vertices at (acostheta,...

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  8. The locus of the point x=a+lamda^(2),y=b-lamda where lamda is a parame...

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  9. The locus represented by x=(a)/(2)(t+(1)/(t)),y=(a)/(2)(t-(1)/(t)) i...

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  10. Statement-I : Let A(0,0),B(cosalpha,sinalpha),C(sinalpha-cosalpha) are...

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  11. Let P(x, y) be any point on the locus then observe the following lists...

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  12. Find the equation to the locus of points equidistant from the points ...

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  13. The line joning (5,0) and (10costheta,10sintheta) is divided internall...

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  14. The locus given by 16x^(2)-24xy+9y^(2)-62x+34y+46=0 is

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  15. The locus given by 25x^(2)+16y^(2)=400 is

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  16. The locus given by 2x^(2)-y^(2)=4a^(2) is

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  17. The equation sqrt((x-2)^(2)+y^(2))+sqrt((x+2)^(2)+y^(2))=4 represents

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  18. A and B are fixed points of PA+PB=K constant) and KgtAB then the locus...

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  19. Equation of the locus of the centroid of the triangle whose vertices a...

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  20. If A(5, 4) and B(7, 6) are points in a plane, then the set of all poin...

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