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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 `(a cos k, a sin k),(b sin k, -b cos k) and (1,0)` , where k is a perameter, is

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The correct Answer is:
`a^(2)+b^2`
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AAKASH SERIES-LOCUS-PRACTICE EXERCISE
  1. Equation of the locus of the centroid of the triangle whose vertices a...

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  2. The locus of the point which is equidistant to the coordinate ...

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  3. The locus of a point whose distance from y-axis is one-third of its di...

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  4. The equation to the locus of points equidistant from the points (-3, 4...

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  5. If the equation of the locus of a point equi-distant from the points (...

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  6. The equation to the locus of points equidistant from the points (-2, 3...

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  7. A(-9, 0) and B(-1, 0) are two points. If P(x, y) is a point such that ...

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  8. A(2,3),B(1,5),C(-1,2) are three points and PA^(2)+PB^(2)=2PC^(2) then ...

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  9. Let P(2, 0), Q(-2, 0) and R(4, 0) then the locus of S such that SQ^(2)...

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  10. The point P moves such that the sum of the squares of its distances fr...

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  11. A(2, 3), B(-1, 1) are two points if P is a point such that angleAPB=90...

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  12. A line passes through a fixed point A(h, k). The locus of the foot of ...

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  13. The locus of a point which is collinear with the points A(3, 4) and B(...

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  14. O(0,0), A(4,0), B(0, 6) are the points. If P is a point such that the ...

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  15. A(2, 3), B(-3, 4) are two points. If a point P moves such that the are...

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  16. A(1, 1), B(2, 3), C(-1, 1) are the points. If P is a point such that t...

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  17. A line segment of length 10 sliding with ends on the axes, then the lo...

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

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  19. Sum of the distances of a point from two per pendicular lines is 3. Th...

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  20. Let A(1, 2),B(3, 4) are two vertices of a DeltaABC. The third vertex C...

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  21. From a point P perpendiculars PM and PN are drawn upon x, y axes respe...

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