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Find locus of a point so that its distan...

Find locus of a point so that its distance from the axis of x is always one half its distance from the origin.

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The correct Answer is:
`|y|=c^(2)`
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Find the locus of a point which moves so that its distance from the x-axis is twice its distance from the y-axis.

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Find the locus of point whose distance from the origin is 5.

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A point moves so that its distance from the point (-2, 3) is always three times its distance from the point (0, 3) . Find the equation to its locus.

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ICSE-THE STRAIGHT LINE -EXERCISE 16 (i)
  1. Find locus of a point so that its distance from the axis of x is alway...

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  2. Find the locus of point whose distance from the origin is 5.

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  3. Find the locus of the point such that the sum of the squares of its di...

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  4. Find the locus of the point such that its distance from the x-axis is ...

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  5. Find the locus of the point such that its distance from the y-axis is ...

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  6. Find the locus of a point which is equidistance from the points (1, 0)...

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  7. A(2, 0) and B(4, 0) are two given points. A point P moves so that PA^(...

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  8. Find the locus of a point such that the sum of its distances from the ...

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  9. Find the locus of a point, so that the join of points (-5, 1) and (3, ...

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  10. Two points A and B with co-ordinates (5, 3), (3, -2) are given. A poin...

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  11. Show that (1, 2) lies on the locus x^(2)+y^(2)-4x-6y+11=0.

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  12. Does the point (3, 0) lie on the curve 3x^(2)+y^(2)-4x+7=0?

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  13. Find the condition that the point (h, k) may lie on the curve x^(2)+y^...

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  14. If the line (2+k)x-(2-k)y+(4k+14)=0 passes through the point (-1, 21),...

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  15. A is the point (-1, 0) and B is the point (1, 1). Find a point on the ...

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  16. The co-ordinates of the point S are (4, 0) and a point P has coordinat...

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  17. Find the ratio in which the line joining the points (6, 12) and (4, 9)...

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  18. AB is a line of fixed length, 6 units, joining the points A (t, 0) and...

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  19. A rod of length / slides with its ends on two perpendicular lines. Fin...

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  20. If O is the origin and Q is a variable, point on x^(2)=4y, find the lo...

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