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Describe : The locus of the mid-points...

Describe :
The locus of the mid-points of all chords parallel to a given chord of a circle.

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Show that the locus of the mid-points of all chords passing through the vertices of the parabola y^(2) =4ax is the parabola y^(2)=2ax .

The locus of the middle points of the focal chords of the parabola, y 2 =4x

The locus of the middle points of the focal chords of the parabola, y^2=4x is:

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Prove that the line joining the mid-points of two parallel chords of a circle passes through the centre.

Prove that the line joining the mid-points of two parallel chords of a circle passes through the centre.

Prove that the line joining the mid-points of two parallel chords of a circle passes through the centre.

The locus of mid - points of all chords of parabola y^(2)=4x, for which all cirlces drawn taking them as diameters passes through the vertex of the parabola is a conic whose length of the smallest focal chord is equal to

ICSE-LOCI (LOCUS AND ITS CONSTRUCTIONS)-EXERCISE 16(B)
  1. Describe : The locus of the centre of a given circle which rolls ar...

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  2. Describe : The locus of the centres of all circles that are tangent ...

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  3. Describe : The locus of the mid-points of all chords parallel to a g...

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  4. Describe : The locus of points within a circle that are equidist...

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  5. Sketch and describe the locus of the vertices of all triangles with a ...

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  6. In the given figure , obtain all the points equidistant from lines m a...

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  7. A straight line AB is 8 cm long. Draw and describe the locus of a poin...

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  8. A straight line AB is 8 cm long. Draw and describe the locus of a poin...

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  9. Angle ABC=60^(@) and BA=BC=8 cm. The mid-points of BA and BC are M and...

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  10. Angle ABC=60^(@) and BA=BC=8 cm. The mid-points of BA and BC are M and...

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  11. Angle ABC=60^(@) and BA=BC=8 cm. The mid-points of BA and BC are M and...

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  12. Construct a triangle ABC, having given AB = 4.8 cm, AC = 4 cm and angl...

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  13. Draw an angle ABC=120^(@). Find a point P such that P is at a distance...

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  14. Construct a triangle ABC, with AB = 5.6 cm, AC = BC = 9.2 cm. Find the...

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  15. Construct a triangle ABC, with AB =6 cm, AC = BC = 9 cm.Find a point 4...

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  16. Ruler and compasses may be used in this question. All construction li...

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  17. Triangles on the same base and between the same parallels are equal ...

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  18. State the locus of a point in a rhombus ABCD, which is equidistant (...

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  19. Use graph paper for this question. Take 2 cm = 1 unit on both the axes...

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  20. Use graph paper for this question. Take 2cm=1 unit on both the axes. ...

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