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In the figure, BX bisects angle ABC and ...

In the figure, BX bisects angle ABC and intersects AC at point D. Line segment CY is perpendicular to AB and intersects BX at point P. If Y is mid-point of AB, prove that :

point D is equidistant from AB and BC.

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ICSE-LOCI (LOCUS AND ITS CONSTRUCTIONS)-EXERCISE 16(B)
  1. In the figure, BX bisects angle ABC and intersects AC at point D. Line...

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  2. The locus of a point at a distance 3 cm from a fixed point.

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  3. The locus of points at a distance 2 cm from a fixed line.

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  4. The locus of the centre of a wheel of a bicycle going straight along a...

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  5. The locus of the moving end of the minute hand of a clock.

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  6. Write the locus of a stone dropped from the top of a tower.

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  7. Write the locus of a runner running around a circular track and alw...

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  8. The locus of the door- handle, as the door opens.

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  9. The locus of points inside a circle and equidistant from two fixed poi...

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  10. The locus of the centres of all circles passing through two fixed poin...

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  11. The locus of vertices of all isosceles triangles having a common base.

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  12. What is the locus of a point in space, which is always at a distance o...

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  13. Describe the locus of a point P, so that : AB^(2)=AP^(2)+BP^(2), w...

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  14. The locus of a point on rhombus ABCD, so that it is equidistant from ...

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  15. The locus of a point on rhombus ABCD, so that it is equidistant from ...

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  16. The speed of sound is 332 metres per second. A gun is fired. Describe ...

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  17. Describe the locus of points at distances less than 3 cm from a given ...

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  18. Describe the locus of points at distances greater than 4 cm from a giv...

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  19. Describe the locus of point at distances less than or equal to 2.5 cm ...

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  20. Describe the locus of points at distances greater than or equal to 35 ...

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  21. Describe : The locus of the centre of a given circle which rolls ar...

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