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The locus of points at a distance 2 cm f...

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

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To find the locus of points that are at a distance of 2 cm from a fixed line, follow these steps: ### Step-by-Step Solution: 1. **Identify the Fixed Line:** - Let’s denote the fixed line as line AB. 2. **Determine the Distance:** - The distance we need to consider from the line AB is 2 cm. 3. **Draw the Fixed Line:** - Draw a horizontal line and label it as line AB. 4. **Draw Parallel Lines:** - From line AB, draw a line parallel to it at a distance of 2 cm above it. Label this line as line L. - Similarly, draw another line parallel to line AB at a distance of 2 cm below it. Label this line as line M. 5. **Identify the Locus:** - The locus of points that are at a distance of 2 cm from the fixed line AB is represented by the two parallel lines L and M. ### Final Statement: Thus, the locus of points at a distance of 2 cm from the fixed line AB consists of two parallel lines, L and M, which are 2 cm away from line AB in both directions. ---
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ICSE-LOCI (LOCUS AND ITS CONSTRUCTIONS)-EXERCISE 16(B)
  1. The locus of a point at a distance 3 cm from a fixed point.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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