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Question
Describe the locus of a point in space, which is always at a distance of 4 cm from a fixed point.
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Solution
The locus of a point in space is the surface of the sphere whose centre is the fixed point and radius equal to 4 cm.
RELATED QUESTIONS
Use ruler and compasses only for this question:
I. Construct ABC, where AB = 3.5 cm, BC = 6 cm and ABC = 60o.
II. Construct the locus of points inside the triangle which are equidistant from BA and BC.
III. Construct the locus of points inside the triangle which are equidistant from B and C.
IV. Mark the point P which is equidistant from AB, BC and also equidistant from B and C. Measure and records the length of PB.
State the locus of a point in a rhombus ABCD, which is equidistant
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- from the vertices A and C.
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(ii) Construct the locus of points, inside the circle that are equidistant from AB and AC.
Construct a triangle BCP given BC = 5 cm, BP = 4 cm and ∠PBC = 45°.
- Complete the rectangle ABCD such that:
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- Measure and record the length of AB.
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Describe completely the locus of a point in the following case:
Point in a plane equidistant from a given line.
Construct a triangle BPC given BC = 5 cm, BP = 4 cm and .
i) complete the rectangle ABCD such that:
a) P is equidistant from AB and BCV
b) P is equidistant from C and D.
ii) Measure and record the length of AB.
Construct a Δ ABC, with AB = 6 cm, AC = BC = 9 cm; find a point 4 cm from A and equidistant from B and C.
