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प्रश्न
Describe the locus of points at distances greater than or equal to 35 mm from a given point.
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उत्तर
The locus is the space outside and circumference of the circle with a radius of 35 mm and the centre is the given fixed point
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संबंधित प्रश्न
In each of the given figures; PA = PB and QA = QB.
| i. |  |
| ii. |  |
Prove, in each case, that PQ (produce, if required) is perpendicular bisector of AB. Hence, state the locus of the points equidistant from two given fixed points.
In the figure given below, find a point P on CD equidistant from points A and B.
Describe the locus of the centre of a wheel of a bicycle going straight along a level road.
Describe the locus of a stone dropped from the top of a tower.
Describe the locus of a runner, running around a circular track and always keeping a distance of 1.5 m from the inner edge.
By actual drawing obtain the points equidistant from lines m and n; and 6 cm from a point P, where P is 2 cm above m, m is parallel to n and m is 6 cm above n.
Draw a triangle ABC in which AB = 6 cm, BC = 4.5 cm and AC = 5 cm. Draw and label:
- the locus of the centres of all circles which touch AB and AC,
- the locus of the centres of all the circles of radius 2 cm which touch AB.
Hence, construct the circle of radius 2 cm which touches AB and AC .
Prove that the common chord of two intersecting circles is bisected at right angles by the line of centres.
ΔPBC and ΔQBC are two isosceles triangles on the same base. Show that the line PQ is bisector of BC and is perpendicular to BC.
ΔPBC, ΔQBC and ΔRBC are three isosceles triangles on the same base BC. Show that P, Q and R are collinear.
