Use ruler and compasses only for this question.

0 votes
1 view
asked Mar 6 in Class X Maths by muskan15 (-1,622 points)

Use ruler and compasses only for this question. Draw a circle of radius 4 cm and mark two chords AB and AC of the circle of length 6 cm and 5 cm respectively.
(i) Construct the locus of points, inside the circle, that are equidistant from A and C. Prove your construction.
(ii) Construct the locus of points, inside the circle, that are equidistant from AB and AC.

Please log in or register to answer this question.

1 Answer

0 votes
answered Mar 6 by navnit40 (-1,223 points)

Draw a circle of radius 4 cm whose centre  is O. Take a point A on the circumference of this circle.

With A as centre and radius 6 cm draw an arc to cut the circumference at B. Join AB.

Then AB is the chord of the circle of  length 6 cm.

With A as centre and radius 5 cm draw another arc to cut the circumference at C. Join AC then AC is the chord of the circle of length 5 cm.

With A as centre and a suitable radius, draw two arcs on opposite sides of AC.

With C as centre and the same radius, draw two arcs on opposite sides of AC to intersect the former arcs at P and Q.
Join PQ and produce to cut the circle at D and E.
Join DE. Then chord DE is the locus of points inside the circle that Ls equidistant from A and C.
As chord DE passes through (he centre O of the circle, it is a diameter. To prove the construction take any point S inside the circle on DE.

Related questions

0 votes
1 answer
0 votes
1 answer
...