Use graph paper for this question Take 2 cm = 1 unit on both axis.

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asked Mar 7 in Class X Maths by priya12 (-11,407 points)

Use graph paper for this question. Take 2 cm = 1 unit on both axis.
(i) Plot the points A (1, 1), B (5, 3) and C (2, 7);
(ii) Construct the locus of points equidistant from A and B;
(iii) Construct the locus of points equidistant from AB and AC;
(iv) Locate the point P such that PA = PB and P is equidistant from AB and AC;
(v) Measure and record the length PA in cm.

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1 Answer

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answered Mar 7 by muskan15 (-2,499 points)

(i) Plot the points A(1, 1), B(5, 3) and C(2, 7) as shown.

(ii) Join AB. Draw right bisector L of AB. Then , L is the locus of points equidistant from A and B.

(iii) Join AC. Draw bisector m of ∠CAB. Then, m is the locus of the points equidistant from AB and AC.

(iv) The point of intersection P of right bisector of AB and angle bisector of ∠CAB is the point  such that PA = PB and P is equidistant from AB and AC.

(v) On measuring PA = 2.5 cm.

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