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Standard X

Mathematics

Locus of the Points Equidistant From Two Intersecting Lines

Construct a ∠...

Question

Construct a $∠$ ABC = 60 $^{\circ}$ . Mark a point D on BC such that BD = 6 cm. Find the radius of the circle to touch AB at B and also pass through D.

2.44 cm

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4.44 cm

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5.48 cm

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None of these

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Solution

The correct option is A
2.44 cm

$∠$ ABC = 60 $^{\circ}$ is drawn.

BE is drawn perpendicular to BC at B.

BD = 6 cm is taken from BC.

Perpendicular bisector of BD is drawn which intersects BE at O.

Taking O as centre and OB as radius a circle is drawn which pass through B and D.

Measuring the radius, it comes around 2.44 cm

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Construct a ∠ABC = 60∘ . Mark a point D on BC such that BD = 6 cm. Find the radius of the circle to touch AB at B and also pass through D.

Construct a $∠$ ABC = 60 $^{\circ}$ . Mark a point D on BC such that BD = 6 cm. Find the radius of the circle to touch AB at B and also pass through D.