In the given figure- if PQ -5 cm - - POQ -75- and - AOB -75-then the valueA- 3 cmB- 6 cmC- 4 cmD- 5 cm

The correct option is D 5 cm Given: PQ = 5 cm ∠ POQ = ∠ AOB nbsp; = 75° Consider POQ and AOB, ∠ POQ = ∠ AOB nbsp; = 75° .... (Given) AO = OP = radii of th ...

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Standard X

Mathematics

Arc/Chord Properties of Circles

In the given ...

Question

In the given figure, if PQ = 5 cm, $∠ P O Q = 75 ° and ∠ A O B = 75 °$ ,
then the value of AB = .

3 cm

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6 cm

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4 cm

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5 cm

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Solution

The correct option is D 5 cm
Given: $P Q = 5 c m ∠ P O Q = ∠ A O B = 75 °$
Consider $△ P O Q$ and $△ A O B$ ,
$∠ P O Q = ∠ A O B = 75 °$ .... (Given)
AO = OP = radii of the circle
BO = OQ = radii of the circle
$∴ Δ A O B ≅ Δ P O Q$ (By SAS congruency)
Hence, PQ = AB = 5 cm (C.P.C.T)

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In the given figure, if PQ = 5 cm, ∠POQ=75° and ∠AOB=75°, then the value of AB = .

The correct option is D 5 cm Given: PQ=5 cm∠POQ=∠AOB=75° Consider △POQ and △AOB, ∠POQ=∠AOB=75° .... (Given) AO = OP = radii of the circle BO = OQ = radii of the circle ∴ΔAOB≅ΔPOQ (By SAS congruency) Hence, PQ = AB = 5 cm (C.P.C.T)

In the given figure, if PQ = 5 cm, $∠ P O Q = 75 ° and ∠ A O B = 75 °$ ,
then the value of AB = .