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Standard IX

Mathematics

Converse of Theorem 4

XY and PQ are...

Question

XY and PQ are two parallel chords of a circle on opposite side of the centre O and radius of circle is 13 cm. if PQ = 10 cm and XY = 24 cm, find the distance between PQ and XY.

25 cm

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17 cm

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21 cm

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14 cm

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Solution

The correct option is B
17 cm

If two parallel chords are on the opposite side of centre, then distance between two parallel chords is the sum of the distance from the centre to the chords.

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Similar questions

$P Q$ and $R S$ are two parallel chords of a circle whose centre is $O$ and radius is $10 c m$ . If $P Q = 16 c m$ and $R S = 12 c m$ . Find the distance between $P Q$ and $R S$ if they lie on the opposite side of the centre.

$P Q$ and $R S$ are two parallel chords of a circle such that $P Q = 10 c m$ & $R S = 24 c m$ . If the chords are on the opposite sides of the centre and the distance between them is $17 c m$ , find the radius of the circle.

Q. In the circle radius

13 c m, P Q

and

R S

are two parallel chords of length

24 c m

and

10 c m

respectively calculate the distance between the chords if they are
One the opposite side of the centre.

PQ and RS are two parallel chords of a circle whose centre is O and radius is 10 cm. If PQ = 16 cm and RS = 12 cm, find the distance between PQ and RS, if they lie.
(i) on the same side of the centre O.

(ii) on opposite of the centre O.

Q. PQ and RS are two parallel chords of a circle whose centre is O and radius is

10

cm. If PQ

= 16

cm and RS

= 12

cm. Then the distance between PQ and RS, if they lie.
(i) on the same side of the centre O and
(ii) on the opposite of the centre O are respectively

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XY and PQ are two parallel chords of a circle on opposite side of the centre O and radius of circle is 13 cm. if PQ = 10 cm and XY = 24 cm, find the distance between PQ and XY.

The correct option is B 17 cmIf two parallel chords are on the opposite side of centre, then distance between two parallel chords is the sum of the distance from the centre to the chords.

The correct option is B
17 cm

If two parallel chords are on the opposite side of centre, then distance between two parallel chords is the sum of the distance from the centre to the chords.