Q. 2

# In the figure, seg OM ⊥ seg AB and seg AM = 1.5cm Find the length of seg BM and seg AB.

Answer :

Given: seg 0M ⊥ seg AB

That is ∠OMB = ∠OMA = 90°

seg AM = 1.5cm

Join OA and OB, we get,

Now in ∆OMA and ∆OMB

∠OMB = ∠OMA = 90° (since, seg 0M⊥seg AB )

seg OA = seg OB (since, OA and OB are radius of a circle)

seg OM = seg OM (since, common side)

Therefore, ∆OMA ≅ ∆OMB (By, RHS Congruent Rule)

Therefore, seg AM = seg BM (By CPCT)

Thus, seg AM = seg BM = 1.5cm

seg AB = seg AM + seg BM

seg AB = 1.5 + 1.5 = 3cm

Rate this question :

Fill in the blanks.

In the circle with centre O shown alongside,

(1) Seg OD is a ………… .

(2) Seg AB is a ………… .

(3) SEg PQ is a ……….. .

(4) The length of seg AB is …………. that of se OD.

MHB - Mathematics (Old)A chord of a circle is 30 cm long. Its distance from the centre is 8 cm. Find the radius of the circle.

MHB - Mathematics (Old)The radius of a circle is 5 cm. The distance of a chord from the centre is 4 cm. Find the length of the chord.

MHB - Mathematics (Old)The radius of a circle is 13 cm. The length of a chord is 10 cm. Find the distance of the chord from the centre of the circle.

MHB - Mathematics (Old)In a circle with centre P, chord AB ≅ chord CD and m∠APB = 40° Find the measure of ∠CPD

MHB - Mathematics (Old)In a circle, chord MN ≅ chord RT. Chord RT is at a distance of 6 cm from the centre. Find the distance of the chord MN from the centre.

MHB - Mathematics (Old)Look at the figure alongside and write whether the following statements are true or false.

(1) Seg TS is not a chord. ( )

(2) Seg KM is a chord. ( )

(3) Seg CK is a radius. ( )

(4) Seg KM is not a diameter. ( )

MHB - Mathematics (Old)In the figure, seg OM ⊥ seg AB and seg AM = 1.5cm Find the length of seg BM and seg AB.

MHB - Mathematics (Old)