Question

ʜʟᴡ

ᴜʀ Qᴜᴇꜱᴛɪᴏɴ ʜᴇʀᴇ
ᴘʟᴢ ᴛᴇʟʟ ᴄᴏʀʀᴇᴄᴛ ᴀɴꜱᴡᴇʀ

ᴅᴏɴ'ᴛ ꜱᴘᴀᴍ​

Answer 1

• Refer to the attachment ✔️

Steps of Construction :-

• (i)Construct a circle of radius 6 cm.
• (ii)Join PO and bisect it Let M be the midpoint of PO.
• (iii)Taking M as centre and MO as radius, draw a circle. Let it intersect the given circle at the points Q and R.
• (iv)Join PQ and PR.
• (v)PQ and PR are the required two tangents.
• (vi)PQ = PR = 8 cm.

Justification :-

• Join OQ and OR.
• ∵ ∠OQP and ∠ORP are the angles in semi circles.
• ∠OQP = 90° = ∠ORP
• Also, since OQ, OR are radii of the circle, PQ and PR will be the tangents to the circle at Q and R respectively.

Hope it helps you ✔️

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