CBSE Class 10 Maths (Basic) 2024 · Paper 430(B) · Question 38

Circles 4 marks Very hard

Hari was eating ice-cream on his way back home from school. When he observed the shape of the ice-cream from the side view, he found it to be a circle with two tangents. If

P A

and

P B

are the two tangents to the circle from an external point

P

and

∠ A P B = 6 0^{\circ}

, then answer the following :

(i)What is the measure of $∠ P A O$ , where $O$ is the centre of circle ?[1]
(ii)If the radius of the circle is $3$ cm, then find the length of tangent $P A$ .[1]
(iii)(a)Find the measure of $∠ A O B$ .[2]
(iii)(b) ORJoin $A B$ and find the measure of $∠ O A B$ .[2]

Answer

(i)

∠ P A O = 9 0^{\circ}

; (ii)

P A = 33

\approx 5.20

cm; (iii)(a)

∠ A O B = 12 0^{\circ}

; OR (iii)(b)

∠ O A B = 3 0^{\circ}

🔒 Step-by-step solution

From the board paper

CBSE Class 10 Maths (Basic) 2024 · Paper 430(B), Question 38 — all 38 questions with answers →

CBSE Class 10 Maths (Basic) 2024 · Paper 430(B) · Question 38

Answer

From the board paper

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