CBSE Class 10 Maths (Standard) 2023 · Paper 30/1/1 · Question 38

Circles 4 marks Hard

The discus throw is an event in which an athlete attempts to throw a discus. The athlete spins anti-clockwise around one and a half times through a circle, then releases the throw. When released, the discus travels along tangent to the circular spin orbit. In the given figure, AB is one such tangent to a circle of radius

75

cm. Point O is centre of the circle and

∠ A B O = 3 0^{\circ}

P Q

is parallel to

O A

. Based on above information :

Tangent AB to circle, angle ABO = 30 degrees, PQ parallel to OA

aFind the length of AB.[1]
bFind the length of OB.[1]
cFind the length of AP. OR find the length of PQ.[2]

Answer

(a)

A B = 753 \approx 129.9

cm; (b)

O B = 150

cm; (c)

A P = \frac{75 3}{2} \approx 64.95

cm. OR

P Q = 37.5

cm.

🔒 Step-by-step solution

From the board paper

CBSE Class 10 Maths (Standard) 2023 · Paper 30/1/1, Question 38 — all 38 questions with answers →

CBSE Class 10 Maths (Standard) 2023 · Paper 30/1/1 · Question 38

Answer

From the board paper

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