In the given figure, O is the centre of the circle. P Q is a tangent to the circle at T. Chord A B produced meets the tangent at P. A B=9 {\cm}, B P=16 {\cm}, \angle P T B=50^{\circ} \angle O B A=45^{\circ} Find: (a) length of P T (b) \triangle B A T (c) \angle B O T (d) \angle A B T

ICSE Class X Math 2023 Solved Paper - Question 24

Question : 24 of 41

Marks: +1, -0

In the given figure,

O

is the centre of the circle.

P Q

is a tangent to the circle at

T

.
Chord

A B

produced meets the tangent at

P

A B=9 {\cm}, B P=16 {\cm}, ∠ P T B=50^{∘}

∠ O B A=45^{∘}

Find:

(a) length of

P T

(b)

△ B A T

(c)

∠ B O T

(d)

∠ A B T

Solution:

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