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Standard X

Mathematics

Intersection between Tangent and Secant

In the given ...

Question

In the given figure, O is the centre of the circle and TP is the tangent to the circle from an external point T. If ∠PBT = 30^∘ , prove that
BA : AT = 2 : 1 [CBSE 2015]

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Similar questions

Q. In the given figure ,O is the centre of the circle and

T P

is the tangent to the circle from an external point

T

. If

∠ P B T = 30^{o}

, prove that

B A : A T = 2 : 1

In the given figure, $O$ is center of the circle and $T P$ is the tangent to the circle from an external point $T .$ If $∠ P B T = 30^{\circ}$ , prove that $B A : A T = 2 : 1.$

Q. In the given figure, if TP and TQ are tangents drawn from an external point T to a circle with centre O such that ∠TQP = 60°, then ∠OPQ =

(a) 25°

(b) 30°

(c) 40°

(d) 60°

Q. Two tangents

T P

and

T Q

are drawn to a circle with centre

O

from an external point

T

. Prove that

∠ P T Q = 2 ∠ O P Q

Q. Two tangent

T P

and

T Q

are drawn to a circle with centre

O

from an external point

T

.
Prove that

∠ P T Q = 2

∠ O P Q

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In the given figure, O is the centre of the circle and TP is the tangent to the circle from an external point T. If ∠PBT = 30∘ , prove that BA : AT = 2 : 1 [CBSE 2015]

In the given figure, O is the centre of the circle and TP is the tangent to the circle from an external point T. If ∠PBT = 30^∘ , prove that
BA : AT = 2 : 1 [CBSE 2015]