Assertion (A): TA and TB are two tangents drawn from an external point T to a circle with centre ‘O’. If then

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Q.
Assertion (A): TA and TB are two tangents drawn from an external point T to a circle with centre ‘O’. If $∠ T B A = 75 °$ then $∠ A B O = 25 °$ .

Reason (R): The tangent drawn at any point of a circle is perpendicular to the radius through the point of contact.

Solution

Q.
Assertion (A): TA and TB are two tangents drawn from an external point T to a circle with centre ‘O’. If $∠ T B A = 75 °$ then $∠ A B O = 25 °$ .

Reason (R): The tangent drawn at any point of a circle is perpendicular to the radius through the point of contact.

1 Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).

2 Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).

3 Assertion (A) is true, but Reason (R) is false.

4 Assertion (A) is false, but Reason (R) is true.

Ans.
(4) Assertion (A) is false, but Reason (R) is true.

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Solution

Q. Assertion (A): TA and TB are two tangents drawn from an external point T to a circle with centre ‘O’. If ∠TBA=75° then ∠ABO=25°. Reason (R): The tangent drawn at any point of a circle is perpendicular to the radius through the point of contact.

1 Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).

2 Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).

3 Assertion (A) is true, but Reason (R) is false.

4 Assertion (A) is false, but Reason (R) is true.

Ans. (4) Assertion (A) is false, but Reason (R) is true.

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Q.
Assertion (A): TA and TB are two tangents drawn from an external point T to a circle with centre ‘O’. If $∠ T B A = 75 °$ then $∠ A B O = 25 °$ .

Reason (R): The tangent drawn at any point of a circle is perpendicular to the radius through the point of contact.

Ans.
(4) Assertion (A) is false, but Reason (R) is true.