Mathematics
In the given figure, AB is a chord of the circle with centre O and BT is a tangent to the circle. If ∠OAB = 35°, find the values of x and y.

Related Questions
In the given figure, PAT is tangent at A and BD is a diameter of the circle. If ∠ABD = 28° and ∠BDC = 52°, find :
(i) ∠TAD
(ii) ∠BAD
(iii) ∠PAB
(iv) ∠CBD

In the given figure, PQ and PR are two equal chords of a circle. Show that the tangent at P is parallel to QR.

In the given figure, PAB is a secant to the circle and PT is a tangent at T. Prove that:
(i) ∠PAT ∼ ∠PTB
(ii) PA × PB = PT2

In a right-angled ΔABC, the perpendicular BD on hypotenuse AC is drawn. Prove that :
(i) AC × AD = AB2
(ii) AC × CD = BC2
