Mathematics
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
Related Questions
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, 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.
In a right-angled ΔABC, the perpendicular BD on hypotenuse AC is drawn. Prove that :
(i) AC × AD = AB2
(ii) AC × CD = BC2
In the given figure, ABCD is a cyclic quadrilateral in which CB = CD and TC is a tangent to the circle at C. If O is the centre of the circle and BC is produced to E such that ∠DCE = 110°, find:
(i) ∠DCT
(ii) ∠BOC
