JKL is a tangent to the circle with centre O. Given that MK = MN and $\angle$LKN = 24${}^o$, find (a) $\angle$KON (b) $\angle$MKJ

Q. In the given figure, $\angle LMN={90}^o$ and $\angle LKN={90}^o$. seg MK $\perp$ seg LN.

Q. $AB$ is chord parallel to $MNS$. find $\angle ANC$

Q. If the tangent at a point P to a circle with centre O cuts a line through O at Q such that PQ = 24 cm and OQ = 25 cm. Find the radius of the circle.

Q. In the given figure, seg MN is a chord of a circle with centre O. MN = 25, L is a point on chord MN such that ML = 9 and d(O,L) = 5. Find the radius of the circle.

Q. Tangents to the circle with centre O, at the point A and B intersect at P, a circle is drawn with centre P passing through A, prove that the tangent at A to the circle with centre P passes through O.