Mathematics

Mathematics

Problem

26. ![](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260107T161002Z/64bd385e37e04f08ad4fbf3949b6b3af/53cb558495f8cc93c4202314ef492966_img.jpg) a. In the given figure, O is the centre of the circle and BCD is tangent to it at C. Prove that ∠BAC+∠ACD=90∘\angle BAC + \angle ACD = 90^\circ. ![Diagram for Question 26(a): A circle with center O. BCD is a tangent line touching the circle at C. A is a point on the circle. AC is a chord. A dashed line OC is drawn, perpendicular to the tangent BCD at C. P is a point on the chord AC.](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260107T161002Z/64bd385e37e04f08ad4fbf3949b6b3af/53cb558495f8cc93c4202314ef492966_img.jpg) b. OR Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle.

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