Answer :

Formula used.


Perpendicular to tangent pass through centre of circle


Mid-point of chord is perpendicular line passes through centre


Solution.



As we join the figure


If P is mid-point of chord YZ


Then;


Line passing through centre to mid-point of line is perpendicular


Therefore OP is perpendicular to YZ


P = 90°


As there is tangent from point A on circle


Line passing through centre and point of contact is perpendicular to tangent


A = 90°


In Quadrilateral XAOP


A + P = 90° + 90° = 180°


A + P + O + X = 360°


O + X = 360° - 180° = 180°


Sum of both opposite angles are 180°


Quadrilateral XAOP is cyclic quadrilateral


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

<span lang="EN-USWest Bengal Board - Mathematics

<span lang="EN-USWest Bengal Board - Mathematics

Masum has drawn aWest Bengal Board - Mathematics

Two chords AB andWest Bengal Board - Mathematics

<span lang="EN-USWest Bengal Board - Mathematics

<span lang="EN-USWest Bengal Board - Mathematics

Two radii OA and West Bengal Board - Mathematics

I drew a circle hWest Bengal Board - Mathematics

XY is a diameter West Bengal Board - Mathematics