2. Questions Bank
  3. 9th Class
  4. Mathematics
  5. Circles

9th Class Mathematics Circles Question Bank Circles

  • question_answer
    In given figure, if chords AB and CD of the circle intersect each other at right angles, then\[x+y=\_\_\_\_.\]

    A) \[{{45}^{o}}\]

    B)        \[{{60}^{o}}\]                                    

    C)        \[{{75}^{o}}\]                                    

    D)        \[{{90}^{o}}\]

    Correct Answer: D

    Solution :

    \[\angle CDB=\angle CAB\] (Angle in same segment are equal) \[\Rightarrow \]\[\angle CDB=x\] Given, \[\angle CPB={{90}^{o}}\] In \[\Delta DPB,\angle PDB+\angle PBD=\angle CPB\] (exterior angle property) \[\Rightarrow \]\[x+y={{90}^{o}}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner