Q)

Asked by araima2001 | 24th Sep, 2016, 12:26: PM

Expert Answer:

Quadrilateral space ABCD space is space inscribed space in space straight a space circle space means space its space straight a space cyclic space quadrilateral.
rightwards double arrow angle straight A space plus space angle straight C space equals space 180 degree space space space space and space space space angle straight B space plus space angle straight D space equals space 180 degree space

Now space comma
tan space left parenthesis straight B plus straight D right parenthesis equals fraction numerator tanB plus tanD over denominator 1 minus tanBtanD end fraction
tan left parenthesis 180 degree space right parenthesis space equals fraction numerator tanB plus tanD over denominator 1 minus tanBtanD end fraction
0 equals fraction numerator tanB plus tanD over denominator 1 minus tanBtanD end fraction
tanB plus tanD equals 0

therefore Option space space left parenthesis straight D right parenthesis space space space is space correct.

Answered by Vijaykumar Wani | 26th Sep, 2016, 10:20: AM