A) \[\pm (p-q)(r-s)\,\text{cosec}(\alpha -\beta )\]
B) \[(p+q)(r-s)\,\text{cosec }(\alpha +\beta )\]
C) \[(p+q)(r+s)\,\text{cosec }(\alpha -\beta )\]
D) None of these
Correct Answer: A
Solution :
Use, Area = \[{{p}_{1}}.{{p}_{2}}\text{cosec}\theta \] where \[\tan \theta =\frac{-\tan \alpha +\tan \beta }{1+\tan \alpha \tan \beta }=\tan (\beta -\alpha )\] \ \[\theta =\beta -\alpha ,{{p}_{1}}=p-q,{{p}_{2}}=r-s\].You need to login to perform this action.
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