21c)
the funtn f:c-c defined by f(x)= ax+b/cx+d for x belgs c
reduces 2 a constant funtion if
a) a=c b) b=d c)ad=bc d)ab=cd
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2 Answers
1708$\boldsymbol{Ans:(2)} Yes Shubhodip is Right. Here $f(x)=\frac{ax+b}{cx+d}=k$, Where $k\epsilon R$\\\\ So $ax+b=kcx+kd$, after Camparing Coefficients We Get..\\\\ $a=kc\Leftrightarrow \frac{a}{c}=k$\\\\ Similarly $b=kd\Leftrightarrow\frac{b}{d}=k$ ,After eliminating $k$, We get.\\\\ $\frac{a}{c}=\frac{b}{d}\Leftrightarrow \boxed{\boxed{ad=bc}}$
