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The condition for roots of lx^2+mx+n=0 to be of opposite sign is {l>0,n<0} (or) {l<0,n>0}.
Comparing the equation 23x^2-ax+(a+7), with lx^2+mx+n=0, we get l=23,m= -a, n=(a+7).
Here, l>0. So, n must be less than 0 to have the roots in opposite sign.
=>a+7<0
=>a<-7.
(b) is the right answer.
Comparing the equation 23x^2-ax+(a+7), with lx^2+mx+n=0, we get l=23,m= -a, n=(a+7).
Here, l>0. So, n must be less than 0 to have the roots in opposite sign.
=>a+7<0
=>a<-7.
(b) is the right answer.
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