For some non-zero real values of \(a, b\) and \(c\), it is given that \(\left|\frac{c}{a}\right|=4,\left|\frac{a}{b}\right|=\frac{1}{3}\) and \(\frac{b}{c}=-\frac{3}{4}\). If \(a c>0\), then…
Question and options
For some non-zero real values of and , it is given that and . If , then equals
- 1
- -1
- 7
- -7
Answer and explanation
Correct answer: A - 1
ac>0 so c/a=4, c=4a; b=-(3/4)c=-3a (consistent with |a/b|=1/3). (b+c)/a = (-3a+4a)/a = 1.
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