TS EAMCET · Maths · Quadratic Equation
\(p\) and \(q\) are two roots of the equation \(x^2+7 x+3=0\). If \(\frac{3 p}{1-2 p}, \frac{3 q}{1-2 q}\) are the roots of \(l x^2+m x+n=0\) and the greatest common divisor of \(l, m, n\) is 1 , then \(l-m+n=\)
- A 11
- B -3
- C -1
- D 12
Answer & Solution
Correct Answer
(C) -1
Step-by-step Solution
Detailed explanation
It is given that \(p\) and \(q\) are roots of quadratic equation \(x^2+7 x+3=0\) To find the quadratic equation whose roots are \(\frac{3 p}{1-2 p}\) and \(\frac{3 q}{1-2 q}\), put \(\frac{3 p}{1-2 p}=x\) \(3 p=x-2 p x \Rightarrow p=\frac{x}{3+2 x}\) \(\because p\) is the root…
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