TS EAMCET · Maths · Quadratic Equation
Sum of the modulii of the complex roots of the equation \(\left(x^2+\frac{1}{x^2}\right)-5\left(x+\frac{1}{x}\right)+6=0\) is
- A 5
- B 1
- C \(\frac{1}{2}\)
- D 2
Answer & Solution
Correct Answer
(D) 2
Step-by-step Solution
Detailed explanation
We have, \(\left(x^2+\frac{1}{x^2}\right)-5\left(x+\frac{1}{x}\right)+6=0\)…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- The line \(x+y+1=0\) intersects the circle \(x^2+y^2-4 x+2 y-4=0\) at the points A and B. If \(M\) \((a, b)\) is the midpoint of AB , then \(a-b=\)TS EAMCET 2024 Medium
- Two points \(A(-a, 0)\) and \(B(a, 0)\) are given. If \(C\) is a variable point lying on one side of the line \(A B\) such that \(\angle C A B-\angle C B A=\alpha\), where \(\alpha\) is a positive constant, then locus of the point \(C\) isTS EAMCET 2019 Medium
- If \(y=\tan ^{-1}\left[\frac{\sin ^3(2 x)-3 x^2 \sin (2 x)}{3 x \sin ^2(2 x)-x^3}\right]\), then \(\frac{d y}{d x}=\)TS EAMCET 2024 Medium
- Let \(a\) be a fixed positive real number and \(n\) be an arbitrary constant. For the curve \(y=\frac{x^n}{a^{n-1}}\), if the length of the subnormal at any point \((\alpha, \beta)\) is proportional to \(a^2\), then \(n=\)TS EAMCET 2020 Easy
- If \(x\) is numerically so small so that \(x^2\) and higher powers of \(x\) can be neglected, then \(\left(1+\frac{2 x}{3}\right)^{3 / 2} \cdot(32+5 x)^{-1 / 5}\) is approximately equal toTS EAMCET 2009 Easy
- If \(f(x)=\frac{1}{x^3} \int_5^x\left(2 u^2-u f^{\prime}(u) d u\right.\), then \(f^{\prime}(5)=\)TS EAMCET 2020 Medium
More PYQs from TS EAMCET
- The equation of the tangent at the point on the circle which cuts the circles and orthogonally isTS EAMCET 2018 Medium
- If \(\overrightarrow{\mathbf{a}}=\hat{\mathbf{i}}-\hat{\mathbf{j}}-\hat{\mathbf{k}}\) and \(\overrightarrow{\mathbf{b}}=+\lambda \hat{\mathbf{i}}-3 \hat{\mathbf{j}}+\hat{\mathbf{k}}\) and the orthogonal projection of \(\overrightarrow{\mathbf{b}}\) on \(\overrightarrow{\mathbf{a}}\) is \(\frac{4}{3}(\hat{\mathbf{i}}-\hat{\mathbf{j}}-\hat{\mathbf{k}})\), then \(\lambda\) is equal toTS EAMCET 2007 Easy
- Which product of the following reactions fails to give the carbylamine test ?TS EAMCET 2018 Medium
- If \(\ell, \mathrm{m}, \mathrm{n}\) and \(\mathrm{a}, \mathrm{b}, \mathrm{c}\) are direction cosines of two lines thenTS EAMCET 2023 Easy
- Two identical wires have a fundamental frequency \(f_0\) when kept under the same tension \(T\). If the tension of one wire is increased by \(\Delta T\), then the \(N\) beats occur when both wires oscillate simultaneously.TS EAMCET 2021 Medium
- \(\lim _{x \rightarrow \infty} x\left(\log \left(1+\frac{x}{2}\right)-\log \frac{x}{2}\right)=\)TS EAMCET 2019 Medium