TS EAMCET · Maths · Quadratic Equation
If the equations \(x^2+a x+b=0\) and \(x^2+b x+a=0(a \neq b)\) have a common root, then \(a+b\) is equal to
- A \(-1\)
- B \(1\)
- C \(3\)
- D \(4\)
Answer & Solution
Correct Answer
(A) \(-1\)
Step-by-step Solution
Detailed explanation
Let \(\alpha\) be the common root, then…
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
- \(\int_3^6 \frac{\sqrt{x}}{\sqrt{9-x}+\sqrt{x}} d x=\)TS EAMCET 2023 Medium
- Let \(\mathbf{a}=\mathbf{i}+2 \mathbf{j}+\mathbf{k}, \mathbf{b}=\mathbf{i}-\mathbf{j}+\mathbf{k}, \mathbf{c}=\mathbf{i}+\mathbf{j}-\mathbf{k}\). A vector in the plane of \(\mathbf{a}\) and \(\mathbf{b}\) has projection \(\frac{1}{\sqrt{3}}\) on c. Then, one such vector isTS EAMCET 2012 Easy
- If \(1,2,3\) and 4 are the roots of the equation \(x^4+a x^3+b x^2+c x+d=0\), then \(a+2 b+c\) is equal toTS EAMCET 2007 Medium
- Given the circle \(C\) with the equation \(x^2+y^2-2 x+10 y-38=0\). Match the List I with the List II given below concerning \(C\)


The correct answer is \(\begin{array}{llll}\text { A } & \text { B } & \text { C } & \text { D }\end{array}\)TS EAMCET 2012 Easy - A random variable \(\mathrm{X}\) has the following probability distribution \begin{array}{|l|c|c|c|c|c|c|c|c|c|} \hline \mathbf{X}=\mathbf{x}_{\mathrm{i}}: & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \ \hline \mathbf{P}\left(\mathbf{X}=\mathbf{x}_{\mathrm{i}}\right): & 10 \mathrm{k} & 9 \mathrm{k} & 8 \mathrm{k} & 8 \mathrm{k} & 6 \mathrm{k} & 5 \mathrm{k} & 4 \mathrm{k} & 3 \mathrm{k} & \mathrm{k} \ \hline \end{array} where \(\mathrm{k}\) is a real number If \(\mathrm{A}=\left\{x_i / x_i\right.\) is a prime number \(\}\) and \(\mathrm{B}=\left\{x_i / x_i>5\right\}\) are two events, then \(P(A \cup B)=\)TS EAMCET 2022 Medium
- Let \(\overrightarrow{O A}=\hat{i}-3 \hat{j}+\hat{k}, \overrightarrow{O B}=\hat{i}+3 \hat{j}-2 \hat{k}\) and \(\overrightarrow{O C}=4 \hat{i}+3 \hat{j}+5 \hat{k}\) be the position vectors of three points \(A, B\) and \(C\). Let \(P\) be the point which divides \(A B\) in the ratio \(2: 1\). If \(1, m, n\) are the direction cosines of the vector \(\overrightarrow{P C}\), then \(1+3 m+2 n=\)TS EAMCET 2023 Easy
More PYQs from TS EAMCET
- If the roots of the quadratic equation are imaginary, then for all real values of , the minimum value of the expression isTS EAMCET 2020 Easy
- The negative feedback in an amplifierTS EAMCET 2025 Easy
- A straight line passing through origin intersects the lines and at right angles and at the points and respectively. Then the ratio in which divides the line segment isTS EAMCET 2021 Easy
- If \(\cosh ^{-1}\left(\frac{5}{3}\right)+\sinh ^{-1}\left(\frac{3}{4}\right)=k\), then \(e^k=\)TS EAMCET 2024 Easy
- \(p\) points are chosen on each of the three coplanar lines. The maximum number of triangles formed with vertices at these points isTS EAMCET 2009 Hard
- Let be two intersecting ellipses. If and are their points of intersection thenTS EAMCET 2022 Easy