TS EAMCET · Maths · Quadratic Equation
If \(\alpha, \beta\) are the irrational roots of the equation \(3 p^2 x^3+p x^2\) \(+q x+3=0\) when \(p=1\) and \(q=-7\) then \(|\alpha-\beta|=\)
- A \(\frac{3 \sqrt{13}}{2}\)
- B \(\frac{\sqrt{3}}{2}\)
- C \(\frac{2 \sqrt{13}}{3}\)
- D 4
Answer & Solution
Correct Answer
(C) \(\frac{2 \sqrt{13}}{3}\)
Step-by-step Solution
Detailed explanation
Here we are given that \(3 p^2 x^3+p x^2+q x+3=0\) when \(\mathrm{p}=1\) and \(\mathrm{q}=-7\)…
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
- A diagnostic test has the probability 0.95 of giving a positive result when applied to a person suffering from a certain disease and a probability 0.10 of giving a positive result when given to a non-sufferer. It is estimated that \(0.5 \%\) of the population are suffering from the disease. If this test is now administered to a person from this population about whom there is no information relating to the incidence of this disease and the test gives a positive result, then the probability that he is a sufferer, isTS EAMCET 2020 Medium
- If getting a head on a coin when it is tossed Is considered as success, then the probability of having more number of failures when ten faír coins are tossed simultaneously, isTS EAMCET 2019 Medium
- The sum of all distinct roots of the equation \(x^5-3 x^4+5 x^3-5 x^2+3 x-1=0\) isTS EAMCET 2022 Easy
- If and , thenTS EAMCET 2020 Hard
- If \(\overrightarrow{\mathbf{a}}+\overrightarrow{\mathbf{b}}+\overrightarrow{\mathbf{c}}=\overrightarrow{\mathbf{0}}\) and \(|\overrightarrow{\mathbf{a}}|=3,|\overrightarrow{\mathbf{b}}|=4\) and \(|\overrightarrow{\mathbf{c}}|=\sqrt{37}\), then the angle between \(\overrightarrow{\mathbf{a}}\) and \(\overrightarrow{\mathbf{b}}\) is :TS EAMCET 2006 Easy
- If a point moves such that the sum of the squares of its coordinates is equal to their product, then the locus of excluding origin isTS EAMCET 2021 Easy
More PYQs from TS EAMCET
- Let \(\mathbf{a}=2 \hat{\mathbf{i}}-3 \hat{\mathbf{j}}+4 \hat{\mathbf{k}}, \mathbf{b}=7 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}-3 \hat{\mathbf{k}}\), \(\mathbf{c}=\hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}\). The vector \(\mathbf{x}\) such that \(\mathbf{x} \cdot \mathbf{c}=60\) and perpendicular to both \(\mathbf{a}, \mathbf{b}\) isTS EAMCET 2020 Easy
- The potential energy of a particle in a central field has the form where is the distance from the centre of the field. The magnitude of the maximum attractive force in Newton isTS EAMCET 2021 Hard
- If \(m\) and \(\sigma^2\) are the mean and variance of the random variable \(X\), whose distribution is given by
ThenTS EAMCET 2009 Medium - Which of the following represents fundamental forces of nature?TS EAMCET 2019 Easy
- Two unit negative charges are placed on a straight line. A positive charge \(q\) is placed exactly at the mid point between these unit charges. If the system of these three charges is in equilibrium, the value of \(q\) (in \(\mathrm{C}\) ) isTS EAMCET 2007 Medium
- Assertion (A): Optical fibres are widely used in communication network.Reason (R) Optical fibres are small in size, light weight, flexible and there is no scope for interference in them.TS EAMCET 2004 Easy