TS EAMCET · Maths · Functions
The set of all solutions of the inequation \(x^2-2 x+5 \leq 0\) in \(R\) is
- A \(R-(-\infty,-5)\)
- B \(R-(5,\infty)\)
- C \(\phi\)
- D \(R-(-\infty,-4)\)
Answer & Solution
Correct Answer
(C) \(\phi\)
Step-by-step Solution
Detailed explanation
Given inequation is \(x^2-2 x+5 \leq 0\). \(\therefore\) Roots are \[ x=\frac{+2 \pm \sqrt{4-20}}{2}=\frac{2 \pm 4 i}{2} \] \(\therefore\) Roots are imaginary, therefore no real solutions exist.
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
- If the term independent of \(x\) in the expansion of \(\left(\sqrt{\mathrm{x}}-\frac{\mathrm{k}}{\mathrm{x}^2}\right)^{10}\) is 405 , then \(k=\)TS EAMCET 2023 Easy
- Suppose \(X\) follows a binomial distribution with parameters \(n\) and \(p\), where \(0 < p < 1\). If \(\frac{P(X=r)}{P(X=n-r)}\) is independent of \(n\) for every \(r\), then \(p\) is equal toTS EAMCET 2012 Medium
- Let be a quadratic polynomial with real coefficients. If has only purely imaginary roots, then the zeroes of the polynomial areTS EAMCET 2022 Medium
- TS EAMCET 2021 Easy
- If the curves \(a x^2+b y^2=1\) and \(c x^2+d y^2=1\) intersect orthogonally, then \(\frac{b-a}{d-c}=\)TS EAMCET 2020 Medium
- If and then the minimum value of such isTS EAMCET 2020 Medium
More PYQs from TS EAMCET
- If ' \(A\) ' is the reactant and ' \(P\) ' is the product, which one of the following is the correct form of Nernst equation?TS EAMCET 2019 Medium
- A bullet of mass \(m_1\) is moving with speed \(v_0\) hits a sand bag of mass \(m_2\). If the speed of the bullet after passing the sand bag is \(\frac{v_0}{3}\), then the height \(h\) upto which the bag rises is (assume, \(g=\) acceleration due to gravity)
TS EAMCET 2020 Easy - A mass of \(2.9 \mathrm{~kg}\) is suspended from a string of length \(50 \mathrm{~cm}\) and is at rest. Another body of mass \(100 \mathrm{~g}\), which is moving horizontally with a velocity of \(150 \mathrm{~m} / \mathrm{s}\) strikes and sticks to it. Subsequently when the string makes an angle of \(60^{\circ}\) with the vertical, the tension in the string is \(\left(g=10 \mathrm{~m} / \mathrm{s}^2\right)\)TS EAMCET 2013 Medium
- Find the voltage \(V_2\) across \(R_2\) for the given circuit
TS EAMCET 2018 Easy - Three point charges \(1 \mathrm{C},-2 \mathrm{C}\) and \(-2 \mathrm{C}\) are placed at the vertices of an equilateral triangle of side 1 metre. The work done by an external force to increase the separation of the charges to 2 metre in joule is ( \(\varepsilon_0=\) permittivity of air)TS EAMCET 2004 Easy
- If \(\int \frac{x+5}{x^2+4 x+5} d x=a \log \left(x^2+4 x+5\right)\) \(+b \tan ^{-1}(x+k)+C\), then \((a, b, k)\) equalsTS EAMCET 2015 Easy