AP EAMCET · Maths · Quadratic Equation
If \(\alpha, \beta\) and \(\gamma\) are the roots of the equation \(x^3+3 x^2-7 x+5=0\), then the value of \(\frac{1}{\alpha}+\frac{1}{\beta}+\frac{1}{\gamma}\) is
- A \(\frac{-7}{5}\)
- B \(\frac{7}{5}\)
- C \(\frac{-3}{5}\)
- D \(\frac{3}{5}\)
Answer & Solution
Correct Answer
(B) \(\frac{7}{5}\)
Step-by-step Solution
Detailed explanation
Given, cubic equation, \[ x^3+3 x^2-7 x+5=0 ...(i) \] Let \(\alpha, \beta\) and \(\gamma\) are the roots of Eq. (i)…
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
- Let the plane \(a x+b y+c z+d=0\) bisect the line joining the points \((4,-3,1)\) and \((2,3,-5)\) at the right angles. If \(a, b, c, d\) are integers, then the minimum value of \(\left(a^2+b^2+c^2+d^2\right)\) isAP EAMCET 2022 Easy
- The system of equations \(x-2 y+3 z=5\), \(2 x-2 y+z=0,-x+2 y-3 z=6\) hasAP EAMCET 2018 Easy
- A line \(L\) through \(A(-5,-4)\) meets the lines \(x+3 y+2=0\) and \(2 x+y+4=0\), \(x-y-5=0\) at points \(B, C\) and \(D\) respectively. If \(\left(\frac{15}{A B}\right)^2+\left(\frac{10}{A C}\right)^2=\left(\frac{6}{A D}\right)^2\), then find the equation of \(L\)AP EAMCET 2021 Hard
- If \(\mathrm{a}\) and \(\mathrm{b}\) are the roots of the equation \(\mathrm{y}^2+\mathrm{y}+1=0\), then the value of \(a^4+b^4+a^{-1} b^{-1}\) isAP EAMCET 2023 Easy
- The points whose position vectors are \(2 \mathbf{i}+3 \mathbf{j}+4 \mathbf{k}, 3 \mathbf{i}+4 \mathbf{j}+2 \mathbf{k}\) and \(4 \mathbf{i}+2 \mathbf{j}+3 \mathbf{k}\) are the vertices ofAP EAMCET 2013 Easy
- \(\int \frac{\sin (2 x)}{\sin ^2(x)+2 \cos ^2(x)} d x=\)AP EAMCET 2020 Easy
More PYQs from AP EAMCET
- If the escape velocity of a body from the surface of the earth is \(11.2 \mathrm{~km} \mathrm{~s}^{-1}\), then the orbital velocity of a satellite in an orbit which is at a height equal to the radius of the earth isAP EAMCET 2025 Medium
- The slope of one of the direct common tangents drawn to the circles \(x^2+y^2-2 x+4 y+1=0\) and \(x^2+y^2-4 x-2 y+4=0\) isAP EAMCET 2025 Medium
- If of solution contains chloride ions, molarity of the solution will beAP EAMCET 2021 Easy
- Circles are drawn through the point \((2,0)\) to cut intercepts of length 5 units on the X -axis. If their centre lie in the first quadrant, then their equation isAP EAMCET 2025 Medium
- The speed of ripples on water surface depends on surface tension , density , and wavelength . Then the square of speed is proportional toAP EAMCET 2021 Medium
- If a function \(f: \mathbb{Z} \rightarrow \mathbb{Z}\) is defined by \(f(x)=x-(-1)^x\), then \(f(x)\) isAP EAMCET 2025 Medium