AP EAMCET · Maths · Quadratic Equation
If the equation having the roots as the values obtained oy diminishing each root of the equation \(x^3-3 x^2+2 x-1=0\) by \(\mathrm{K}\) is \(\mathrm{x}^3-\mathrm{x}-1=0\), then \(\mathrm{K}=\)
- A \(2\)
- B \(-1\)
- C \(1\)
- D \(-2\)
Answer & Solution
Correct Answer
(C) \(1\)
Step-by-step Solution
Detailed explanation
Let \(\alpha, \beta, \gamma\) be the root of \(x^3-3 x^2+2 x-1=0\) Then, \(\alpha+\beta+\gamma=3\) Roots of \(\mathrm{x}^3-\mathrm{x}-1=0\) is : \(\alpha-\mathrm{k}, \beta-\mathrm{k}, \gamma-\mathrm{k}\) Then, \((\alpha-k)+(\beta-\mathrm{k})+(\gamma-\mathrm{k})=0\)…
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 length of the chord intercepted by the circle \(x^2+y^2-6 x+8 y-5=0\) on the line \(2 x-y=5\) is equal to unitsAP EAMCET 2020 Medium
- A line passing through \(P(4,2)\) cuts the coordinate axes at \(A\) and \(B\) respectively. If \(O\) is the origin, then the locus of the centre of the circum-circle of \(\triangle O A B\) isAP EAMCET 2019 Medium
- In a binomial distribution, the difference between the mean and standard deviation is 3 and the difference between their squares is 21 , then \(\mathrm{P}(x=1): \mathrm{P}(x=2)=\)AP EAMCET 2024 Easy
- \(\int \frac{d x}{\sqrt{\sin ^3 x \cos (x-\alpha)}}=\)AP EAMCET 2024 Easy
- If the equation of the hyperbola having \((8,3),(0,3)\) as foci and \(\frac{4}{3}\) as eccentricity is \(\frac{(x-\alpha)^2}{p}-\frac{(y-\beta)^2}{q}=1\) then \(p+q=\)AP EAMCET 2025 Medium
- The length of the tangent drawn from the mid-point of the line joining the origin and the point \((4,-4)\), to the circle \(2 x^2+2 y^2-y=0\) is unitsAP EAMCET 2020 Medium
More PYQs from AP EAMCET
- The compound which exhibits both geometrical and optical isomerism isAP EAMCET 2017 Hard
- If \(a d-b c \neq 0\), then the area (in sq. units) of the parallelogram formed by the lines \(a x+b y+2=0, a x+b y+5=0, c x+d y+3=0\) and \(c x+d y+7=0\) isAP EAMCET 2018 Hard
- \(e^{\log \left(\cos h^{-1} 2\right)}\) is equal to :AP EAMCET 2006 Medium
- If \(A=\left[\begin{array}{lll}a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23}\end{array}\right]\) and \(B=\left[\begin{array}{lll}b_{11} & b_{12} & b_{13} \\ b_{21} & b_{22} & b_{23}\end{array}\right]\),
then which one of the following is True?AP EAMCET 2023 Medium - The function \(f: R \rightarrow R\) is defined by \(f(x)=3^{-x}\). Observe the following statements of it
I. \(f\) is one-one
II. \(f\) is onto
III. \(f\) is a decreasing function
Out of these, true statement areAP EAMCET 2004 Medium - When a particle moved from point \(A(2,2,3)\) to point \(B(6,6,9)\), its displacement vector isAP EAMCET 2021 Easy