AP EAMCET · Maths · Quadratic Equation
If one root of the cubic equation \(x^3+36=7 x^2\) is double of another, then the number of negative roots are
- A \(1\)
- B \(2\)
- C \(3\)
- D \(0\)
Answer & Solution
Correct Answer
(A) \(1\)
Step-by-step Solution
Detailed explanation
Let \(a, 2 a\) and \(b\) be roots of the cubic equation \(x^3+36-7 x^2=0\) So, sum of roots \(=-\frac{(-7)}{1}\) \(\therefore \quad a+2 a+b=7\) \(\Rightarrow \quad 3 a+b=7\) ...(i) Now, \(a(2 a) b=36\) \(\left[\right.\) product of roots \(\left.=\frac{d}{a}\right]\)…
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 bag contains 21 toys numbered 1 to 21 . A toy is drawn and then another toy is drawn without replacement. The probability that both toys will show even numbers isAP EAMCET 2022 Easy
- The sum of all the rational roots of the equation \(6 x^6-25 x^5+31 x^4-31 x^2+25 x-6=0\) isAP EAMCET 2019 Medium
- Let be a straight line passing through the origin and be the straight line . If the intercepts made by the circle on and are equal, then which of the following equations representAP EAMCET 2021 Medium
- Assertion (A): If \(\mathrm{f}(\mathrm{x})\) is not continuous at \(\mathrm{x}=\mathrm{a}\), then it is not differentiable at \(x=a\)
Reason (R): If \(f(x)\) is differentiable at a point, then it is continuous at that pointAP EAMCET 2023 Easy - In solving a system of linear equations \(\mathrm{AX}=\mathrm{B}\) by Cramer's rule, in the usual notation, if \(\Delta_1=\left|\begin{array}{ccc}-11 & 1 & -7 \\ -4 & 1 & -2 \\ 5 & 1 & 1\end{array}\right|\) and \(\Delta_3=\left|\begin{array}{ccc}4 & 1 & -11 \\ 1 & 1 & -4 \\ 4 & 1 & 5\end{array}\right|\), then \(\mathrm{X}=\)AP EAMCET 2025 Medium
- If \(g\left(\frac{t+1}{2 t+1}\right)=t+1\), then \(\int g(x) d x=\)AP EAMCET 2018 Medium
More PYQs from AP EAMCET
- If are the least and the greatest values respectively of where and thenAP EAMCET 2019 Easy
- Which of the following statements is not correct?AP EAMCET 2019 Medium
- Assertion (A) A room can be cooled by opening the door of a refrigerator in it.
Reason (R) Heat always flows from a body at higher temperature to a body at lower temperature.AP EAMCET 2018 Easy - For any integer \(n \geq 1\), the remainder when the expression \(n^5-5 n^3+4 n+139\) is divided by 120 isAP EAMCET 2017 Medium
- The parabola with directrix \(x+2 y-1=0\) and focus \((1,0)\) isAP EAMCET 2020 Easy
- Using the data provided, find the value of equilibrium constant for the following reaction at and atm pressure.
AP EAMCET 2021 Medium