Question:
If A.M. and G.M. of roots of a quadratic equation are 5 and 4 respectively, then the quadratic equation is
If A.M. and G.M. of roots of a quadratic equation are 5 and 4 respectively, then the quadratic equation is
Updated On: Apr 16, 2025
- $x^2-10x-16=0 $
- $x^2+10x+16=0 $
- $x^2+10x-16=0 $
- $x^2-10x+16=0 $
Show Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
The correct answer is Option (D) : $x^2-10x+16=0 $
Was this answer helpful?
2
1
Top KCET Mathematics Questions
- If $a, b$ and $c \in N$ which one of the following is not true ?
- If $a | (b + c)$ and $a| (b-c)$ where $a,b,c \in \, N $ then
- For the parabola $y^2 = 4x$, the point $P$ whose focal distance is $17$, is
- $G = \left\{\begin{bmatrix} x&x \\[0.3em] x & x \end{bmatrix} , x \text{ is a nonzero real number} \right\}$ is a group with respect to matrix multiplication. In this group, the inverse of $\begin{bmatrix} \frac{1}{3} &\frac{1}{3} \\[0.3em] \frac{1}{3} & \frac{1}{3} \end{bmatrix}$ is
- How many $5$ digit telephone numbers can be constructed using the digits $0$ to $9$, if each number starts with $67$ and no digit appears more than once ?
View More Questions
Top KCET Complex Numbers and Quadratic Equations Questions
- If $\left( \frac{ 1 - i}{1 + i}\right)^{96} = a + ib $ then (a,b) is
- If $\alpha$ and $\beta$ are the roots of $x^2 + x + 1 = 0$ then $\alpha^{16}+\beta^{16}$=
- If $\alpha ,\beta,\gamma$ are the roots of the equation $x^3+4x+2=0$ then $\alpha^3+\beta^3+\gamma^3$
- In Argand's plane, the point corresponding to $\frac {(1-i\sqrt {3})(1+i)} {(\sqrt {3}+i)}$ lies in
- If $\alpha , \beta ,\gamma$ are the roots of $x^3-2x+1=0$, then the value of $(\sum \frac {1} {\alpha +\beta -\gamma}$) is
View More Questions
Top KCET Questions
- Which of the following is not true for oxidation?
- If $a, b$ and $c \in N$ which one of the following is not true ?
- When $50\, cm ^{3}$ of $0.2\, N$ $H_{2} SO _{4}$ is mixed with $50 cm ^{3}$ of $1 N\, KOH$, the heat liberated is :
- If $a | (b + c)$ and $a| (b-c)$ where $a,b,c \in \, N $ then
- Which of the following is NOT a pair of functional isomers?
View More Questions