Question:
If the sum of the zeroes of the quadratic polynomial kx2 +2x+3k is equal to the product of its zeroes, then the value of k is
If the sum of the zeroes of the quadratic polynomial kx2 +2x+3k is equal to the product of its zeroes, then the value of k is
Updated On: May 13, 2024
- \(-\frac{2}{3}\)
- \(\frac{2}{3}\)
- \(-\frac{1}{3}\)
- \(\frac{1}{3}\)
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
The correct option is (A): \(-\frac{2}{3}\)
Was this answer helpful?
0
0
Top Questions on Polynomials
- \(\alpha, \beta\) are zeroes of the polynomial \(3x^2 - 8x + k\). Find the value of \(k\), if \(\alpha^2 + \beta^2 = \dfrac{40}{9}\)
- CBSE Class X - 2025
- Mathematics
- Polynomials
- If the zeroes of the polynomial $ax^2 + bx + \dfrac{2a}{b}$ are reciprocal of each other, then the value of $b$ is
- CBSE Class X - 2025
- Mathematics
- Polynomials
- Find the zeroes of the polynomial \(2x^2 + 7x + 5\) and verify the relationship between its zeroes and coefficients.
- CBSE Class X - 2025
- Mathematics
- Polynomials
- Two roots of the equation $ax^4 + bx^3 + cx^2 + dx + e = 0$ are positive and equal. If the product of the other two real roots is 1, then
- AP EAPCET - 2025
- Mathematics
- Polynomials
- $f(x)$ is an $n^{th}$ degree polynomial satisfying $f(x) = \frac{1}{2}\left[f(x)f\left(\frac{1}{x}\right) + f\left(\frac{f(x)}{x}\right)\right]$. If $f(2) = 33$, then the value of $f(3)$ is
- AP EAPCET - 2025
- Mathematics
- Polynomials
View More Questions
Questions Asked in AP POLYCET exam
- Area of a sector of a circle with radius 4 cm and angle 30° is (use \( \pi = 3.14 \)):
- The solution of \( x - 2y = 0 \) and \( 3x + 4y - 20 = 0 \) is:
- AP POLYCET - 2025
- Linear Equations
- If assumed mean of a data is 47.5, \( \sum f_i d_i = 435 \) and \( \sum f_i = 30 \), then mean of that data is:
- AP POLYCET - 2025
- Arithmetic Mean
- The points \( (1,5), (2,3) \) and \( (-2, -11) \) form a:
- A prime number \( p \) divides \( a^2 \) where \( a \) is a positive integer, then
- AP POLYCET - 2025
- Prime and Composite Numbers
View More Questions