Question:
If \(α,β,γ\) are the roots of \(4x^3-6x^2+7x+3=0\), then the value of \(αβ+βγ+γα\) is
If \(α,β,γ\) are the roots of \(4x^3-6x^2+7x+3=0\), then the value of \(αβ+βγ+γα\) is
Updated On: May 7, 2024
- \(-\frac 74\)
- \(\frac 74\)
- \(-\frac 23\)
- \(-\frac 32\)
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
The correct option is (B): \(\frac 74\).
Was this answer helpful?
0
0
Top Questions on Polynomials
- Find the zeroes of the polynomial $f(t) = t^2 + 4\sqrt{3}t - 15$ and verify the relationship between the zeroes and the coefficients of the polynomial.
- CBSE Class X - 2024
- Mathematics
- Polynomials
- The graph of a polynomial intersects the y-axis at one point and the x-axis at two points. The number of zeroes of this polynomial are :
- CBSE Class X - 2024
- Mathematics
- Polynomials
- Assertion (A): Zeroes of a polynomial \(p(x) = x^2 − 2x − 3\) are -1 and 3.
Reason (R): The graph of polynomial \(p(x) = x^2 − 2x − 3\) intersects the x-axis at (-1, 0) and (3, 0).- CBSE Class X - 2024
- Mathematics
- Polynomials
- If one of the zeroes of the quadratic polynomial \((\alpha - 1)x^2 + \alpha x + 1\) is \(-3\), then the value of \(\alpha\) is:
- CBSE Class X - 2024
- Mathematics
- Polynomials
- For what value of \(k\), the product of zeroes of the polynomial \(kx^2 - 4x - 7\) is 2?
- CBSE Class X - 2024
- Mathematics
- Polynomials
View More Questions
Questions Asked in AP POLYCET exam
- If the centroid of a triangle formed by the points \((a,b), (b, c)\) and \((c,a)\) is at the origin, then \(a^3+b^3+c^3 =\)
- AP POLYCET - 2024
- Triangles
- If a sin 45°= b cosec 30°, then the value of \(\frac {a^4}{b^4}\) is
- AP POLYCET - 2024
- Trigonometry
- The ratio of the sum and product of the roots of the quadratic equation \(7x^2-12x+18=0\) is
- AP POLYCET - 2024
- Quadratic Equations
- If the slope of the line joining the points (4,2) and (3,-k) is -2, then the value of k is
- AP POLYCET - 2024
- Slope of a line
- If 25 cm each is the object and image distances due to convex lens, then its focal length is
- AP POLYCET - 2024
- Light - Reflection and Refraction
View More Questions