✓ Board-verified
Mathematics · 2024 · 1 mark
CBSE 2024 · Region 5 · Set 1 · Q15
If α and β are the zeroes of the polynomial p ( x )= kx^2-30 x +45 k and α+β=α β, then the value of k is:
If $\displaystyle \alpha$ and $\displaystyle \beta$ are the zeroes of the polynomial $\displaystyle \mathrm{p}(\mathrm{x})=\mathrm{kx}^{2}-30 \mathrm{x}+45 \mathrm{k}$ and $\displaystyle \alpha+\beta=\alpha \beta$, then the value of k is :
Official answer
(D)
$\displaystyle \frac{2}{3}$
More from Polynomials
- A polynomial p(x), which has sum of its zeroes equal to their product, is:2026
- If α, β are the zeroes of the polynomial p(x)=x^2-3 x-1, then find the value of 1/(α)+1/(β).2026
- Find the zeroes of the quadratic polynomial x^2-15 and verify the relationship between the zeroes and the coefficients of the polynomial.2024
- If α, β are zeroes of the polynomial x^2-1, then value of (α+β) is:2023
- If α and β are the zeroes of the polynomial p(x)=x^2-a x-b, then the value of (α+β+α β) is equal to:2025
- If one zero of the polynomial p(x)=6 x^2+37 x-(k-2) is reciprocal of the other, then find the value of k.2023
- α and β are zeroes of a quadratic polynomial x^2-a x-b. Obtain a quadratic polynomial whose zeroes are 3 α+1 and 3 β+1.2025
- If α and β are the zeroes of the polynomial a x^2-x+c. Obtain a polynomial whose zeroes are α-3 and β-3.2025
CBSE Class 10 Mathematics past-paper question from the 2024 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.