Home
Class 10
MATHS
alpha , beta are the zeros of the quadr...

` alpha , beta ` are the zeros of the quadratic polynomial
` p (x) = x^(2) - (k + 6) x + 2 ( 2 k - 1)` . Find the value of k, if ` alpha + beta = (1)/(3) alpha beta `

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 12

    EDUCART PUBLICATION|Exercise PART - B (SECTION -IV) |9 Videos

  • SAMPLE PAPER 12

    EDUCART PUBLICATION|Exercise PART - B (SECTION -V) |4 Videos

  • SAMPLE PAPER 12

    EDUCART PUBLICATION|Exercise PART - A (SECTION -II) |14 Videos

  • SAMPLE PAPER - 6

    EDUCART PUBLICATION|Exercise PART - B (SECTION - IV)|13 Videos

  • SAMPLE PAPER 5

    EDUCART PUBLICATION|Exercise Part B (Section - V)|4 Videos

Similar Questions

Explore conceptually related problems

If alpha,beta are the zeroes of the quadratic polynomial p(x)=x^(2)-(k-6)x+(2k+1), find the value of k when alpha+beta=alpha beta

If alpha and beta are the zeros of the quadratic polynomial f(x)=kx^(2)+4x+4 such that alpha^(2)+beta^(2)=24, find the value of k

If alpha and beta are the zeros of the quadratic polynomial p(x)=4x^(2)-5x-1, find the value of alpha^(2)beta+alpha beta^(2)

If alpha and beta are the zeros of the Quadratic Polynomial F(X) = 6x^2 + x − 2 , Find the Value of alpha/beta + beta/alpha

If alpha and beta are the zeros of the quadratic polynomial f(x)=x^(2)-x-4, find the value of (1)/(alpha)+(1)/(beta)-alpha beta

If alpha, beta are the zeros of the polynomial f(x) = x^2 – 3x + 2 , then find 1/alpha + 1/beta .

If alpha and beta are the zeros of the quadratic polynomial f(x) = 3x^2 - 7x - 6 , find a polynomial whose zeros are (i) alpha^(2) and beta^(2) , (ii) 2alpha + 3beta and 3alpha + 2beta .

If alpha and beta be the zeroes of the quadratic polynomial p(x) = 2x^2 - kx + 7 since that alpha^2 + beta^2 - 1/2 alpha beta = (23)/(2) , find the value of k.

If alpha and beta are the zeros of the quadratic polynomial f(x)=6x^(2)+x-2, find the value of (alpha)/(beta)+(beta)/(alpha)

If alpha and beta are the zeros of the quadratic polynomial f(x)=5x^(2)-7x+1, find the value of (1)/(alpha)+(1)/(beta)