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If one of the zeroes of the quadratic polynomial (k- 1)x²+kx+1 is-3, then the value of k is:
4/3
b. -4/3
C. 2/3
d. -2/3?
4/3
b. -4/3
C. 2/3
d. -2/3?
Most Upvoted Answer
If one of the zeroes of the quadratic polynomial (k- 1)x²+kx+1 is-3, t...
Understanding the Problem:
Given that one of the zeroes of the quadratic polynomial is -3, we can use the fact that the sum of the roots of a quadratic equation is -b/a and the product of the roots is c/a, where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c.
Using the Sum and Product of Roots:
Let's assume the other root of the quadratic polynomial is α.
According to the given condition, the sum of the roots is α + (-3) = -k/1 = -k.
And, the product of the roots is α * (-3) = 1/1 = 1.
Applying the Sum and Product of Roots formulas:
From the sum of roots:
α - 3 = -k
α = -k + 3
From the product of roots:
α * (-3) = 1
(-k + 3) * (-3) = 1
3k - 9 = 1
3k = 10
k = 10/3 = 2/3
Therefore, the value of k is 2/3.
So, the correct answer is:
c. 2/3
Given that one of the zeroes of the quadratic polynomial is -3, we can use the fact that the sum of the roots of a quadratic equation is -b/a and the product of the roots is c/a, where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c.
Using the Sum and Product of Roots:
Let's assume the other root of the quadratic polynomial is α.
According to the given condition, the sum of the roots is α + (-3) = -k/1 = -k.
And, the product of the roots is α * (-3) = 1/1 = 1.
Applying the Sum and Product of Roots formulas:
From the sum of roots:
α - 3 = -k
α = -k + 3
From the product of roots:
α * (-3) = 1
(-k + 3) * (-3) = 1
3k - 9 = 1
3k = 10
k = 10/3 = 2/3
Therefore, the value of k is 2/3.
So, the correct answer is:
c. 2/3
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If one of the zeroes of the quadratic polynomial (k- 1)x²+kx+1 is-3, then the value of k is:4/3b. -4/3C. 2/3d. -2/3?
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If one of the zeroes of the quadratic polynomial (k- 1)x²+kx+1 is-3, then the value of k is:4/3b. -4/3C. 2/3d. -2/3? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If one of the zeroes of the quadratic polynomial (k- 1)x²+kx+1 is-3, then the value of k is:4/3b. -4/3C. 2/3d. -2/3? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If one of the zeroes of the quadratic polynomial (k- 1)x²+kx+1 is-3, then the value of k is:4/3b. -4/3C. 2/3d. -2/3?.
If one of the zeroes of the quadratic polynomial (k- 1)x²+kx+1 is-3, then the value of k is:4/3b. -4/3C. 2/3d. -2/3? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If one of the zeroes of the quadratic polynomial (k- 1)x²+kx+1 is-3, then the value of k is:4/3b. -4/3C. 2/3d. -2/3? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If one of the zeroes of the quadratic polynomial (k- 1)x²+kx+1 is-3, then the value of k is:4/3b. -4/3C. 2/3d. -2/3?.
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