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Quadratic Equations - NCERT Class 10

Question 1 of 4
Q1.

If the roots of x2−5x+6=0x^2 - 5x + 6 = 0 are α\alpha and β\beta, find 1α+1β\frac{1}{\alpha}+\frac{1}{\beta}.

Correct Answer: A

Explanation

For ax2+bx+c=0ax^2+bx+c=0, α+β=−b/a=5\alpha+\beta=-b/a=5 and αβ=c/a=6\alpha\beta=c/a=6. Therefore 1/α+1/β=(α+β)/(αβ)=5/61/\alpha+1/\beta=(\alpha+\beta)/(\alpha\beta)=5/6.

  1. Identify the relevant relationship or formula.
  2. Substitute the values carefully.
  3. Simplify and check the selected option.
  4. Confirm the answer against the original question.

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