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Maths Book back answers and solution for Exercise questions - Mathematics : Algebra: The Relation between Roots and Coefficients of a Quadratic Equation: Exercise Problem Questions with Answer

1. Write each of the following expression in terms of *α* + *β* and *αβ* .

(iii) (3*α* - 1)(3*β* -1)

2. The roots of the equation 2*x*2 − 7*x* + 5 = 0 are α and β. Without solving for the roots, find

3. The roots of the equation *x*2 + 6*x* − 4 = 0 are *α, β*. Find the quadratic equation whose roots are

(i) *α* 2 and *β* 2

(ii) 2/*α* and 2/*β*

(iii) *α*2*β* and *β*2*α*

4. If α, β are the roots of 7*x*2 + *ax* + 2 = 0 and if *β* − *α* = -13/7. Find the values of *a.*

5. If one root of the equation 2*y*2 − *ay* + 64 = 0 is twice the other then find the values of *a.*

6. If one root of the equation 3*x*2 + *kx* + 81 = 0 (having real roots) is the square of the other then find *k*.

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10th Mathematics : UNIT 3 : Algebra : Exercise 3.14: The Relation between Roots and Coefficients of a Quadratic Equation | Problem Questions with Answer, Solution | Mathematics

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