equation is x2 – x = λ (2x – 1)x2 – x – λ (2x – 1) = 0x2 – (2λ + 1)x + λ = 0Here a = 1, b = – (2λ + 1), c = λSum of the roots = – b/a⇒ –(– (2λ + 1)) = 0⇒ λ = – 1/2

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RD Sharma - Mathematics

Exercise 8.1

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Exercise 8.2

1 2 3 4 5 6

Exercise 8.3

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Exercise 8.4

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Exercise 8.5

1 2 3

Exercise 8.6

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Exercise 8.7

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Exercise 8.8

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Exercise 8.9

1 2 3 4 5 6 7

Exercise 8.10

1 2 3 4

Exercise 8.11

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Exercise 8.12

1 2 3 4 5

Exercise 8.13

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CCE - Formative Assessment

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Q. 17

If the sum of the

Class 10th RD Sharma - Mathematics 8. Quadratic Equations

Answer :

equation is x² – x = λ (2x – 1)

x² – x – λ (2x – 1) = 0

x² – (2λ + 1)x + λ = 0

Here a = 1, b = – (2λ + 1), c = λ

Sum of the roots = – b/a

⇒ –(– (2λ + 1)) = 0

⇒ λ = – 1/2

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