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

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32

RD Sharma - Mathematics

Exercise 8.1

1 2 3 4 5

Exercise 8.2

1 2 3 4 5 6

Exercise 8.3

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

Exercise 8.4

1 2 3 4 5 6 7 8 9 10

Exercise 8.5

1 2 3

Exercise 8.6

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21

Exercise 8.7

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40

Exercise 8.8

1 2 3 4 5 6 7 8 9 10 11 12 13 14

Exercise 8.9

1 2 3 4 5 6 7

Exercise 8.10

1 2 3 4

Exercise 8.11

1 2 3 4 5 6 7 8 9

Exercise 8.12

1 2 3 4 5

Exercise 8.13

1 2 3 4 5 6 7 8 9 10 11

CCE - Formative Assessment

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32

Q. 173.8( 8 Votes )

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

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

PREVIOUSIf (a2 NEXTIf x = 1 is a com

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

view all courses