If A.M. and G.M. of roots of a quadratic | Class 11 Mathematics Chapter Sequence and Series, Sequence and Series NCERT Solutions

Question:

If A.M. and G.M. of roots of a quadratic equation are 8 and 5, respectively, then obtain the quadratic equation.

Answer:

Let the root of the quadratic equation be a and b.

According to the given condition,

$A. M. space equals fraction numerator a plus b over denominator 2 end fraction equals 8 rightwards double arrow a plus b space equals space 16 space space space space space space space space space space space space space.... left parenthesis 1 right parenthesis G. M. space equals space square root of a b end root space equals space 5 space rightwards double arrow a b space equals space 25 space space space space space space space space space space space space space space space space... left parenthesis 2 right parenthesis$

The quadratic equation is given by,

x²– x (Sum of roots) + (Product of roots) = 0

x² – x (a + b) + (ab) = 0

x² – 16x + 25 = 0 [Using (1) and (2)]

Thus, the required quadratic equation is x² – 16x + 25 = 0

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Read the question carefully and focus on the core concept being asked.
Reference examples and data from the chapter when answering questions about Sequence and Series.
Review previous year question papers to get an idea of how such questions may be framed in exams.
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Comments

lechu
2017-11-05 17:23:58

thank you for this

Meghana
2017-09-24 19:28:46

where is the 30th sum???????????? of exercise 2 in sequences and series

Riya
2017-08-25 21:42:39

Very helpful!!!ð§ð§ð§

sumaiya
2016-10-30 11:26:24

If u have any problem then go to saral study. Com Thanks a lot

Shreya Srinivas
2015-07-20 21:09:57

This is so helpful ! Thank you

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Welcome to the NCERT Solutions for Class 11 Mathematics - Chapter . This page offers a step-by-step solution to the specific question from Excercise 3 , Question 32: If A.M. and G.M. of roots of a quadratic equation are 8 and 5, respectively, then obtain the quadrat....

If A.M. and G.M. of roots of a quadratic | Class 11 Mathematics Chapter Sequence and Series, Sequence and Series NCERT Solutions

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