Q. 224.8( 6 Votes )

# If α and β are the zeroes of the polynomial 6y^{2} – 7y + 2 Find the quadratic polynomial whose zeroes are 1/α and 1/β.

Answer :

Given quadratic equation: 6y^{2} – 7y + 2

Here, sum of roots:

Product of roots:

For quadratic equation to have roots as ; & :

= 3

So, the required equation =

= 2x^{2} – 7x + 6.

Rate this question :

How useful is this solution?

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

PREVIOUSA car goes uphill at the rate of 30 km an hour and downhill at the rate of 50 km an hour after 15 hours it has covered 650km. How long does it go downhill and uphill respectively?NEXTThe two legs of the right triangle are equal and square of its hypotenuse is 50. Find the length of each leg?

Related Videos

Get To Know About Quadratic Formula42 mins

Quiz | Knowing the Nature of Roots44 mins

Take a Dip Into Quadratic graphs32 mins

Foundation | Practice Important Questions for Foundation54 mins

Nature of Roots of Quadratic EquationsFREE Class

Getting Familiar with Nature of Roots of Quadratic Equations51 mins

Quadratic Equation: Previous Year NTSE Questions32 mins

Champ Quiz | Quadratic Equation33 mins

Balance the Chemical Equations49 mins

Champ Quiz | Quadratic Equation48 mins

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

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

RELATED QUESTIONS :

Find quadratic polynomial whose zeroes are :

KC Sinha - Mathematics

Find quadratic polynomial whose zeroes are :

KC Sinha - Mathematics

Find quadratic polynomial whose zeroes are :

KC Sinha - Mathematics

Find the quadratic polynomial whose zeroes are square of the zeroes of the polynomial x^{2} – x – 1.

Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively:

KC Sinha - Mathematics

If the product of zeroes of the polynomial α^{2} – 6x – 6 is 4, find the value of a.