The equations x^2 + b^2 = 1- 2bx and x^2 + a^2 = 1- 2ax have a common root. IF a AND b ARE NOT EQUAL, then prove that

mod. of (a-b) = 2.

Question

The equations x^2 + b^2 = 1- 2bx and x^2 + a^2 = 1- 2ax have a common root. IF a AND b ARE NOT EQUAL, then prove that mod. of (a-b) = 2.

Prudhvi teja · Answer

Dear shirdhar

Roots of first euqtion are -1-b,1-b

second one ra -1-a and 1-a

so -(1+b)=(1+a)

or 1-b =-1-a

b-a = 2

symmetry you get a-b=2

so mod (a-b)=2

Please feel free to post as many doubts on our discussion forum as you can.we will get you the answer and detailed solution very quickly.

All the best.

Regards,
Askiitians Experts
Prudhvi Teja

Now you can win exciting gifts by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

Guest

The equations x^2 + b^2 = 1- 2bx and x^2 + a^2 = 1- 2ax have a common root. IF a AND b ARE NOT EQUAL, then prove that mod. of (a-b) = 2.

The equations x^2 + b^2 = 1- 2bx and x^2 + a^2 = 1- 2ax have a common root. IF a AND b ARE NOT EQUAL, then prove that

mod. of (a-b) = 2.

1 Answers

Think You Can Provide A Better Answer ?

Other Related Questions on Algebra

ASK QUESTION

Answer and earn gift vouchers

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

Guest

IIT JEE Courses

One Year IIT Programme

Two Year IIT Programme

Crash Course

NEET Courses

One Year NEET Programme

Two Year NEET Programme

One to One

School Board

Live Online classes

Class 11 & 12

Class 9 & 10

Class 6, 7 & 8

Test Series

JEE test series

NEET test series

C.B.S.E test series

Complete Self Study Packages

FULL COURSE

For class 12th

For class 11th

The equations x^2 + b^2 = 1- 2bx and x^2 + a^2 = 1- 2ax have a common root. IF a AND b ARE NOT EQUAL, then prove that mod. of (a-b) = 2.

The equations x^2 + b^2 = 1- 2bx and x^2 + a^2 = 1- 2ax have a common root. IF a AND b ARE NOT EQUAL, then prove that mod. of (a-b) = 2.

1 Answers

Think You Can Provide A Better Answer ?

Other Related Questions on Algebra

ASK QUESTION

Answer and earn gift vouchers

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship

The equations x^2 + b^2 = 1- 2bx and x^2 + a^2 = 1- 2ax have a common root. IF a AND b ARE NOT EQUAL, then prove that

mod. of (a-b) = 2.