No products in the cart.

If x/a=y/b=z/c,prove that x2/a2+y2/b2+z2/c2=(x+y+z)3/(a+b+c)2

CBSE, JEE, NEET, CUET

Question Bank, Mock Tests, Exam Papers

NCERT Solutions, Sample Papers, Notes, Videos

Install Now

If x/a=y/b=z/c,prove that x2/a2+y2/b2+z2/c2=(x+y+z)3/(a+b+c)2

Posted by Priti Pal 5 years, 2 months ago

ICSE & ISC > Class 10 > Mathematics

1 answers

Ram Kushwah 4 years, 8 months ago

The question must be like:

x3/a2 + y3/b2 + z3/c2=(x+y+z)3/(a+b+c)2

**************************************************************

Let x/a=y/b=z/c=k

then x=ak,y=bk,z=ck

Now RHS=(x+y+z)3/(a+b+c)2

=(ak+bk+ck)3/(a+b+c)2

=k3(a+b+c)3/(a+b+c)2

=k3(a+b+c)

=k3a+k3b+k3c

= (x/a)3*a + (y/b)3*b + (z/c)3*c

=RHS

=x3/a2 + y3/b2 + z3/c2

0Thank You

ANSWER

Related Questions

Ch 1

Posted by Gurman Harman 10 months, 4 weeks ago

ICSE & ISC > Class 10 > Mathematics

0 answers

9X - y = 3 and 9X - 3y = 9

Posted by Sania Iram Sania Iram 2 years ago

ICSE & ISC > Class 10 > Mathematics

1 answers

Neeraj and Hrithik went to a nearby pizza shop for lunch. The shop had a unique method for the price allotment of pizza every day. The price of each pizza they prepare on a specific day is equal to 4 more than twice the total number of pizzas they produced on that day. The total cost of production on that day was 448 rupees. Answer the following questions: 1. The quadratic equation for given situation is: 2. Find the number of pizzas produced. Or Write the general form of quadratic equation. 3. Find the cost of each pizza.

Posted by Krish Ydvv 5 months ago

ICSE & ISC > Class 10 > Mathematics

1 answers

2x2+x+4

Posted by Akash Singh 1 year, 8 months ago

ICSE & ISC > Class 10 > Mathematics

1 answers

Organisation, display and exhibition of students periodically and sessional work

Posted by Mahesh Kumar Karn 10 months, 2 weeks ago

ICSE & ISC > Class 10 > Mathematics

1 answers

In the given figure, ABCD is a cyclic quadrilateral, where DB = DC CF is a tangent to the circle at C. If

Posted by Karthik Das 1 year, 6 months ago

ICSE & ISC > Class 10 > Mathematics

3 answers

two chairs of same model

Posted by Krishna K 6 months, 3 weeks ago

ICSE & ISC > Class 10 > Mathematics

0 answers

Root of sec squre -1

Posted by Lakshmireddy Duddela 1 year ago

ICSE & ISC > Class 10 > Mathematics

0 answers

This content has been hidden. One or more users have flagged this content as inappropriate. Once content is flagged, it is hidden from users and is reviewed by myCBSEguide team against our Community Guidelines. If content is found in violation, the user posting this content will be banned for 30 days from using Homework help section. Suspended users will receive error while adding question or answer. Question comments have also been disabled. Read community guidelines at https://mycbseguide.com/community-guidelines.html

Few rules to keep homework help section safe, clean and informative.

Don't post personal information, mobile numbers and other details.
Don't use this platform for chatting, social networking and making friends. This platform is meant only for asking subject specific and study related questions.
Be nice and polite and avoid rude and abusive language. Avoid inappropriate language and attention, vulgar terms and anything sexually suggestive. Avoid harassment and bullying.
Ask specific question which are clear and concise.

Remember the goal of this website is to share knowledge and learn from each other. Ask questions and help others by answering questions.

Posted by Sourabh Yadav 1 year, 8 months ago

ICSE & ISC > Class 10 > Mathematics