JEE Exam > JEE Questions > If ab + bc + ca = 0, then find1/a2-bc + 1/b2&...
Start Learning for Free
If ab + bc + ca = 0, then find 1/a2-bc + 1/b2 – ca + 1/c2- ab
- a)π
- b)0
- c)-1
- d)2π
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If ab + bc + ca = 0, then find1/a2-bc + 1/b2– ca + 1/c2- aba)&pi...
Given ab+bc+ca=0 and asked to find value 1/(a2-bc
) + 1/(c2-ab) + 1/(a2-bc)Put -ac = ab + bc ; -ab = ac+ bc and -bc =ab +
Free Test
FREE
| Start Free Test |
Community Answer
If ab + bc + ca = 0, then find1/a2-bc + 1/b2– ca + 1/c2- aba)&pi...
Given ab + bc + ca = 0, we can rewrite the expression 1/a^2 - bc as:
1/a^2 - bc = (ab + bc + ca) / (a^2) - bc
= (ab + bc + ca - a^2 * bc) / (a^2)
= (ab + bc - a^2 * bc + ca) / (a^2)
= (b(a - ac) + c(a - ac)) / (a^2)
= (b - bc)(a - ac) / (a^2)
= b(1 - c)(a - ac) / (a^2)
= b(1 - c)(1 - ac) / a
Similarly, we can rewrite the expression 1/b^2 as:
1/b^2 = (ab + bc + ca) / (b^2)
= (ab + bc + ca - ab^2) / (b^2)
= (bc(a - ab) + ca(a - ab)) / (b^2)
= (c(a - ab) + a - ab) / (b)
= (1 - ab)(c - 1) / b
Therefore, the value of 1/a^2 - bc is b(1 - c)(1 - ac) / a and the value of 1/b^2 is (1 - ab)(c - 1) / b.
1/a^2 - bc = (ab + bc + ca) / (a^2) - bc
= (ab + bc + ca - a^2 * bc) / (a^2)
= (ab + bc - a^2 * bc + ca) / (a^2)
= (b(a - ac) + c(a - ac)) / (a^2)
= (b - bc)(a - ac) / (a^2)
= b(1 - c)(a - ac) / (a^2)
= b(1 - c)(1 - ac) / a
Similarly, we can rewrite the expression 1/b^2 as:
1/b^2 = (ab + bc + ca) / (b^2)
= (ab + bc + ca - ab^2) / (b^2)
= (bc(a - ab) + ca(a - ab)) / (b^2)
= (c(a - ab) + a - ab) / (b)
= (1 - ab)(c - 1) / b
Therefore, the value of 1/a^2 - bc is b(1 - c)(1 - ac) / a and the value of 1/b^2 is (1 - ab)(c - 1) / b.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
If ab + bc + ca = 0, then find1/a2-bc + 1/b2– ca + 1/c2- aba)πb)0c)-1d)2πCorrect answer is option 'B'. Can you explain this answer?
Question Description
If ab + bc + ca = 0, then find1/a2-bc + 1/b2– ca + 1/c2- aba)πb)0c)-1d)2πCorrect answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If ab + bc + ca = 0, then find1/a2-bc + 1/b2– ca + 1/c2- aba)πb)0c)-1d)2πCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If ab + bc + ca = 0, then find1/a2-bc + 1/b2– ca + 1/c2- aba)πb)0c)-1d)2πCorrect answer is option 'B'. Can you explain this answer?.
If ab + bc + ca = 0, then find1/a2-bc + 1/b2– ca + 1/c2- aba)πb)0c)-1d)2πCorrect answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If ab + bc + ca = 0, then find1/a2-bc + 1/b2– ca + 1/c2- aba)πb)0c)-1d)2πCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If ab + bc + ca = 0, then find1/a2-bc + 1/b2– ca + 1/c2- aba)πb)0c)-1d)2πCorrect answer is option 'B'. Can you explain this answer?.
Solutions for If ab + bc + ca = 0, then find1/a2-bc + 1/b2– ca + 1/c2- aba)πb)0c)-1d)2πCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of If ab + bc + ca = 0, then find1/a2-bc + 1/b2– ca + 1/c2- aba)πb)0c)-1d)2πCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If ab + bc + ca = 0, then find1/a2-bc + 1/b2– ca + 1/c2- aba)πb)0c)-1d)2πCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for If ab + bc + ca = 0, then find1/a2-bc + 1/b2– ca + 1/c2- aba)πb)0c)-1d)2πCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of If ab + bc + ca = 0, then find1/a2-bc + 1/b2– ca + 1/c2- aba)πb)0c)-1d)2πCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If ab + bc + ca = 0, then find1/a2-bc + 1/b2– ca + 1/c2- aba)πb)0c)-1d)2πCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup