Defence Exam  >  Defence Questions  >  The non-zero solution of the equation (a &nda... Start Learning for Free
The non-zero solution of the equation (a – x2) / (bx) – (b – x) /c = (c – x) /b – (b – x2) / (cx), where b ≠ 0, c ≠ 0 is
  • a)
    (b2 + ac) / (b2 + c2)
  • b)
    (b2 – ac) / (b2 – c2)
  • c)
    (b2 – ac) / (b2 + c2)
  • d)
    (b2 + ac) / (b2 – c2)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The non-zero solution of the equation (a – x2) / (bx) – (b...
(a – x2) / (bx) – (b – x) /c = (c – x) /b – (b – x2) / (cx)
⇒ (a – x2) / (bx) + (b – x2) / (cx) = (c – x) /b + (b – x) /c
Taking LCM of the denominator and combining them into a single factor
[c × (a – x2) + b × (b – x2)] / (bcx) = [c × (c – x) + b × (b – x)] / (bc)
⇒ [ac - cx2 + b2 – bx2] /x = [c2 – cx + b2 – bx]
⇒ b2 + ac – x2 (b + c) = x × [(b2 + c2) – x (b + c)]
⇒ b2 + ac – x2 (b + c) = (b2 + c2) x – x2 (b + c)
⇒ b2 + ac = (b2 + c2) x
∴ x = (b2 + ac) / (b2 + c2)
View all questions of this test
Most Upvoted Answer
The non-zero solution of the equation (a – x2) / (bx) – (b...
(a – x2) / (bx) – (b – x) /c = (c – x) /b – (b – x2) / (cx)
⇒ (a – x2) / (bx) + (b – x2) / (cx) = (c – x) /b + (b – x) /c
Taking LCM of the denominator and combining them into a single factor
[c × (a – x2) + b × (b – x2)] / (bcx) = [c × (c – x) + b × (b – x)] / (bc)
⇒ [ac - cx2 + b2 – bx2] /x = [c2 – cx + b2 – bx]
⇒ b2 + ac – x2 (b + c) = x × [(b2 + c2) – x (b + c)]
⇒ b2 + ac – x2 (b + c) = (b2 + c2) x – x2 (b + c)
⇒ b2 + ac = (b2 + c2) x
∴ x = (b2 + ac) / (b2 + c2)
Free Test
Community Answer
The non-zero solution of the equation (a – x2) / (bx) – (b...
A
Explore Courses for Defence exam
The non-zero solution of the equation (a – x2) / (bx) – (b – x) /c = (c – x) /b – (b – x2) / (cx), where b ≠ 0, c ≠ 0 isa)(b2+ ac) / (b2+ c2)b)(b2– ac) / (b2– c2)c)(b2– ac) / (b2+ c2)d)(b2+ ac) / (b2– c2)Correct answer is option 'A'. Can you explain this answer?
Question Description
The non-zero solution of the equation (a – x2) / (bx) – (b – x) /c = (c – x) /b – (b – x2) / (cx), where b ≠ 0, c ≠ 0 isa)(b2+ ac) / (b2+ c2)b)(b2– ac) / (b2– c2)c)(b2– ac) / (b2+ c2)d)(b2+ ac) / (b2– c2)Correct answer is option 'A'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about The non-zero solution of the equation (a – x2) / (bx) – (b – x) /c = (c – x) /b – (b – x2) / (cx), where b ≠ 0, c ≠ 0 isa)(b2+ ac) / (b2+ c2)b)(b2– ac) / (b2– c2)c)(b2– ac) / (b2+ c2)d)(b2+ ac) / (b2– c2)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The non-zero solution of the equation (a – x2) / (bx) – (b – x) /c = (c – x) /b – (b – x2) / (cx), where b ≠ 0, c ≠ 0 isa)(b2+ ac) / (b2+ c2)b)(b2– ac) / (b2– c2)c)(b2– ac) / (b2+ c2)d)(b2+ ac) / (b2– c2)Correct answer is option 'A'. Can you explain this answer?.
Solutions for The non-zero solution of the equation (a – x2) / (bx) – (b – x) /c = (c – x) /b – (b – x2) / (cx), where b ≠ 0, c ≠ 0 isa)(b2+ ac) / (b2+ c2)b)(b2– ac) / (b2– c2)c)(b2– ac) / (b2+ c2)d)(b2+ ac) / (b2– c2)Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Defence. Download more important topics, notes, lectures and mock test series for Defence Exam by signing up for free.
Here you can find the meaning of The non-zero solution of the equation (a – x2) / (bx) – (b – x) /c = (c – x) /b – (b – x2) / (cx), where b ≠ 0, c ≠ 0 isa)(b2+ ac) / (b2+ c2)b)(b2– ac) / (b2– c2)c)(b2– ac) / (b2+ c2)d)(b2+ ac) / (b2– c2)Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The non-zero solution of the equation (a – x2) / (bx) – (b – x) /c = (c – x) /b – (b – x2) / (cx), where b ≠ 0, c ≠ 0 isa)(b2+ ac) / (b2+ c2)b)(b2– ac) / (b2– c2)c)(b2– ac) / (b2+ c2)d)(b2+ ac) / (b2– c2)Correct answer is option 'A'. Can you explain this answer?, a detailed solution for The non-zero solution of the equation (a – x2) / (bx) – (b – x) /c = (c – x) /b – (b – x2) / (cx), where b ≠ 0, c ≠ 0 isa)(b2+ ac) / (b2+ c2)b)(b2– ac) / (b2– c2)c)(b2– ac) / (b2+ c2)d)(b2+ ac) / (b2– c2)Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of The non-zero solution of the equation (a – x2) / (bx) – (b – x) /c = (c – x) /b – (b – x2) / (cx), where b ≠ 0, c ≠ 0 isa)(b2+ ac) / (b2+ c2)b)(b2– ac) / (b2– c2)c)(b2– ac) / (b2+ c2)d)(b2+ ac) / (b2– c2)Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The non-zero solution of the equation (a – x2) / (bx) – (b – x) /c = (c – x) /b – (b – x2) / (cx), where b ≠ 0, c ≠ 0 isa)(b2+ ac) / (b2+ c2)b)(b2– ac) / (b2– c2)c)(b2– ac) / (b2+ c2)d)(b2+ ac) / (b2– c2)Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Defence tests.
Explore Courses for Defence exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev