Home
Class 12
MATHS
(x-ab)/(a+b) +(x-ac)/(a+c) +(x-bc)/(b+c)...

`(x-ab)/(a+b) +(x-ac)/(a+c) +(x-bc)/(b+c)=a+b+c`, then x=

A

`Sigma a`

B

`Sigma ab`

C

abc

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Problem Set - 5 (True And False)|5 Videos

  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Problem Set - 5 (Fill In The Blanks)|10 Videos

  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Problem Set - 4 (Fill In The Blanks)|4 Videos

  • THE PARABOLA

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (Assertion/ Reason)|1 Videos

  • TRIGONOMETRICAL EQUATIONS

    ML KHANNA|Exercise SELF ASSESSMENT TEST |27 Videos

Similar Questions

Explore conceptually related problems

Solve the equation, (x - ab)/(a + b) + (x - bc)/(b + c) + (x - ca)/(c + a)= a + b + c . What happens if 1/(a + b) + 1/( b + c) + 1/(c + a) = 0

Find x in terms of a , b and c : (a)/(x - a) + (b)/(x - b) = (2 c)/(x - c) , x - a , b , c

The equation (a(x-b)(x-c))/((a-b)(a-c)) + (b(x-c)(x-a))/((b-c)(b-a))+ (c (x-a) (x-b))/((c-a)(c-b))= x is satisfied by

(x^(a^2 + b^2)/x^(ab))^(a+b) (x^(b^2 + c^2)/x^(bc))^(b+c) (x^(c^2 + a^2)/x^(ac))^(a+c) = x^(2(a^3+b^3+c^3))

If in the expansion of (1+x)^(n),a,b,c are three consecutive coeficients,then n=(ac+ab+bc)/(b^(2)+ac) b.(2ac+ab+bc)/(b^(2)-ac) c.(ab+ac)/(b^(2)-ac) d.none of these

(a^2/(x-a)+b^2/(x-b)+c^2/(x-c)+a+b+c)/(a/(x-a)+b/(x-b)+c/(x-c))

"If "f(x)=|{:(x+a^(2),ab,ac),(ab, x+b^(2),bc),(ac,bc, x+c^(2)):}|," then prove that " f'(x)=3x^(2)+2x(a^(2)+b^(2)+c^(2)) .

The value of ((x^(a))/(x^(b)))^((1)/(ab)) xx ((x^(b))/(x^(c)))^((1)/(bc)) xx ((x^(c))/(x^(a)))^((1)/(ca)) is equal to

If a:b=4:5 and b:c=2:3, then a:c=