Home
Class 12
MATHS
Eliminate x,y and z from the following e...

Eliminate x,y and z from the following equations:
`(x)/(y+z)=a,y/(z+x)=b,z/(x+y)=c`

Text Solution

Verified by Experts

The correct Answer is:
2abc+bc+ca+ab=1
Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Multiple Correct Answers Type)|5 Videos

  • DETERMINANT

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Integer Answer Type )|5 Videos

  • DETERMINANT

    CHHAYA PUBLICATION|Exercise EXERCISE 2B|111 Videos

  • DEFINITE INTEGRAL AS AN AREA

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

  • DIFFERENTIAL EQUATIONS OF THE FIRST ORDER AND FIRST DEGREE

    CHHAYA PUBLICATION|Exercise E ASSERTION-REASON TYPE|2 Videos

Similar Questions

Explore conceptually related problems

Eliminate x , y and z from the following equation: (bx)/(y+z) =a ,(cy)/(z+x)=b,(az)/(x+y)=c

Find the value of x, y and z from the following equations: (i) [(4,3),(x,5)]=[(y,z),(1,5)] (ii) [(x+y, 2 ),(5+z, xy)]=[(6,2),(5,8)] (iii) [(x+y+z),(x+z), (y+z)]=[(9),(5),(7)]

Solve the system of equations in x,y and z satisfying the following equations x+[y]+{z}=3.1, y+[z]+{x}=4.3 and z+[x]+{y}=5.4

Solve the following equations by Cramer's method: x+y=1,y+z= 2,x+z=3.

Solve by matrix inversion method the following system of equations. x + y + z = 6, x + 2z = 7, 3x + y + z = 12

find the values of x,y,z and t when the following matrices are equal : {:[(x+y,y-z),(5-t,7+x)]and {:[(t-x,z-t),(z-y,x+z+t)]

Simplify the following: -x+y+z-(2x-3y+z)

Solve the following system of homogeneous equations. x+2y-z=0,x-2y+2z=0,x+z=0

Simplify: x(x-y)+y(y-z)+z(z-x)