Home
Class 12
MATHS
Eliminating x and y from the following e...

Eliminating x and y from the following equations, obtain the value of k:
ax+hy+g=0,hx+by+f=0,gx+fy+c=k

Text Solution

Verified by Experts

The correct Answer is:
k=`(abc+2fgh-af^2bg^2-ch^2)/(ab-h^2)`
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 equations: (x)/(y+z)=a,y/(z+x)=b,z/(x+y)=c

Find the real values of K for which the following system of linear equations has no-trivial solution: x - ky - z = 0, kx - y - z = 0, x + y-z = 0

Find the real values of K for which the following system of linear equations has non-trival solutions: x-ky+z = 0, kx + 3y - kz = 0, 3x + y-z = 0

Answer the following questions: For what value of k the following function would be a p.m.f.? f(x)={(k 1/2^x, "" , (x=0,1,2)),(0, "" , otherwise):} Also find the mean of the distribution.

Find the real values of k for which the following system of linear equations has non-trivial solutions: x-ky+z=0,kx+3y-kz=0,3x+y-z=0

If one root of the equation 2x^2-5x+k=0 be twice the other, find the value of k.

The order of the differential equation obtained by the elimination of arbitrary constants a,b,c from the equation ax + by + c = 0 is -

If x = 2k + 1 and y = k is a solutions of the equation 5x + 3y - 7 = 0, find the value of k.

Determine the values of k for which the simultaneous linear equations in two variables kx+2y-(k-10)=0 and 2x+ky+(k+6)=0 have infinitely many solutions.

Find the particular solution of (ax+hy+g)dx+(hx+by+f)dy=0