for what value of K the pair of liner equation kx+3y=11 and x+y=7 will be in conistent
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2
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➡According to question
Equations given:-
kx + y = k^2
and
x + ky = 1
➡Since the equations have infinitely many solutions
Thus,
Comparing the coefficients of x and y
k/1 = 1/k = 2k/1
Thus,
k = +1 or -1
k = +1/ root2 or -1/ root2
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Answered by
1
Answer:
kx+3y-11=0 == ax+by+c=0
so a=k. b= 3. c=-11
putting the formula written in attachment
we. x= √[3^2 -4(k.-11) ] /2k
x=√[9+44k]/2k
we have another eqn x+y=7
so x= 7-y
combining two eqns 7-y=√(9+44k)/2k
solve and get the answer
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