Question

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For which values of p, does the pair of equations given below has unique solution 3x+py+7=0 and 4x+2y+5=0 .


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Answer 1

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The condition for a unique solution is given by :

$\dfrac{a_1}{a_2}\ne \dfrac{b_1}{b_2} a2a1=b2b1$

Here, a, = 4, b, = p, c, = 8 and

$a_{2} = 2$, $b_{2} = 2$ and $c_{2} = 2$ Putting the values in above condition we get :

$\begin{gathered}\dfrac{4}{2}\ne \dfrac{p} {2}\\\\p\ne 4\end{gathered}24=2pp=4$

The value of b is not equal to 4. It means p can take any value other than 4.

Answer 2

Joule heating, also known as resistive, resistance, or Ohmic heating, is the process by which the passage of an electric current through a conductor produces heat.

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