Question

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

Two equations, 4x+py+8=0 and 2x+2y+2=0

To find,

The value of p if the pair of equations has a unique solution.

Solution,

The condition for a unique solution is given by :

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

Here, a₁ = 4, b₁ = p, c₁ = 8 and a₂ = 2, b₂ = 2 and c₂ = 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.

THIS HELPS YOU FOR EXAM

Answer 2

Answer:

gravity, also called gravitation, in mechanics, the universal force of attraction acting between all matter. ... On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth's mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects.

Explanation:

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