TEST 12
1.
\(\left.\begin{aligned}x+2y=5\\3x+6y=10\end{aligned}\right\}\)
\(\Rightarrow S.S.=?\)
A) \(\left\{\left(1,2\right)\right\}\)B) \(\mathbb R\)C) \(\varnothing\)D) \(\left\{\left(3,1\right)\right\}\)E) \(\left\{\left(4,\samefrac12\right)\right\}\)
2.
\(\left.\begin{aligned}x-3y=4\\3x-9y=5\end{aligned}\right\}\)
\(\Rightarrow S.S.=?\)
A) \(\left\{\left(1,3\right)\right\}\)B) \(\left\{\left(3,4\right)\right\}\)C) \(\left\{\left(3,2\right)\right\}\)D) \(\mathbb R\)E) \(\varnothing\)
3.
\(\left.\begin{aligned}2x-5y=2\\-6x+15y=8\end{aligned}\right\}\)
\(\Rightarrow S.S.=?\)
A) \(\left\{\left(1,3\right)\right\}\)B) \(\left\{\left(2,4\right)\right\}\)C) \(\left\{\left(2,1\right)\right\}\)D) \(\mathbb R\)E) \(\varnothing\)
4.
\(ax+3y=7\)
\(2x-y=11\)
\(S.S.=\varnothing\)
\(\Rightarrow a=?\)
A) \(-2\)B) \(-3\)C) \(-4\)D) \(-6\)E) \(-9\)
5.
\(2x+ay=4\)
\(4x-6y=8\)
\(n\left(S.S.\right)=\infty\)
\(\Rightarrow a=?\)
A) \(-3\)B) \(-2\)C) \(1\)D) \(2\)E) \(4\)
6.
\(2x-y+z=3\)
\(y-z+ax=4\)
\(S.S.=\varnothing\)
\(\Rightarrow a=?\)
A) \(-2\)B) \(-1\)C) \(2\)D) \(4\)E) \(7\)
7.
\(6x+z=4\)
\(12x+az=8\)
\(n\left(S.S.\right)=\infty\)
\(\Rightarrow a=?\)
A) \(-3\)B) \(-2\)C) \(2\)D) \(3\)E) \(4\)
8.
\(ax+2y=4\)
\(8x+4ay=-11\)
\(S.S.=\varnothing\)
\(\Rightarrow a^2=?\)
A) \(2\)B) \(3\)C) \(4\)D) \(8\)E) \(16\)