A) All real values of p except \[\frac{9}{10}\]
B) All real values of p
C) All real values of p except \[\frac{10}{9}\]
D) None of the above
Correct Answer: A
Solution :
[a] Given, \[-3x+5y=7\]and \[2px-3y=1\] |
Here, \[{{a}_{1}}=-3,\,\,{{b}_{1}}=5,\,\,{{c}_{1}}=7\] |
and \[{{a}_{2}}=2p,\,\,{{b}_{2}}=-3,\,\,{{c}_{2}}=1\] |
Condition for intersecting lines, \[\frac{{{a}_{1}}}{{{a}_{2}}}\ne \frac{{{b}_{1}}}{{{b}_{2}}}\] |
\[\Rightarrow \,\,\,\,\,\,\,\,\frac{-3}{2p}\ne \frac{5}{-3}\Rightarrow p\ne \frac{9}{10}\] |
\[\therefore \,\,\,\,\,\,\,\,p\in R-\left\{ \frac{9}{10} \right\}\] |
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