Exemplar - Choose the best answer — task. Maths CBSE Live product, Pre-Crash Course.

1. Do the following pair of linear equations have no solution?Justify your answer.

\(3x + 1y -3= 0\); \(2x +\) \(\frac{2}{3}\)\(y = 2\)

Answer:

Yes, because it satifies the condition \(\frac{a_1}{a_2} \neq \frac{b_1}{b_2}\)
No, because it does not satifies the condition \(\frac{a_1}{a_2} = \frac{b_1}{b_2} \neq \frac{c_1}{c_2}\)
No, because it does not satifies the condition \(\frac{a_1}{a_2} \neq \frac{b_1}{b_2}\)
Yes, because it satifies the condition \(\frac{a_1}{a_2} = \frac{b_1}{b_2} \neq \frac{c_1}{c_2}\)

2. Do the following equations represent a pair of coincident lines? Justify your answer.

\(2x + \)\(\frac{1}{5}\)\(y = 4\); \(10x + 1y = 20\)

Answer:

Yes, because it satifies the condition \(\frac{a_1}{a_2} \neq \frac{b_1}{b_2}\)
No, because it does not satifies the condition \(\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}\)
Yes, because it satifies the condition \(\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}\)
No, because it does not satifies the condition \(\frac{a_1}{a_2} \neq \frac{b_1}{b_2}\)

Did you find an error?

1. Exemplar - Choose the best answer