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The question is followed by two statements I and II.

Mark

1. if the question can be answered by any one of the statements alone, but cannot be answered by using the other statement alone.
2. if the question can be answered by using either statement alone.
3. if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
4. if the question cannot be answered even by using both the statements together.

Find a pair of real numbers x and y that satisfy the following two equations simultaneously. It is known that the values of a, b, c, d, e and f are non-zero.

$ax + by = c$

$dx + ey = f$

1. a = kd and b = ke, c = kf, k $\neq$ 0
2. a = b = 1, d = e = 2, f $\neq$ 2c

$\text{ax+by=c}$

Here if we put $\text{a=kd, b=ke, c=kf}$

we get $\text{dx+ey=f}$

which is same as $\text{2nd}$ equation

So, thiese two are same line putting condition I

Now, By condition II putting $\text{a=b=1, d=e=2}$

we get two lines are parallel

So, Answer$: \text{(D)}$ if the question cannot be answered even by using both the statements together.
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1 comment

Using 1, we can get a point rt?