Question

For which value(s) of P ,will the lines represented by the following pair of linear equations be parallel 3 X - y - 5 =0 6 X - 2y -p =0 a) all real values except 10 b) 10 c) 5/2 d) 1/2

Answer 1

Answer:

answer is P=10. is correct

Answer 2

Answer:

All real values except 10.

Step-by-step explanation:

For two straight lines to be parallel, their slopes must be the same.

Now, the slope of the first equation 3X-y-5=0, ⇒y=3X-5, will be 3.

{Expressing the equation in the slope-intercept form, i.e. y= mx+c, where m is the slope of the straight line}

Again, the slope of the second equation 6X-2y-p=0, ⇒y=3X-p/2, will be 3.

So, as the slopes of the two equations are the same, hence, those two straight lines are parallel to each other for all real values of p, except 10. This is because, for p=10, the given two equations will be the same and will represent a single straight line. (Answer)