 # NCERT Exemplar Solutions Class 10 Mathematics Solutions for Pair of Linear Equations in Two Variables - Exercise 3.3 in Chapter 3 - Pair of Linear Equations in Two Variables

Question 27 Pair of Linear Equations in Two Variables - Exercise 3.3

3xy – 5 = 0 and 6x – 2yp = 0, if the lines represented by these equations are parallel. Find p.

Given pair of linear equations is

3x – y – 5 = 0 …(i)

6x – 2y – p = 0 …(ii)

On comparing with ax + by + c = 0 we get

We get,

a1 = 3, b1 = – 1, c1 = – 5;

a2 = 6, b2 = – 2, c2 = – p;

a1 /a2 = 3/6 = ½

b1 /b2 = ½

c1 /c2 = 5/p

Since, the lines represented by these equations are parallel, then

a1/a2 = b1/b2 ≠ c1/c2

Taking last two parts, we get ½ ≠ 5/p

So, p ≠ 10

Hence, the given pair of linear equations are parallel for all real values of p except 10.

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