Question

4x+py+8=0
4x+4y+2=0
are parallel to each other then find the value of p

Answer 1

Given:

Two equation are parallel

$4x+py+8=0$

$4x+4y+2=0$

To find:

Value of p.

Solution:

$4x+py+8=0$

$4x+4y+2=0$

We know that when two lines

$a_1x+b_1y+c_1=0$

$a_2x+b_2y+c_2=0$

are parallel then

$\frac{a_1}{a_2}=\frac{b_1}{b_2}\neq \frac{c_1}{c_2}$

Using the formula

$\frac{4}{4}=\frac{p}{4}$

$1=\frac{p}{4}$

$p=4$

Hence, the value of p=4

Answer 2

Value of P = 4

Step-by-step explanation:

Given:

4x + Py + 8 = 0

4x + 4y + 2 = 0

Find:

Value of P

Calculation:

4x + py + 8 = 0  

4x + 4y + 2 = 0

For parallel lines

a1/a2 = b1/b2 ≠ c1/c2

So,

A1 / A2 = B1 / B2

4/4 = P/4

1 = P/4

P = 4

Value of P = 4