Question

Explain with example the case when the simultaneous equations ax+ by + c = 0 and px + qy + r will have no solution​

Answer 1

Step-by-step explanation:

for pair of linear equations to be parallel,

a1/a2 = b1/b2 ≠ c1/c2

a/p = b/q ≠ c/r

example 2x + 4y + 7 = 0

4x + 8y + 1 = 0

here 2/4 => 1/2 and 4/8 = 1/2 and 7/1 = 7

it is clear that a1/a2 = b1/b2 = 1/2 but ≠ c1/c2 which is 7

Answer 2

Answer:

parallel lines never meet each other and hence the equations representing the parallel lines will have NO SOLUTION.

Again parallel lines means both have same slope, represented by m in equation of line y= mX+c or y= -(a/b) x - c/b

so -a/b= -p/q

or, a/b = p/q

This is the fundamental thing.

Now you can easily create lakhs of examples.