Question

What type of two equations in a pair intersect at origin only?

(a) ax+by=0, 2ax – by=0
(b) ax+by=c, a1x+b1y=0
(c) ax+by=0, a1x+b1y+c1=0
(d) none of these​

Answer 1

Answer:

a is the answer for the given problem

because the pair of linear equations are in the form of y=mx , the graph passes through the origin

Step-by-step explanation:

ax+by=0==>by=-ax

=>y=(-a/b)x

and

2ax-by=0=>2ax=by

=y=(2a/b)x

both are in the form of y=mx which represents the equation which passes through the origin

Answer 2

a

Step-by-step explanation:

a1/a2= a/2a

=1/2

b1/b2= b/-b

= -1

c1/c2= 0

As a1/a2 not equal to b1/b2 and c1/c2 =0

So, two equations will intersect at origin only