Question

Is the pair of equations 3x + 4y -12 = 0 and 3x - 4y + 12 =0 are consistent?

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Answer 1

Answer:

ANSWER

Solution -

Let another line be y=mx+d

(y−mx−d)(3x+4y=0)

4y

2

−3mx

2

+(3−4m)xy−3dx−4yd=0

compare from

6x

2

−xy+4cy

2

=0

d=0

4c

4

=

6

−3m

=

−1

3−4m

3m=18−24m

27m=18

m=

3

2

c

1

=

6

−2

⇒c=−3

D is correct