Question

Q.5 If the pair of equations 2x + 3y = -5 and 6x + 9y = k represent two coincident lines, then the value of k is: *​

Answer 1

Answer:

-15

Step-by-step explanation:

if two lines coincide then their ratio of Coefficient of a,b,c are equal(when lines are represented as ax+by+c=0)

(a/a')=(b/b')=(c/c')

so as per question:

2x+3y+5=0

6x+9y-K=0

therefore,

(2/6)=(3/9)=(5/-K)

K=-15

Answer 2

Answer:

If two lines coincident a1/a2=b1/b2=c1/c2

2/6=3/9=-5/k

K=-15