Question

If 5x+2y+3=0,
15x+6y+t=0 are the coincidental lines then find t.

Answer 1

Hi there....

we use

a1/a2 = b1/b2 = c1/c2 to find the variable c.

3 \ t = 2 \ 6

Hence, t = 9 Ans

Hope this helps!
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Answer 2

a1/a2=b1/b2=c1/c2 is the condition for coincidental lines
So we have
a1=5,a2=15
b1=2, b2=6
c1=3,c2=t
So,
b1/b2=c1/c2
2/6=3/t
1/3=3/t
By cross multiplication
t×1=3×3
t=9