Question

The equation of line 10x+20y =20 is ------ * a. passing through origin b. cut both the axis but not passing through origin c. both a & b​

Answer 1

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Since point A(2, 2) lies on the line, it will satisfy the equation of line

Putting x = 2 & y = 2 in the equation

2 - + a 2 9-a = 1

(9-a)2 + 2a a(9 - a) = 1

18-2a + 2a = a(9-a)

18-0=9aa²

18=9a-a²

a²9a +18=0

a²-6a-3a + 18 = 0

a(a-6)-3(a-6)=0

(a-3) (a-6)=0

a-3=0

a-6=0

a = 3

a = 6