Question

The coordinates of the point where line x/a+y/b=7 intersects y-axis are b) (0,5) c) (0,2b) a) (a,0) d) (2a,0)


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Answer 1

The equations are x=a and y=b.

The graph of x=a is a line parallel to y-axis and y=b is a line parallel to x-axis.

∴ the angle between them is 90

o

, i.e. they intersect.

So, the equations are consistent.

Now solving simultaneously, the solution is (a,b).

So, the point of intersection is (a,b).

Hence, option D is correct.

Answer 2

Answer:

(c) - 0,7b

Step-by-step explanation:

since the point is on y axis the coordinates will be - (0,y)

and  x = 0

⇒ \frac{x}{a} + \frac{y}{b} = 7ax+by=7

⇒ \frac{0}{a} + \frac{y}{b} = 7a0+by=7

⇒ y =  7b

thank you :)

Step-by-step explanation:

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