Question

find the area of the triangle formed by the line 3x-5y+1=0 with co-ordinate axes

Answer 1

Answer:

40,49

Step-by-step explanation:

Correct option is B)

Let the given line 4x+5y+7=0 cuts the coordinate axes at A(α,0) and B(0,β)

The traiangle formed by this line and coordinate axes will be a right angled triangle, with base α and height β.

Area of triangle A=

2

1

×∣α∣×∣β∣

Now putting y=0 and x=0 to find α and β respectively.

We get, ⇒α=−

4

7

⇒β=−

5

7

Hence A=

2

1

×

4

7

×

5

7

Area if triangle is ⇒A=

40

49

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