Math, asked by ramrajg404p4eo0o, 1 year ago

The area of the triangle formed by the line 5x-3y+10=0 with co-ordinate axis will be

Answers

Answered by mysticd
16
Hi ,

Find the intercepts made by the line

5x -3y + 10 = 0 with coordinate axes.

5x - 3y = - 10

Divide each term with - 10 , we get

( x / -2 ) + ( 3y / 10 ) = 1

x / ( -2 ) + y / ( 10/3 ) = 1

Therefore ,

X - intercept = a = -2

Y - intercept = b = 10/3

Required Area = 1/2 | ab |

A = 1/2 | ( -2 ) × ( 10/3 ) |

= 1/2 × ( 20/3 )

= 10/3 square units

I hope this helps you.

: )
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