LIVE GST Certification Course by CA Arun Chhajer begins 27th April. Register Now!!

Solve solve

intermediate(ipc)course (no) (1460 Points)

13 September 2011

what is the equation of a line whose x intercept is half as that of line 3x + 4y =12 & y intercept twice of same.

ans: 3x + y = 6.

Reply
Follow
Share

4 Replies

RAVI TEJA S (student) (706 Points)
Replied 13 September 2011

By solving these two equations we get X=4/3 y=2

intermediate(ipc)course (no) (1460 Points)
Replied 13 September 2011

thanks but the answer will equation.

* Krishna * (CA Student) (6149 Points)
Replied 13 September 2011

In the given equation put y = 0 and find the value for x

Given, 3x + 4y = 12

Therefore, 3x + 4(0) = 12, therefore, x = 12/3 = 4.

Similarly put x = 0 and find the y in 3x + 4y = 12

Therefore, 3(0) + 4y = 12, therefore, y = 12/4 = 3

In the given equation, x-intercept is half of the x-intercept of the line 3x + 4y = 12 and is equal to 2

And y intercept of the new line is twice the y-intercept of 3x + 4y = 12 and is equal to 6.

Now the equation of a line whose x-intercept and y-intercept is given can be written as x/x-intercept + y/y-intercept = 1 .

Hence, equation of d line whose x-intercept is 2 and y-intercept is 6 is x/2 + y/6 = 1 ,