The length of the portion of the straight line 5x + 12y = 60 intercepted between the axes is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 13.
We know,
Intercept form of the straight line equation: x/a + y/b = 1
Distance between the intercepts = √(a2 + b2)
Where a and b are x and y intercepts
According to the question;
5x + 12y = 60
To convert the above equation into intercept form, divide the equation by 60.
⇒ x/12 + y/5 = 1
We have,
⇒ x intercept = a = 12
⇒ y intercept = b = 5
Now,
Distance between the intercept = length = √(122 + 52) = 13 cm