If L and M vary inversely. When L is 10, M is 6. Which of the followin...
Given that L and M vary inversely, we can write the equation as:
L = k/M
where k is a constant of proportionality.
We are given that when L is 10, M is 6. We can use this information to find the value of k:
10 = k/6
Cross-multiplying, we get:
k = 60
Now we can use this value of k to find the corresponding values of L and M for the given options.
a) For L = 12, we have:
12 = 60/M
Cross-multiplying, we get:
12M = 60
Dividing both sides by 12, we get:
M = 5
This satisfies the inverse variation equation, so option (a) is a possible pair of corresponding values of L and M.
b) For L = 15, we have:
15 = 60/M
Cross-multiplying, we get:
15M = 60
Dividing both sides by 15, we get:
M = 4
This also satisfies the inverse variation equation, so option (b) is a possible pair of corresponding values of L and M.
c) For L = 45, we have:
45 = 60/M
Cross-multiplying, we get:
45M = 60
Dividing both sides by 45, we get:
M = 60/45 = 4/3 = 1.3
This satisfies the inverse variation equation, so option (c) is also a possible pair of corresponding values of L and M.
d) For L = 25, we have:
25 = 60/M
Cross-multiplying, we get:
25M = 60
Dividing both sides by 25, we get:
M = 60/25 = 2.4
This satisfies the inverse variation equation, so option (d) is a possible pair of corresponding values of L and M.
Therefore, the correct answer is option (c) as it is not a possible pair of corresponding values of L and M.
To make sure you are not studying endlessly, EduRev has designed Class 8 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 8.