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A day full of math games & activities. Find one near you.
Find the equation of the line perpendicular to the line x - 7 y + 5 = 0 and having x intercept 3
Solution:
The given equation of the line is x - 7 y + 5 = 0
Or y = 1/7 x + 5/7, which is of the form y = mx + c
Therefore, slope of the given line is 1/7
The slope of the line perpendicular to the line having a slope is m = 1/(1/7) = - 7
The equation of the line with slope - 7 and x-intercept 3 is given by
y = m (x - d)
y = -7 (x - 3)
y = - 7x + 21
y + 7x = 21
Hence, the required equation of the line is y + 7x = 21
NCERT Solutions Class 11 Maths Chapter 10 Exercise 10.3 Question 8
Find the equation of the line perpendicular to the line x - 7 y + 5 = 0 and having x intercept 3
Summary:
The equation of the line perpendicular to the line x - 7 y + 5 = 0 and having x intercept 3 is y + 7x = 21
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