A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
If three points (h, 0), (a, b) and (0, k) lie on a line, show that a/h + b/k = 1
Solution:
If three points A(h, 0), B (a, b) and C (0, k ) lie on a line (it means they are collinear), then
Slope of AB = Slope of BC
(b - 0)/(a - h) = (k - b)/(0 - a)
b/(a - h) = (k - b)/(-a)
-ab = (k - b)(a - h)
-ab = ka - kh - ab + bh
ka + bh = kh
On dividing both sides by kh , we obtain
ka/kh + bh/kh = kh/kh
a/h + b/k = 1
NCERT Solutions Class 11 Maths Chapter 10 Exercise 10.1 Question 13
If three points (h, 0), (a, b) and (0, k) lie on a line, show that a/h + b/k = 1
Summary:
If three points (h, 0), (a, b) and (0, k) lie on a line, then we have shown that a/h + b/k = 1
Math worksheets and
visual curriculum
visual curriculum