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ML Aggarwal Solutions Class 9 Mathematics Solutions for Coordinate Geometry Exercise 19.4 in Chapter 19 - Coordinate Geometry
Question 1 Coordinate Geometry Exercise 19.4
A is a point on y-axis whose ordinate is 4 and B is a point on x-axis whose abscissa is -3. Find the length
of the line segment AB.
Answer:
Given A is a point on Y-axis and ordinate is 4.
So the x-coordinate is 0.
coordinates of A are (0,4)
Given B is a point on X-axis and abscissa is -3.
So the y-coordinate is 0.
coordinates of B are (-3,0)
By distance formula, Length of AB, d(AB) = \sqrt{\left[\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}\right]}
\begin{aligned} &\left.=\sqrt{(}-3^{2}+-4^{2}\right)\\ &=\sqrt{(9+16)}\\ &=\sqrt{25}\\ &=5\\ &\text { Hence the length of line segment AB is 5 units } \end{aligned}
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