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Coordinate Geometry | Coordinate Geometry Exercise 19.4

Question 1

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.

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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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Question 1

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.

Looking to do well in your science exam ? Learn from an expert tutor. Book a free class!

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}

Our top 5% students will be awarded a special scholarship to Lido.

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