Chapter 1: Q. 36 (page 14)

Find the distance $d (P_{1}, P_{2})$ between the points $P_{1}$ and $P_{2} .$

Short Answer

Expert verified

The distance between the given points is $\sqrt{10} .$

Step by step solution

Step 1.Given information

The given points are $P_{1} (- 1, 1) and P_{2} (2, 2) .$

Step 2. Formula used

$d = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$

Step 3.Find the distance

$d (P_{1}, P_{2}) = \sqrt{{(2 - (- 1))}^{2} + {(2 - 1)}^{2}} = \sqrt{{(2 + 1)}^{2} + {(2 - 1)}^{2}} = \sqrt{{(3)}^{2} + {(1)}^{2}} = \sqrt{9 + 1} = \sqrt{10}$

Hence, the distance is $\sqrt{10}$ units.

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Find the distance $d (P_{1}, P_{2})$ between the points $P_{1}$ and $P_{2} .$

Short Answer

Step by step solution

Step 1.Given information

Step 2. Formula used

Step 3.Find the distance

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Find the distance d(P1,P2)between the points P1and P2.

Short Answer

Step by step solution

Step 1.Given information

Step 2. Formula used

Step 3.Find the distance

One App. One Place for Learning.

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Find the distance $d (P_{1}, P_{2})$ between the points $P_{1}$ and $P_{2} .$