Question

If the distance between the points P (k, 5) & Q (8, -3) is 10 units, then the value of k is (a) 2 or 14 (b) – 2 or 14 (c) 2 or – 14 (d) – 2 or – 14​

Answer 1

Answer:

sorry i can't understand it

Answer 2

Concept Introduction:

Distance between two points are given by  $\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }$.

Given: Distance between the points P $(k, 5)$ & Q $(8, -3)$ is $10$ units

To Find:

We have to find the value of, k.

Solution:

According to the problem,

Distance between the points P and Q is $\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }$

⇒$10=\sqrt{(k-8)^{2}+ (-3-5)^{2} }$

⇒$100=(k-8)^{2} +64$

⇒$36=(k-8)^{2}$

⇒±$6=k-8$

∴$k=14 or 2$

Final Answer:

The value of k is (a) $2$ or $14$.

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