1.

The distance of the point P(-6,8) from the origin isA. 8B. `2sqrt(7)`C. 10D. 6

Answer» Correct Answer - c
Distance between the points `(x_(1),y_(1))and (x_(2),y_(2))`
`d=sqrt((x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2))`
Here, `x_(1)=-6,y_(1)=8and x_(2)=0,y_(2)=0`
`:.` Distance between P(-6,8)and orgin i.e., O(0,0),
PO`=sqrt([0-(-6)]^(2)+(0-8)^(2))`
`=sqrt((6)^(2)+(-8)^(2))`
`=sqrt36+64=sqrt(100)=10`


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