Question

The distance of the point P (3 - 4) from the origin is
(a) 7 units
(d) 3 units
(b) 5 units
(0)4 units​

Answer 1

Answer:-

Option( b) 5 units is correct.

Step - by - step explanation:-

Find:-

Find distance of the given points from origin.

Given :-

points →(3 , - 4) and origin point (0,0)

Solution:-

Using distance formula

$distance \: = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} }$

In the given points ,

$\star \: x1 = 3 \: \: \star \: x2 = 0 \\ \star \: y1 = - 4 \: \: \star \: y2 = 0$

Now using distance formula-

$d \: = \sqrt{ {(0 - 3)}^{2} + {(0 + 4)}^{2} } \\ \\ d = \sqrt{9 + 16} \\ \\ d = \sqrt{25} \\ \\ d = + 5 \: \: \: or \: \: - 5 \\ \\ \bf{distance \: never \: be \: negative \: }\\ \\ \therefore \: \bf{distance = + 5 \: units}$