Home › Karnataka SSLC (Class 10) › Mathematics › Coordinate Geometry › The distance between two points $P(x_1,y_1)$ and…
The distance between two points $P(x_1,y_1)$ and $Q(x_2,y_2)$ is
A$(x_2-x_1)^2+(y_2-y_1)^2$
B$\sqrt{(x_2-x_1)+(y_2-y_1)}$
C$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
D$|x_2-x_1|+|y_2-y_1|$
Answer & Solution
Correct answer: C. $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
1. The distance formula comes from the Pythagoras theorem.
2. $PQ=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$.
3. The square root is essential; without it the value would be the square of the distance.
_Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch7 'Coordinate Geometry', §7.2_
Related questions
A point that lies on the x-axis has itsThe distance between the points $(2,3)$ and $(2,8)$ isThree points are collinear if the area of the triangle formed by them isThe area of the triangle with vertices $(0,0)$, $(4,0)$ and $(0,3)$ isThe point that divides the segment joining $(1,2)$ and $(3,4)$ in the ratio $1:1$ isThe distance of the point $(5,12)$ from the origin isThe mid-point of the segment joining $(2,3)$ and $(4,7)$ isThe distance between the points $(1,2)$ and $(4,6)$ is