(C) The distance formula between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$.Given points are $A(4

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(C) The distance formula between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$.Given points are $A(4, 7)$ and $B(7, 3)$.Substituting the values into the formula:$AB = \sqrt{(7 - 4)^2 + (3 - 7)^2}$$AB = \sqrt{(3)^2 + (-4)^2}$$AB = \sqrt{9 + 16}$$AB = \sqrt{25}$$AB = 5$.

Class 10 Mathematics Coordinate Geometry Mix Examples - Coordinate Geometry

Easy

If $A (4, 7)$ and $B (7, 3),$ then $AB = .............$

A
$3$
B
$4$
C
$5$
D
$7$

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Mix Examples - Coordinate Geometry

$A - M - B$ and if $\frac{AM}{AB} = \frac{3}{5}$,then $M$ divides $\overline{AB}$ from $A$ in the internal division ratio......

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If $A(4, 3)$ and $B(8, 9)$,then the midpoint of $\overline{AB}$ is $\ldots \ldots \ldots \ldots .$

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Two vertices of a triangle are $(3, -5)$ and $(-7, 4)$. If the centroid of the triangle is $(2, -1)$,then find the coordinates of the third vertex.

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If the midpoint of the line segment joining $P(3, 4)$ and $Q(a, 8)$ is $M(5, 6)$,then $a = \ldots \ldots \ldots \ldots$

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For given point $A(2, 4)$ and $B(-3, b)$,if $AB = \sqrt{26}$,find the possible values of $b$.

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If $A (4, 7)$ and $B (7, 3),$ then $AB = .............$

Similar Questions

$A - M - B$ and if $\frac{AM}{AB} = \frac{3}{5}$,then $M$ divides $\overline{AB}$ from $A$ in the internal division ratio......

If $A(4, 3)$ and $B(8, 9)$,then the midpoint of $\overline{AB}$ is $\ldots \ldots \ldots \ldots .$

Two vertices of a triangle are $(3, -5)$ and $(-7, 4)$. If the centroid of the triangle is $(2, -1)$,then find the coordinates of the third vertex.

If the midpoint of the line segment joining $P(3, 4)$ and $Q(a, 8)$ is $M(5, 6)$,then $a = \ldots \ldots \ldots \ldots$

For given point $A(2, 4)$ and $B(-3, b)$,if $AB = \sqrt{26}$,find the possible values of $b$.

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