7.1 Distance in the Cartesian Coordinate System

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\(A(-4,-10),\quad B(4,5)\)

Calculate the distance between point \(A\) and point \(B.\)

Difficulty Level: Medium

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The distance between \(P(-7,2)\) and \(Q(0,k)\) is \(25 \text{ units}.\)

Find the two possible values of \(k.\)

Difficulty Level: Hard

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Find the perimeter of triangle \(ABC.\)

Difficulty Level: Hard

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Find the area of the trapezium \(ABCD.\)

Difficulty Level: Hard

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A point \(P\) is a \(4\) units from the \(x\text{-axis}\) and \(2\) units from the \(y\text{-axis}\).

The following are the possible coordinates of \(P\) except

Difficulty Level: Hard