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Find distance between point Q(3, – 7) and point R(3, 3) Solution: Suppose Q(x1, y1) and point R(x2, y2) x1 = 3, y1 = – 7 and x2 = 3, y2 = 3 Using distance formula, d(Q, R) = □ ∴ d(Q, R) = □-100 ∴ d(Q - Geometry Mathematics 2

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Question

Find distance between point Q(3, – 7) and point R(3, 3)

Solution: Suppose Q(x1, y1) and point R(x2, y2)

x1 = 3, y1 = – 7 and x2 = 3, y2 = 3

Using distance formula,

d(Q, R) = `sqrt(square)`

∴ d(Q, R) = `sqrt(square - 100)`

∴ d(Q, R) =  `sqrt(square)`

∴ d(Q, R) = `square`

Fill in the Blanks
Sum

Solution

Suppose Q(x1, y1) and point R(x2, y2)

x1 = 3, y1 = – 7 and x2 = 3, y2 = 3

Using distance formula,

d(Q, R) = `sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2`

= `sqrt((3 - 3)^2 - [3 - (- 7)]^2`

= `sqrt(0^2 + (10)^2)`

∴ d(Q, R) = `sqrt(0 - 100)`

∴ d(Q, R) =  `sqrt(100)`

∴ d(Q, R) = 10

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Chapter 5: Co-ordinate Geometry - Q.2 (A)

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