💥 Q 30: Prep 3 Geometry Question Bank T1

a) Find the value of \( a \) if the distance between the two points \( (a, 7) \) and \( (-2, 3) \) equals 5 length units.

1) \( a = 1 \) or \( -5 \)

2) \( a = 2 \) or \( -4 \)

3) \( a = 0 \) or \( -6 \)

4) \( a = 3 \) or \( -3 \)

\( a = 1 \) or \( -5 \)

b) Find the value of \( a \) if the distance between the two points \( (a, 7) \) and \( (3a - 1, -5) \) equals 13 length units.

1) 2 or -3

2) -2 or 3

3) 1 or -5

4) -1 or 5

\( a = -2 \) or \( 3 \)

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