find the distance between the following in the ar formula only (i) (2,3),(4,1)
(iii) (-5,7),(-1,3)
(ii) (a,b),(-a,-b)
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(1) A(2,3). B(4,1)
X1 = 2 , X2= 4, Y1= 3, Y2=1
By using Distance FORMULA,
AB² = (X2-X1)²+(Y2-Y1)²
= (4-2)²+(1-3)² = (2)²+(-2)² = 4+4 = 8
AB² = 8
AB =✓8
(2) A(-5,7). B(-1,3)
Here,
X1 = -5 , X2 = -1 ,Y1 = 7 ,Y2 = 3
BY USING DISTANCE FORMULA,
AB² = (X2-X1)² + (Y2-Y1)²
= (-1-(-5))² + (3-7)² = (-1+5)²+(-4)² = 16+16 = 32
AB² = 32
AB = ✓32CM = 4✓2
X1 = 2 , X2= 4, Y1= 3, Y2=1
By using Distance FORMULA,
AB² = (X2-X1)²+(Y2-Y1)²
= (4-2)²+(1-3)² = (2)²+(-2)² = 4+4 = 8
AB² = 8
AB =✓8
(2) A(-5,7). B(-1,3)
Here,
X1 = -5 , X2 = -1 ,Y1 = 7 ,Y2 = 3
BY USING DISTANCE FORMULA,
AB² = (X2-X1)² + (Y2-Y1)²
= (-1-(-5))² + (3-7)² = (-1+5)²+(-4)² = 16+16 = 32
AB² = 32
AB = ✓32CM = 4✓2
Similar questions
(iii) (-5,7),(-1,3)
(ii) (a,b),(-a,-b)