Question : If A(-6,7) and B(-1,-5) are the two given points then the distance 2AB is
a) 13
b) 26
c) 19
d) 18
Doubt by Saumya
Solution :
A(-6,7)
B(-1,-5)
B(-1,-5)
By Distance Formula
AB = √[(x2-x1)2+(y2-y1)2]
AB = √[(-1+6)2+(-5-7)2]
AB = √[(5)2+(-12)2]
AB = √[25+144]
AB = √[169]
AB = 13
So
2AB = 2×13
2AB = 26
AB = √[(-1+6)2+(-5-7)2]
AB = √[(5)2+(-12)2]
AB = √[25+144]
AB = √[169]
AB = 13
So
2AB = 2×13
2AB = 26
Hence, b) would be the correct option.