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3) Given,
HCF of 35 and 45 = 5
LCM of 35 and 45 = 63a
We know that HCF x LCM = Product of the two numbers
Product of the numbers = 35 x 45 = 1575
According to the above formula,
5 x 63a = 1575
315a = 1575
a = 5
4) Let P1 = (0,5) and P2 = (-5,0)
x1 = 0, x2 = -5
y1 = 5, y2 = 0
We know that distance between two points P1 and P2 whose co-ordinates are (x1,y1) and (x2,y2)
Then,
By using the above formula,
Distance between the points = √[(- 5 - 0)² + (0 - 5)²] = √(25 + 25) = √(25 x 2) = √25 x √2 = 5√2
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