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Gaurav Seth 6 years, 3 months ago
The “common factor” of p and q is one.
Solution:
HCF: The full form of HCF is “Highest Common Factor”.
The largest common factor of two or more natural numbers is called as “highest common factor”.
HCF is also known as “greatest common Divisor (GCD)”.
Given that
P and q are two prime numbers
The HCF of two p and q prime numbers is one and itself.
Here the “common factor” is 1.
Therefore, the “common factor” of p and q is one.
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Gaurav Seth 6 years, 3 months ago

or
Using the Distance Formula ,
1st and 2nd distance ,
=>
=>
=>
2nd and 3rd ,
=>
=>
=>
1st and 3rd point .
=>
=>
=>
so ,
Ist and 2nd + 2nd and 3rd = 1st and 3rd is law of collinearity ,
Lets check ,
5+ 212 = 256
217 not equal 256
Hence ,
It does not satisfy the condition , Hence they are not collinear .
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Gaurav Seth 6 years, 3 months ago
The sum of all integers between 100 and 550, which are divisible by 9 is 16425.
Step-by-step explanation:
Integers between 100 and 550, which are divisible by 9 are 108, 117, 126 , ....... 549
Here,
a = 108, d = 9, an(l) = 549
By using the formula ,an = a + (n - 1)d
549 = 108 + (n -1)9
549 - 108 = 9(n -1)
441 = 9(n -1)
n -1 = 441/9
n -1 = 49
n = 49 + 1
n = 50
By using the formula ,Sum of nth terms , Sn = n/2 [a + l]
⇒ S50 = 50/2 (a + l)
⇒ S50 = 25 (108 + 549)
⇒ S50 = 25 × 657
⇒ S50 = 16425
Hence, the sum of all integers between 100 and 550, which are divisible by 9 is 16425

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A S?? 6 years, 3 months ago
1Thank You