Answer:
A Fraction
Step-by-step explanation:
33/3 is a fraction because it consists of a numerator and a denominator.
Let the eq of circle be
x
2
+y
2
+2gx+2βy+c=0
now, x intercept = 2
g
2
−c
But circle touches x axis ∴ x intercept = 0
∴2
g
2
−c
=0∴g
2
=c
∴eq
n
become x
2
+y
2
+3gx+2βy+g
2
=0
Now circle passes through (3, 0) and (1, 4)
∴(3)
2
+(0)
2
+2g(3)+0+g
2
=0
9+6g+g
2
=0
∴g=−3
Also (1)
2
+(4)
2
+2(−3)(1)+2β(4)+9=0
∴1+16−6+8β+9=0
∴20+8β=0 ∴β=
2
5
Hence eq
n
of circle is
x
2
+y
2
−6x−5y+9=
Answer:
b option
Step-by-step explanation:
Using cos theta = Base/Hypotenuse,
=> cos (45⁰) = x/8 root 2
=> 1/ root 2 = x/8 root 2
=> x = 8
<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em>
Answer:
Option E) is correct
If n is an odd number then 2(n+1) represents an even number.
Step-by-step explanation:
Let X=set of all odd numbers
that is
Let Y=set of all even numbers
that is
Verify that 2(n+1) represents an even number where n is an odd number:
Put n=1 in 2(n+1) we get
2(1+1)=2(2)=4
Put n=3 in 2(n+1) we get
2(3+1)=2(4)=8
Put n=5 in 2(n+1) we get
2(5+1)=2(6)=12
and so on.
From above results we get 2(n+1) represents an even number and is belongs to the set Y when n is an odd number.
Therefore Option E) is correct
If n is an odd number then 2(n+1) represents an even number.