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Yogita Ingle 4 years, 2 months ago
We have this equation:
x + y = 1
x + y = 1
y = - x + 1
The slope of the tangent here is -1
And the slope of the line perpendicular to the tangent is 1
The line will pass through the focus y = x + c which will pass through (1,1)
The equation for this would be: y = x
The point of intersection of x + y = 1 and x = y can be obtained by:
y + y = 1
2y = 1
y = 1/2
The vertex for this is : (1/2, 1/2)
The distance between the focus and vertex is √[2x(1/2)²] = √2/2
The equation of parabola would be (y -1/2)² = (2x√2) x (x-1/2) y² + 1/4 - y = 2√2*x - √2
= 4y² - 4y - 8 x √2 *x + 4*√2 + 1 = 0
Posted by Pooja Singh 4 years, 3 months ago
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Yogita Ingle 4 years, 3 months ago
In an hour or 60 minutes, the large hand performs a complete circle of 360 degree.
Therefore, in a time span of 20 minutes or One third of one Hour, you will get 120 degree or
To find the count of centimeters it is required to move the hand, we first frame the formula i.e. to find the length of the “arc” formed by circular movement of the hand
Therefore, the extremity moves 88 cm in twenty minutes.
Posted by Jagpal Singh 4 years, 3 months ago
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Posted by Amit Kumar 4 years, 3 months ago
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Gaurav Seth 4 years, 3 months ago
Let ‘a’ be the first term and ’r’(≠) be the common ratio of the given G.P.The general teams of G.P. If Sn denotes the sum of ‘n’ terms, then,
Sn = a((1 - rn)/(1 - r)) r ≠ 1
This can also written as
Sn = a((rn - 1)/(r - 1))
Note: (1) Sn = a + ar + ar2 +….. +arn-1
(2) If r = 1, then Sn = a + a + a +……………+a – na
(3) If r = 1, then formulas for Sn fail
(4) If r < 1, then use Sn = a((1 - rn)/(1 - r))
(5) If r > 1, use Sn = a((rn - 1)/(r - 1))
(6) Sum of an infinite G.P.,a + ar + ar2 + ..... is a/(1 - r), - 1 r < 1
(7) If a, b, c are in G.P.then ‘b’ is the G.M. (geometric mean) between a and c, then b2 = ac ⇒ b = √ac
(8) If A and G are A.M. and G.M. of two given distinct positive real numbers, then relation between A and G is A > G.
Posted by Śěřãj The Cute? 4 years, 3 months ago
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?Ritesh Gupta? 4 years, 2 months ago
Posted by Śěřãj The Cute? 3 years, 10 months ago
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Sia ? 3 years, 10 months ago
Posted by Śěřãj The Cute? 4 years, 3 months ago
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Yogita Ingle 4 years, 3 months ago
The Fibonacci sequence, also known as Fibonacci numbers, is defined as the sequence of numbers in which each number in the sequence is equal to the sum of two numbers before it. The Fibonacci Sequence is given as:
Fibonacci Sequence = 0, 1, 1, 2, 3, 5, 8, 13, 21, ….
Here, the third term “1” is obtained by adding first and second term. (i.e., 0+1 = 1)
Similarly,
“2” is obtained by adding the second and third term (1+1 = 2)
“3” is obtained by adding the third and fourth term (1+2) and so on.
For example, the next term after 21 can be found by adding 13 and 21. Therefore, the next term in the sequence is 34.
Posted by Dεερακ Ȿιηɠꜧ 4 years, 3 months ago
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Yogita Ingle 4 years, 3 months ago
It is given that:
n(X)=17,n(Y)=23,n(X∪Y)=38
n(X∩Y)=?
Using the formula
n(X∪Y)=n(X)+n(Y)−n(X∩Y)
∴38=17+23−n(X∩Y)
⇒n(X∩Y)=40−38=2
∴n(X∩Y)=2
Posted by Dεερακ Ȿιηɠꜧ 4 years, 3 months ago
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Nishant Kumar 4 years, 3 months ago
Posted by R. Prasad 4 years, 3 months ago
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Posted by Mahalakshmi Bujji?? 4 years, 3 months ago
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