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Ask QuestionPosted by Balkrishna Pandey 6 years, 1 month ago
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Posted by Hifazat Ali 6 years, 1 month ago
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Yogita Ingle 6 years, 1 month ago
Relative Density
- The relative density of a substance is the ratio of its density to that of water.
- Relative density is a ratio so it has no unit.
Density = mass/volume
Relative density = density of substance/density of water
Hifazat Ali 6 years, 1 month ago
Posted by Mr Hadi 6 years, 1 month ago
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Yogita Ingle 6 years, 1 month ago
Statement : There is one and only one circle passing through three given noncollinear points.
Given : AB and CD are two equal chords of the circle.
OM and ON are perpendiculars from the centre at the chords AB and CD.
To prove : OM = ON.
Construction : Join OA and OC.
Proof :
In ΔAOM and ΔCON,
OA = OC . (radii of the same circle)
MA = CN . (since OM and ON are perpendicular to the chords and it bisects the chord and AM = MB, CN = ND)
∠OMA = ∠ONC = 90°
ΔAOM ≅ ΔCON (R. H. S)
OM = ON (c. p. c. t.)
Equal chords of a circle are equidistant from the centre.
Posted by Roshni Gupta 6 years, 1 month ago
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Hifazat Ali 6 years, 1 month ago
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Abu Hamza 4 years, 11 months ago
Yogita Ingle 6 years, 1 month ago
7246.8 = 7000 + 200 + 40 + 6 + 8/10
= 7 × 103 + 2 × 102 + 4 × 101 + 6 × 100 + 8 × 10-1
Posted by Umesh Bariya 6 years, 1 month ago
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Lakshminarayana Lucky 6 years, 1 month ago
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Yogita Ingle 6 years, 1 month ago
The base equation for a circle centered at (h,k) with radius r is:
(x - h)2+ (y - k)2 = r2
If the points are concyclic, they all lie on the graph for the same circle.
Thus, all points are solutions to a single equation of the circle
WE can plug each point into the base equation, and obtain a system of equationd
FOR POINT (-2,10)
Equation 1: (-2 - h)2 + (10 - k)2 = r2
FOR POINT (1,11)
Equation 2: (1 - h)2+ (11 - k)2 = r2
FOR POINT (6,10)
Equation 3: (6 - h)2 + (10 - k)2 = r2
FOR POINT (9,7)
Equation 4: (9 - h)2 + (7 - k)2 = r2
From Equation 1 and 2 above, since they have 2 different expressions equivalent to r2, we can construct an equation involving variables x and h.
r2 = r2
(-2 - h)2 + (10 - k)2 = (1 - h)2 + (11 - k)2
(-2 - h)(-2 - h) + (10 - k)(10 - k) = (1 - h)(1 - h) + (11 - k)(11 - k)
(4 + 2h + 2h + h2) + (100 -10k - 10k + k2) = (1 - h - h + h2) + (121 - 11k - 11k + k2)
h2 + 4h + 4 + k2 - 20k + 100 = h2-2h + 1 + k2 -22k + 121
We can subtract h and k from both sides.
4h + 4 - 20k + 100 = -2h + 1 -22k + 122
4h -20k + 104 = -2h - 22k + 122
Move all h and k variables to the left ... move all constants to the right
6H + 2K = 18
SYSTEM EQUATION 1: 6h + 2k = 18
From equation 3 and 4 above, we go through the same process to obtain a second system equation.
r2 = r2
(6 - h)2 + (10 - k)2 = (9 - h)2 + (7 - k)2
(6 - h)(6 - h) + (10 - k)(10 - k) = (9 - h)(9 - h) + (7 - k)(7 - k)
36 - 6h - 6h + h2+ 100 - 10k - 10k + k2 = 81 - 9h - 9h + h2 + 49 = 7k - 7k + k2
h2 - 12h + 36 + k2 - 20k + 100 = h2 - 18h + 81 + k2- 14k + 49
Simplify, and subtract h2 and k2from both sides
-12h - 20k + 136 = -18h - 14k + 130
Move the h and k variables to the left, and the constants to the right
-12h + 18h - 20k + 14k = 130 - 136
6h - 6k = -6
SYSTEM EQUATION 1: 6h - 6k = -6
6h +2k = 18
6h - 6k = -6
Multiply the second equation by -1, we have ... -6h + 6k = 6
Adding the 2 equations, we have
6h + 2k = 18
-6h + 6k = 6
8k =24
k = 3
Using substitution of k=3 into equation 6h + 2k = 18,
6h + 2(3) = 18
6h + 6 = 18
6h = 12
h = 2
Now, use one of the points on the circle ... (1, 11) and (h,k) ... (2,3), to find the radius
(1 - 2)2 + (11 - 3)2 = r2
1 + 64 = r2
65 = r2
r = √65
Thus the equation of our circle is:
(x - 2)2 + (y - 3)2 = (√65)2
Posted by Raji Raji 6 years, 1 month ago
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Yogita Ingle 6 years, 1 month ago
Book keeping is stated as the recording of day-to-day business transactions in the books of accounts. It involves identification of transactions of financial nature, recording them in the books of accounts and classifying them into the ledger accounts.
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Yogita Ingle 6 years, 1 month ago
SI unit of magnetic field is tesla (T). So, one tesla is that magnetic field in which a charge of one coulomb moving with a velocity of 1 m/s perpendicular to the magnetic field experiences a force of one newton.
Posted by Vivek Kumar 6 years, 1 month ago
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Sandeep Kumar 6 years, 1 month ago
Yogita Ingle 6 years, 1 month ago
Functional group:
An atom or a group of atoms present in the molecules, which determines the characteristics property of the organic compounds, is called the functional group
Posted by Vivek Kumar 6 years, 1 month ago
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Yogita Ingle 6 years, 1 month ago
Lens is an optical device which converges or diverges the rays of light before transmitting. A lens has similar shape to lentils and genus of lentil is called Lens, thus a lens got its name after the shape and name of genus of lentils. A lens is made by combining at least one part of sphere made of transparent material, generally glass.
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