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Posted by Khyati Chauhan 5 years, 3 months ago (9404617)
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Posted by Everything Here 5 years, 3 months ago (9185735)
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Posted by Khushi Kumari 5 years, 3 months ago (9801541)
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Gaurav Seth 5 years, 2 months ago (2898529)
Given: Triangle ABC and ∆PQR in which AD and PM are medians drawn on sides BC and QR respectively. It is given that
To Prove : ∆ABC ~ ∆PQR
Const : Produce AD to E such that AD = DE and PM to F such that PM = MF.
Proof : In ∆ABD and ∆CDE,
AD = DE [by construction]
∠ADB = ∠CDE
[vertically opposite angles]
and BD = DC [AD is a median]
Therefore, by using SAS congruent condition
[by CPCT]
Similarly, we can prove
[by CPCT]
It is given that:
Therefore, by using SSS congruent condition
...(i)
Similarly, 
...(ii)
Adding (i) and (ii), we get
∠1 + ∠3 = ∠2 + ∠4
∠A = ∠P
Now, in ∆ABC and ∆PQR
and 
Therefore, by using SAS similar condition
∆ABC ~ ∆PQR Hence Proved.
Posted by Eram Fatima 5 years, 3 months ago (9740088)
- 2 answers
Yogita Ingle 5 years, 3 months ago (2577571)
The result of the February revolution of 1917 in Russia was the streets were crowded with the people raising slogans about bread, wages, better hours and democracy. The abdicated his power on 2nd March, and the Soviet and Duma leaders formed a Provisional Government for Russia. Restrictions on public meetings and association were removed after February Revolution.
Eram Fatima 5 years, 3 months ago (9740088)
Posted by Priya Rai 5 years, 3 months ago (9505108)
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Subir Kumar 5 years, 3 months ago (9582782)
Posted by Priya Rai 5 years, 3 months ago (9505108)
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Dayakant Kumar 5 years, 3 months ago (9463521)
Posted by Anshika Chaurashiya 5 years, 3 months ago (9795492)
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Posted by Aishwarya Banerjee 5 years, 3 months ago (9815076)
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Posted by Jahnavi Valeti 5 years, 3 months ago (9819604)
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Yogita Ingle 5 years, 3 months ago (2577571)
- Transpiration is the loss of water in the form of water vapour from the aerial parts of a plant.
- It occurs through openings called stomata.
- Water loss through evaporation lowers the concentration of water inside the mesophyll cells.
- Due to this, water enters mesophyll cells from neighbouring xylem vessels through osmosis.
- As water evaporates from the leaves, a suction force is created. This force helps to draw more water up through the stem which causes the roots to absorb more water from the soil.
- Higher the rate of transpiration, greater the rate of absorption of water and solutes from the soil.
- Transpiration also helps in maintaining the temperature of the plant body.
Posted by Brunda Brunda.D.K 5 years, 3 months ago (9550318)
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Posted by Nihar Chindak 5 years, 3 months ago (9756474)
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Yogita Ingle 5 years, 3 months ago (2577571)
Let's take one integer as x.
We know that, the consecutive one would obviously be x+1 and x+2
So the three numbers are x, x+1 and x+2.
Now, We know that they sum up to 156. Hence,
x+ x+1+ x+2=156
3x+3=156
3x=153
x=51
So the Consecutive integers will be 51, 52, 53 (x+1 and x+2)
Now that we have to find a number 'divisible' by 13. It is easy, We already know 52 is exactly divisibly by 13.
Posted by Sarthak Purohit 5 years, 3 months ago (9637216)
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Posted by Aadarsh Kumar 5 years, 3 months ago (9609531)
- 2 answers
Surjeet Mohanty 5 years, 3 months ago (9256191)
Yogita Ingle 5 years, 3 months ago (2577571)
By angle sum property we know that the sum of all the angles of a triangle is 1800
We know that all the sides of a triangle are equal.
i.e all the angles of an equilateral triangle are equal.
Let each angle be x.
x + x + x = 1800
3x = 1800
⇒x = 600
Hence the answe
Posted by Gowtham Sai Venkat Kavuru 5 years, 3 months ago (9455534)
- 1 answers
Gaurav Seth 5 years, 2 months ago (2898529)
WAVY CURVE METHOD
inequalities
If p, q and r are real numbers, then
-
-
-
and
-
-
-
and equality holds for a = 1
-
and equality holds for a = –1
Inequation Involving Exponential Expression:
-
If k > 0, then kx > 0 for all real x.
-
If k > 1, then kx > 1, when x > 0
-
If 0 < k < 1, then kx < 1, when x > 0 and kx > 1, when x < 0.
How to solve inequalities by wavy curve method
In order to solve the inequalities of the form
where n1, n2, ……. , n k , m1, m2, ……. , mp are real numbers and a1, a2, ……. , ak, b1, b2, ……., bp are any real number such that ai ≠ bj where i = 1, 2, 3, ….k and j = 1, 2, 3, ….p.
Method:
Step - 1→ First arrange all values of x at which either numerator or denominator is becomes zero, that means a1, a2,….., ak, b1, b2, ….bp in increasing order say c1, c2, c3,……. cp + k. Plot them on real line
Step -2 → Value of x at which numerator becomes zero should be marked with dark circles.
Step - 3 → All pints of discontinuities (x at which denominator becomes zero) should be marked on number line with empty circles. Check the value of ƒ(x) for any real number greater than the right most marked number on the number line.
Step - 4 → From right to left draw a wavy curve (beginnings above the number line in case of value of ƒ(x) is positive in step–3 otherwise from below the number line), passing thoroughly all the marked points. So that when passes through a point (exponent whose corresponds factor is odd) intersects the number line, and when passing thoroughly a point (exponent whose corresponds factor is even) the curve doesn’t intersect the real line and remain on the same side of real line.
Step - 5 → The appropriate intervals are chosen in accordance with the sign of inequality (the function ƒ(x) is positive wherever the curve is above the number line, it is negative if the curve is found below the number line). Their union represents the Detail Explanation of inequality
Example : Let
Detail Explanation :
Step - 1 → make on real line all x at which numerator becomes zero with dark circles.
Step - 2 → mark point of discontinuity (value of x at which denominator becomes zero) with empty circles
Step - 3 → Check ƒ(x) for x > 7, ƒ(8) > 0
Exponents of factors of –1, 3, 4 is even, hence wave will not change the direction at these points.
Hence
Posted by Tanya Gaur 5 years, 3 months ago (9822728)
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Amit Singh 5 years, 3 months ago (9236905)
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Moon Chetry 5 years, 2 months ago (1033779)
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Yogita Ingle 5 years, 3 months ago (2577571)
Air pressure is the weight of air molecules pressing down on the Earth. The pressure of the air molecules changes as you move upward from sea level into the atmosphere. The highest pressure is at sea level where the density of the air molecules is the greatest.
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