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Yogita Ingle 6 years, 5 months ago
Large scale participation of women was an important feature of the Civil Disobedience Movement. During the Salt March, thousands of women came out of their homes to listen to the speeches of Gandhi. women participated in protest marches, manufactured salt, and picketed foreign cloth and liquor shops. Many went to jail. While women of high caste families participated from urban areas, in rural areas they came from rich peasant households.
But this did not bring about any radical changes in the positin of women. For a long time the Congress was reluctant to allow women to hold any position of authority within the organisation.
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Nm ???? 6 years, 5 months ago
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Gaurav Seth 6 years, 5 months ago
Given a quadratic equation :
x² + bx + c = 0
The discriminant is given by:
d = b² - 4ac
Where a , b and c are constants.
From the question we have :
(x + 5)² = 2(5x - 3)
x² + 10x + 25 = 10x - 6
Collecting the like terms together we have :
x² + 10x + 25 - 10x + 6 = 0
x² + 31 = 0
In our case :
b = o
c = 31
a = 1
Doing the substitution we have :
d = - 4 × 1 × 31 = -124
= -124
Posted by Manoj Kumar Pandey 6 years, 5 months ago
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Gaurav Seth 6 years, 5 months ago
Let unit digit=x
tens digit=y
number=10y+x
(10y+x)/x+y =7 (1)
10y+x-27=10x+y
9y-9x-27=0
y-x-3=0
from (1) 10y+x=7x+7y
3y=6x
y=2x
2x-x-3=0
x=3,y=6
number=63
Posted by Gowri Shankar 6 years, 5 months ago
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Gaurav Seth 6 years, 5 months ago
Question: Draw a circle of radius 3 cm. Take two points P and Q on one of its extended diameter each at a distance of 7 cm from its centre. Draw tangents to the circle from these two points P and Q.
Explanation:
Posted by Mitra Suresh 6 years, 5 months ago
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Sia ? 6 years, 5 months ago
(-4) + (-1) + 2 + 5 + ---- + x = 437.
Now,
-1 - (-4) = -1 + 4 = 3
2 - (-1) = 2 + 1 = 3
5 - 2 = 3
Thus, this forms an A.P. with a = -4, d = 3,l = x
Let their be n terms in this A.P.
Then,
Sn = {tex}\frac { n } { 2 } [ 2 a + ( n - 1 ) d ] {/tex}
{tex}\Rightarrow 437 = \frac { n } { 2 } [ 2 \times ( - 4 ) + ( n - 1 ) \times 3 ]{/tex}
{tex}\Rightarrow{/tex} 874 = n[-8 + 3n - 3]
{tex}\Rightarrow{/tex}874 = n[3n - 11]
{tex}\Rightarrow{/tex}874 = 3n2 - 11n
{tex}\Rightarrow{/tex}3n2 - 11n - 874 = 0
{tex}\Rightarrow{/tex}3n2 - 57n + 46n - 874 = 0
{tex}\Rightarrow{/tex}3n(n - 19) + 46(n - 19) = 0
{tex}\Rightarrow{/tex}3n + 46 = 0 or n = 19
{tex}\Rightarrow n = - \frac { 46 } { 3 }{/tex} or n = 19
Numbers of terms cannot be negative or fraction.
{tex}\Rightarrow{/tex} n = 19
Now, Sn = {tex}\frac { n } { 2 } [ a + l ]{/tex}
{tex}\Rightarrow 437 = \frac { 19 } { 2 } [ - 4 + x ]{/tex}
{tex}\Rightarrow - 4 + x = \frac { 437 \times 2 } { 19 }{/tex}
{tex}\Rightarrow - 4 + x = 46{/tex}
{tex}\Rightarrow x = 50{/tex}
Posted by Mitra Suresh 6 years, 5 months ago
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Mohammad Amaan 6 years, 5 months ago
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Sia ? 6 years, 5 months ago
Since, {tex}α{/tex} and {tex}β{/tex} are the zeroes of the quadratic polynomial.
We have,
f(x) = x2 + x - 2
{tex}\Rightarrow{/tex}x2 + x - 2 = 0
{tex}\Rightarrow{/tex}x2 + 2x - x - 2 = 0
{tex}\Rightarrow{/tex}x(x +2) -1(x + 2) = 0
{tex}\Rightarrow (x-1)(x+2)=0{/tex}
{tex}\Rightarrow x-1=0 \ and \ x+2=0{/tex}
{tex}\Rightarrow{/tex}x = 1 and x = -2
{tex}\therefore \alpha = -2, \beta = 1{/tex}
So,
{tex}\frac{1}{\alpha } - \frac{1}{\beta }{/tex}
{tex}= \frac{{\beta - \alpha }}{{\alpha \beta }}{/tex}
= {tex}\frac{{1 + 2}}{{2(- 1)}} = - \frac{3}{2}{/tex}
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