For x∈N, x>1, and p=logxx+1, q=logx+1x+2 then which one of the following is correct?
kl>k+1l+1 for (k,l) > 0 and k > l
Let k = x+1 and l = x
Therefore, x+1x>(x+1)+1(x)+1
(x + 1) > x
Therefore, log(x+1)log(x)>log(x+2)log(x+1)
⇒logxx+1 >logx+1x+2
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A rectangular lawn of dimensions 80 m x 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m ?
Area = (l + b – d) d
= (80 + 60 – 10)10
=> 1300 sq.mts
=> 1300 x 3 = Rs.3900
Which revolutionary died after a 64 days fast in jail?
Jatindra Nath Das, also known as Jatin Das, was a revolutionary and Independence activist. He embraced death in Lahore jail after fasting for 64 days in 1929 at the age of 24 yrs.
Who did not have an important role in the Swadeshi Movement ?
Rupee : Indian :: Yen : ?
The rupee is the currency of India. Similarly, Yen is the currency of Japan.
Hence, Rupee : Indian :: Yen : Japan.
If the radius of base and height of a cone are increased by 10%, find the percentage of increase of its volume
v1= 13πr12h1
v2=13πr22h2
% Increase in volume = (V2-V1) / (V2*100)
What value replaces " ? " in the below figure ?
Here it follows
426-153=2 and 3819-2010 =0
In the same way 399-93=1
The Essar group of companies has been promoted by _____
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