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Ques:- Im aruna. im coming from Anagapathur near pallavaram. Now i studying in Bsc (IT) , annamalai university in chennai.
Ques:- When x is real what is the least value of (x**2-6*x+5)/(x**2+2*x+1)
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Recent Answer : :
F
Ques:- Train 400 m long can cross an electric pole in 20 sec and then evaluate the speed of the train?
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Ques:- The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs. 20 per kg. if both Type I and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is
A. Rs. 18
B. Rs. 18.50
C. Rs. 19
D. Rs. 19.50
Recent Answer : :
a
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Ques:- How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Recent Answer : :
speed of the train respect to man
= (63 – 3) km/hr
= 60 km/hr
= 60 * 1000 / 3600 m/sec
= 50/3 m/sec
time
= distance/speed
= 500 * 3/ 50
= 30 sec
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A. 10%
B. 11%
C. 15%
D. 20%
Recent Answer : :
Ans is 10%
Printer price = x;
Computer price = 3x
Total overall price = 20x + 60 x 3x = 200x
Printer percent = (20x/200x ) x 100 = 10%
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Recent Answer : :
94
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Recent Answer : :
60 more men
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Ques:- A certain sum amounts to Rs.1725 in 3 years and Rs.1875 in 5 years. Evaluate the rate % per annum?
Recent Answer : :
A certain sum amounts to Rs. 1725 in 3 years
and amounts to Rs.1875 in 5 years
so interest of 2 years = 1875 -1725
= 150
so interest of 1 year = 75
so interest of 3 years = 75 × 3 =225 rs
so , Principal = Amount – SI
= 1725 – 225
= 1500 rs
now ,
S.I. = P × N × R /100
75 = 1500 × 1 × R /100
R = 75 / 15
R = 5%
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A. 94, 106
B. 84, 96
C. 70. 82
D. 66, 78
Recent Answer : :
B
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(x**2 – 6* x + 5) = (x-1)*(x-5)
(x**2 + 2 * x + 1) = (x + 1) * (x+1) = (x+1)**2
For what x is (x-1)*(x-5)/( (x+1)**2) a minimum?
One way to answer this question is by using calculus.
Take the derivative, and set to zero.
Since this is a fraction of polynomials, and a fraction is
zero only if it’s numerator is zero, we need calculate only
the numerator of the derivative and set it to zero.
The numerator of the
Derivative of (x-1)*(x-5)/( (x+1)**2) is
( (x-1) + (x-5) ) ( x+1)**2 – (x-1)(x-5)( 2 (x+1) )
= (2 x – 6) (x+1)**2 – (2) (x-1)(x-5) (x+1)
= 0
Divide through by 2 (x+1)
(x-3)(x+1) – (x-1)(x-5) = 0
(x**2 – 2 x – 3 ) – (x**2 – 6 x + 5) = 0
x**2 – x**2 – 2 x + 6 x – 3 – 5 = 0
4 x – 8 = 0
x = 2
Plugging in x = 2 into the original
(x**2-6*x+5)/(x**2+2*x+1)
gives us (2**2 – 6 * 2 + 5)/(2**2 + 2*2 + 1)
= (4 – 12 + 5) / (4 + 4 + 1) = -3/9 = -1/3
Least value is -1/3