a , b , c are non negative real no. such that a>b>c and a+b+c
then find the range of a^2 + 3 b^2 + 5 c^2
@anytomdickandhary
@rkshtsurana said:@anytomdickandharya , b , c are non negative real no. such that a>b>c and a+b+c then find the range of a^2 + 3 b^2 + 5 c^2
(0,1) ?
@rkshtsurana said:@anytomdickandharya , b , c are non negative real no. such that a>b>c and a+b+c then find the range of a^2 + 3 b^2 + 5 c^2
0a^2 + 3 b^2 + 5 c^2
@IIM-A2013 said:@krumbut in book first answer is 282.75.second is cbd.
Sometimes we have to take matters into our own hands !!
@rkshtsurana said:@krum@grkkrgoptions were [0,1] , [0,2] , [0,3] , [0,4] , NOT[ ] kese ayega
phir NOT
@rkshtsurana said:@krum@grkkrgoptions were [0,1] , [0,2] , [0,3] , [0,4] , NOT[ ] kese ayega
a^2 + 3 b^2 + 5 c^2 = 0
only if a = b = c = 0
yeh nahi ho sakta
so NOT
only if a = b = c = 0
yeh nahi ho sakta
so NOT
@grkkrg said:a^2 + 3 b^2 + 5 c^2 = 0only if a = b = c = 0yeh nahi ho saktaso NOT
Bro yeh brackets {} ,[],[)..kis kis cases mein lagte hai..
@Shray14 said:Bro yeh brackets {} ,[],[)..kis kis cases mein lagte hai..
[] - limits included
{} - limits not included
{} - limits not included
@Shray14 said:Bro yeh brackets {} ,[],[)..kis kis cases mein lagte hai..
0 0 0 0
@Shray14 said:Bro yeh brackets {} ,[],[)..kis kis cases mein lagte hai..
{x,y}----> range of variable is only two values x and y.
[x,y]------> range of variable is vary from x(including x) to y(including y) i.e. x
[x,y)------>range of variable is vary from x(including x) to y(excluding y) i.e. x
it helps...
@krum said:[] - limits included{} - limits not included
@grkkrg said:0 0 0 0
Then yeh last questn mein {} kaise aaye..[0,1] nahi aana chaiye??
@Shray14 said:Then yeh last questn mein {} kaise aaye..[0,1] nahi aana chaiye??
my bad its (0,1)
@gupanki2 said:At a certain stationery store, only 4 varities of pen and 4 varities of pencils are sold. the price of one of each of the 4 varities of pen is Rs 45. The price of a set of each of the four varities of pencil is Rs 12. The price of the cheapest pencil is Rs 1 and the combined price of 3 of the varities of pens are exactly twice the combined price of the other 3 varities of pencils. What is price of the costliest variety of pen?
45-22=23
@rachit_28 said:15.The seven-digit number 1468 x 8y is divisible by 4. Find the probability that it is also divisible by 9.1/152/151/54/15i am getting the cases like for y = 0, x= 0 or 9for y = 4, x = 5for y = 8, x=1 but unable to proceed further.
y - 0,4,8
sum of digits = 27+x / 31+x / 35+x
x - 0,9 for 27; 5 for 4; 1 for 35
so 2/10*1/3 + 1/10*1/3 + 1/10*1/3 = 4/30 = 2/15
sum of digits = 27+x / 31+x / 35+x
x - 0,9 for 27; 5 for 4; 1 for 35
so 2/10*1/3 + 1/10*1/3 + 1/10*1/3 = 4/30 = 2/15
@rkshtsurana said:@anytomdickandharya , b , c are non negative real no. such that a>b>c and a+b+c then find the range of a^2 + 3 b^2 + 5 c^2
clearly lower limit is 0
(a+b+c)^2 = (a^2 +b^2 +c^2 + 2ab + 2bc + 2ca)
=> (a+b+c)^2 = a^2 + (b^2+2ab) + (c^2+2bc+2ca)
=> (a+b+c)^2 >= a^2 + (b^2 + 2b*b) + (c^2 + 2c*c + 2c*c) [as a>b>c]
=>(a+b+c)^2 >= a^2 + 3b^2 + 5c^2
=>1>(a+b+c)^2 >= (a^2+3b^2+5c^2)
Hence range is 0
ATDH.
@kingsleyx said:Carl walks over a railway-bridge. At the moment that he is just ten meters away from the middle of the bridge, he hears a train coming from behind. At that moment, the train, which travels at a speed of 90 km/h, is exactly as far away from the bridge as the bridge measures in length. Without hesitation, Carl rushes straight towards the train to get off the bridge. In this way, he misses the train by just four meters! If Carl would, however, have rushed exactly as fast in the other direction, the train would have hit him eight meters before the end of the bridge.What is the length of the railway-bridge?
(L-4)/90=(L/2-10)/C
(2L-8)/90=(L/2+2)/C
dividing both
(L-4)/(2L-8)=(L-20)/(L+4)
=>L^2-16=2L^2-48L+160
=>L^2-48L+176=0
=>L=44 m
(2L-8)/90=(L/2+2)/C
dividing both
(L-4)/(2L-8)=(L-20)/(L+4)
=>L^2-16=2L^2-48L+160
=>L^2-48L+176=0
=>L=44 m
@kingsleyx said:In a class are twenty-six children. None of the children was born on February 29th. What is the probability that at least two children have their birthdays on the same day?
1-365p26/365^26
ABCD is a rectangle with AD = 10. P is a point on
BC such that ∠ APD = 90°. If DP = 8 then the
length of BP is ___?
A. 6.4
BC such that ∠ APD = 90°. If DP = 8 then the
length of BP is ___?
A. 6.4
B. 5.2
C. 4.8
C. 4.8
D. 3.6
E. None of the above
E. None of the above
@htomar said:ABCD is a rectangle with AD = 10. P is a point onBC such that ˆ APD = 90 °. If DP = 8 then thelength of BP is ___?A. 6.4 B. 5.2C. 4.8 D. 3.6E. None of the above
3.6..Done yesterday