@amresh_maverick said:aisa karo aap wo comedy picture hi dekho ans hai -4
WAH WAH kya bola :P
@iLoveTorres said:WAH WAH kya bola
Itna kyun khush ho gaye bhai ??? chalo ye solve karo
Find the least value of x² + 4y² + 9z², if x + y + z = 14
Find the least value of x² + 4y² + 9z², if x + y + z = 14
@amresh_maverick said:If a , b, and c are the roots of 2x^3+4x^2 -3x-1=0 find tha value of (1-a)(1-b)(1-c)
1 ?
a + b + c = -4/2
ab + bc + ca = -3/2
abc = 1/2
(1 - a)(1 - b)(1 - c) = 1 - (a + b + c) -abc + ab +bc + ca = 1 - (-4/2) -1/2 - 3/2 = 6 - 4/2 = 1
@amresh_maverick said:OA =1x^2 + px +3=0 if roots are two successive odd natural nos, find the value of p ?
-4 ?
x^2 + px + 3 = 0
x^2 + 3x + x + 3 = 0
(x + 3)(x + 1) = 0
x = -3,-1
@amresh_maverick said:Itna kyun khush ho gaye bhai ??? chalo ye solve karoFind the least value of x² + 4y² + 9z², if x + y + z = 14
@amresh_maverick said:aisa karo aap wo comedy picture hi dekho ans hai -4
firstly horror flick h 😛 :P
secondly, Apologies
see, .. 2n+1, 2n+3 lo.
product of both should be.. 3
(2n+1)(2n+3)=3
4n^2 + 8n +3=3
or 4n(n+2)=0
n=0,-2
roots can be -1,-3. or 1,3
2n+1+2n+3=-p
4n+4=-p
putting n=0.. p=-4 (roots 1,3)
putting n=-2 ..p=4 (roots, -1,-3... yeh wala daala tha uppar. but this is not the answer as roots has to be odd natural number.)
P.S : deleted the post to show how i did. hit n trial se bhi ho sakta h. :)
secondly, Apologies
see, .. 2n+1, 2n+3 lo.
product of both should be.. 3
(2n+1)(2n+3)=3
4n^2 + 8n +3=3
or 4n(n+2)=0
n=0,-2
roots can be -1,-3. or 1,3
2n+1+2n+3=-p
4n+4=-p
putting n=0.. p=-4 (roots 1,3)
putting n=-2 ..p=4 (roots, -1,-3... yeh wala daala tha uppar. but this is not the answer as roots has to be odd natural number.)
P.S : deleted the post to show how i did. hit n trial se bhi ho sakta h. :)
@ChirpiBird Horror movie dekhni hai toh GRUDGE ya WOMEN IN THE BLACK dekho.. warna NUMBER 26 is also good :P
@mailtoankit said:-4 ?x^2 + px + 3 = 0x^2 + 3x + x + 3 = 0(x + 3)(x + 1) = 0x = -3,-1
i think roots 1,3 hone chahiye na.. odd natural numbers cannot be negative integers.
moreover isse p=4 ayega.
p = sum of roots.
but eq mein +p h.
so when u write the eq it'll be -p=-3-1
or p=4. :)
correct me if i am wrong
moreover isse p=4 ayega.
p = sum of roots.
but eq mein +p h.
so when u write the eq it'll be -p=-3-1
or p=4. :)
correct me if i am wrong
@amresh_maverick said:Itna kyun khush ho gaye bhai ??? chalo ye solve karoFind the least value of x² + 4y² + 9z², if x + y + z = 14
bhai OA kya hai?
@iLoveTorres said:bhai OA kya hai?
{x² + (2y)² + (3z)²}{1 + (1/2)² + (1/3)²} ≥{x + 2y(1/2) + 3z(1/3)}²
=> (x² + 4y² + 9z²)≥ (x + y + z)²/{1 + (1/2) + (1/3)}²
=> (x² + 4y² + 9z²)≥ 196/(49/36)
=> (x² + 4y² + 9z²)≥ 144
Cauchy-Schwarz inequality.
=> (x² + 4y² + 9z²)≥ (x + y + z)²/{1 + (1/2) + (1/3)}²
=> (x² + 4y² + 9z²)≥ 196/(49/36)
=> (x² + 4y² + 9z²)≥ 144
Cauchy-Schwarz inequality.
@iLoveTorres said:@ChirpiBird Horror movie dekhni hai toh GRUDGE ya WOMEN IN THE BLACK dekho.. warna NUMBER 26 is also good
see PM
@amresh_maverick said:{x² + (2y)² + (3z)²}{1 + (1/2)² + (1/3)²} ≥{x + 2y(1/2) + 3z(1/3)}²=> (x² + 4y² + 9z²)≥ (x + y + z)²/{1 + (1/2) + (1/3)}²=> (x² + 4y² + 9z²)≥ 196/(49/36)=> (x² + 4y² + 9z²)≥ 144Cauchy-Schwarz inequality.
agar maximum value dhoondna hai toh wats the modification?
@iLoveTorres said:agar maximum value dhoondna hai toh wats the modification?
No idea
but in this case
(x² + 4y² + 9z²)≥ 144 , its max value will be infinity
PS: sikhne ki badi lalak hai tumme, bahut upar jaaoge
but in this case
(x² + 4y² + 9z²)≥ 144 , its max value will be infinity
PS: sikhne ki badi lalak hai tumme, bahut upar jaaoge
When in need remember @scrabbler
Bhai yeh cauchy-schwarz inequality ko maximum dhoondne ke liye kya modification hai?
@amresh_maverick said:No idea but in this case (x² + 4y² + 9z²)≥ 144 , its max value will be infinityPS: sikhne ki badi lalak hai tumme, bahut upar jaaoge
Bhai agar kuch sikha nahi toh kya paya? yeh toh aap sab ki kripa hai ki aap itne helpful hai.. baaki hum toh sirf aap ke madad se hi sikhte hai :)
When in need remember @scrabbler
Bhai yeh cauchy-schwarz inequality ko maximum dhoondne ke liye kya modification hai?
@amresh_maverick said:No idea but in this case (x² + 4y² + 9z²)≥ 144 , its max value will be infinityPS: sikhne ki badi lalak hai tumme, bahut upar jaaoge
Bhai agar kuch sikha nahi toh kya paya? yeh toh aap sab ki kripa hai ki aap itne helpful hai.. baaki hum toh sirf aap ke madad se hi sikhte hai :)
There are 3 states and 3 students representing each state. In how many ways can 5 students be chosen such that at least one student is chosen from each state ?
PS: sabha yahi samapt hoti hai
@amresh_maverick said:There are 3 states and 3 students representing each state. In how many ways can 5 students be chosen such that at least one student is chosen from each state ?PS: sabha yahi samapt hoti hai
21?
@ChirpiBird said:@scrabblerPlease see what i am doing wrong.too confused now to proceed. ..
yeh kaunsa question hai?
@amresh_maverick said:There are 3 states and 3 students representing each state. In how many ways can 5 students be chosen such that at least one student is chosen from each state ?PS: sabha yahi samapt hoti hai
OA: 108
subh ratri 😃
subh ratri 😃