@gautam22 said:70 hai sir
kaise kiya.. mera to 60 aa raha hai..
@nick_baba said:The number of rational points x = p/5 satisfying log(2x-3/4)/logx > 2, where p is an integer and GCD(p, 5) = 1, is/are??
4 values...3,4,6 and 7??
1/2
2.5
hence..p=3,4,6 and 7?
@soham2208 said:2x - 3/4 >0 => x>3/8 and (x not equal to 1)Assuming the base of the logarithm to be 10,2x-3/4 > x^2 => 4x^2 - 8x + 3 (2x-3)(2x -1) => x > 1/2 and x less than 3/2x = p/5 , p is an integer=> p > 5/2 and less than 15/2 => p = 3,4,6,7 -> 4 such points ? PS: Calculation mistakes could be there
nopes...
@nick_baba said:The number of rational points x = p/5 satisfying log(2x-3/4)/logx > 2, where p is an integer and GCD(p, 5) = 1, is/are??
2 points?
@gautam22 said:60 aa raha hai to approach batao maine kiya nahi hai OA ye hai......soln. mein kuch jyada hi construction kar rakhi hai......samajh to aa gaya par aisa lag raha hai jaise question ans ko dekh ke banaya hai
yaar ab 60 nahi hai...mein jo appraoch lagaye thi..waise koi rule nahi hai....so mera koi approach nahi hai...zayada hi excitement mein aa kar 60 bata diya..
...jo soln mein approach hai thoda wo hi bata do..
..so mera koi approach nahi hai...zayada hi excitement mein aa kar 60 bata diya.....jo soln mein approach hai thoda wo hi bata do.. @gautam22 said:A point P in the interior of a triangle ABC .Angle C is d largest angle.....den wat is d value of PA+PB-PC.....>0>=0CAT 2012 ques
>0..
@gautam22 said:A point P in the interior of a triangle ABC .Angle C is d largest angle.....den wat is d value of PA+PB-PC.....>0>=0CAT 2012 ques
>0
Imagine a point close to A or B
Imagine a point close to A or B
@gautam22 said:A point P in the interior of a triangle ABC .Angle C is d largest angle.....den wat is d value of PA+PB-PC.....>0>=0CAT 2012 ques
Edited: >0 ??
@gautam22 said:A point P in the interior of a triangle ABC .Angle C is d largest angle.....den wat is d value of PA+PB-PC.....>0>=0CAT 2012 ques
>0
@gautam22 said:sir main kahta hoon saare galat hon par aap theek hon.....par mereko laga baad mein ke sirf >0 hona chahiye....
I just forgot that the point is interior... 😛 I took it on one of the sides.. baad me fir se padha quest :P
@gautam22 said:sir p=3,4 pe logx negative nahi ho jayega sirf do p0ints hone chahiye?
Yaar..log x -ve ho to koi problem ni..we just have to make sure that both should be +ve or -ve simultaneously.. what say?
@nick_baba said:The number of rational points x = p/5 satisfying log(2x-3/4)/logx > 2, where p is an integer and GCD(p, 5) = 1, is/are??
@anytomdickandhary sir thoda ispe help kariye plz..
@gautam22 said:han to sir vahi to upar vala numerator positive hoga aur neeche negative.....2*3-3/4>1...same for 4
p=3 means x=3/5 na... 2*3/5-3/4
@deedeedudu said:2 hi points honge bhai
yaar OA hmesha tmse naaraz kyu rhta hai....@ScareCrow28 @deedeedudu ..tum dono apne apne points batao jo a rahe hai...
A milkman had a mixture of milk and water with him. The ratio of milk to water is 4:5. The milkman then boils the mixture so as to achieve a concentration of 50%. But, since he was distracted by the world cup finals being telecast live on T.V., he boiled the milk and realized that the initial ratio of milk to water has been reversed.
If, by then he has boiled the milk for exactly 90/7 minutes, find the extra time(in mins) for which the milk has boiled, given that the rate of evaporation of water is 50% more than that of milk.
log(2x-3/4)/logx >2
Solving the log equation: 1/2 or 2.5
Case 1: 2x-3/4 >1 and x>1
=> x>1 => p>5 Hence p=6 and 7 (2 solutions)
Case 2: 2x-3/4
=> x
=> x
=> p= 3 and 4 (2 solutions)
I suppose something is wrong with my solution ..Please find it! 
@nick_baba (Is it 3 ?)
Assuming the base of the logarithm to be 10,
Case 1: log(x)> 0 => x > 1
2x-3/4 > x^2 => 4x^2 - 8x + 3 (2x-3)(2x -1) => x > 1/2 and x less than 3/2
x = p/5 , p is an integer
=> p > 5/2 and less than 15/2 => p = 6,7
Case 2: log(x) x
(2x - 3/4) x less than 1/2 => p p = 2
p = 2,6,7 ?