@kumargaurav_bn said:Find the number of solutions in real numbers x^4 + |x| = 10a) 0 b) 1 c) 2 d) 4 e)8
0
@kumargaurav_bn said:Find the number of solutions in real numbers x^4 + |x| = 10a) 0 b) 1 c) 2 d) 4 e)8
C????
@vijay_chandola said:Let O, A, B, C be four points in a plane such that OA = OB = 15 and OC = 7. What is the maximum area of the triangle ABC?
is the ans 105....?
if not, plz give options...
if not, plz give options...
@sujamait said:Bhanu and Ria start running simultaneously on a linear track with same speeds and cover first280 m in €˜t €™ seconds. After covering every 280 m, Bhanu decreases her speed by fraction of1/2andRia decreases her speed by fraction of2/3Bhanu takes 1.5t minutes less than the time taken byRia to cover the entire distance. Find the distance, which in metres is an integer multiple of 280?A. 2800 B. 1680 C. 1400 D. 2240
Time taken by Bhanu = t + 2t + 4t + ... secs = (2^b -1)*t
Time taken by Ria = t + 3t + 9t + ... secs = (3^r - 1)*(t/2)
They cover the same distance -> 280*b = 280*r => b = r
([3^b]/2 - 2^b + 1/2) = 60*1.5 = 90
3^b - 2^(b+1) = 179 => b = 5
=> D = 280*5 = 1400
@sujamait Aap toh bura maan gaye..ye lo question..
(a) 17
(b) –7
(c) –17
(d) None of these
@soham2208 said:Time taken by Bhanu = t + 2t + 4t + ... secs = (2^b -1)*tTime taken by Ria = t + 3t + 9t + ... secs = (3^r - 1)*(t/2) They cover the same distance -> 280*b = 280*r => b = r([3^b]/2 - 2^b + 1/2) = 60*1.5 = 903^b - 2^(b+1) = 179 => b = 5 => D = 280*5 = 1400
In this case Bhanu takes 31 t mins Ria takes 121t mins..
How is it 1.5t mins less? I don't understand.. Can you explain?
@SarayuSheshadri said:In this case Bhanu takes 31 t mins Ria takes 121t mins..How is it 1.5t mins less? I don't understand.. Can you explain?
Not 31*t mins.. 31*t seconds..
@Torque024 is the ans a) ???
@Torque024 said:a) (1+sqrt(17)/2b) (1+sqrt(13)/2 c) (1+sqrt(21)/2 d) (1+sqrt(7)/2
@kumargaurav_bn said:Find the number of solutions in real numbers x^4 + |x| = 10a) 0 b) 1 c) 2 d) 4 e)8
x>=0 => f(x) = x^4 + x -10 -> Increasing function , and f(2)*f(1) One root between 1 and 2
For x less than 0, another root between -1 and -2. .. Option c) ?
@soumitrabengeri said:@sujamait Aap toh bura maan gaye..ye lo question..Each root of the equation ax3 – 7x2 + cx + 231 = 0 is an integer. One of the roots is -1/2 times the sum of the other two roots. What is the sum of all the possible values of a?(a) 17 (b) –7 (c) –17 (d) None of these
D??
@soumitrabengeri said:@sujamait Aap toh bura maan gaye..ye lo question..Each root of the equation ax3 – 7x2 + cx + 231 = 0 is an integer. One of the roots is -1/2 times the sum of the other two roots. What is the sum of all the possible values of a?(a) 17 (b) –7 (c) –17 (d) None of these
Is it NOT?
@soumitrabengeri said:@sujamait Aap toh bura maan gaye..ye lo question..Each root of the equation ax3 – 7x2 + cx + 231 = 0 is an integer. One of the roots is -1/2 times the sum of the other two roots. What is the sum of all the possible values of a?(a) 17 (b) –7 (c) –17 (d) None of these
bura nhn yar aise hee realized a pattern.. :P
14 none ?
@sujamait said:bura nhn yar aise hee realized a pattern.. 14 none ?
Option is correct..but answer is wrong
And with all due respect..this is not a pattern..this is one of the rare days that i was not on PG..please ask anyone here on this forum
@soumitrabengeri said:@sujamait Aap toh bura maan gaye..ye lo question..Each root of the equation ax3 – 7x2 + cx + 231 = 0 is an integer. One of the roots is -1/2 times the sum of the other two roots. What is the sum of all the possible values of a?(a) 17 (b) –7 (c) –17 (d) None of these
NOT?
@soumitrabengeri said:@sujamait Aap toh bura maan gaye..ye lo question..Each root of the equation ax3 – 7x2 + cx + 231 = 0 is an integer. One of the roots is -1/2 times the sum of the other two roots. What is the sum of all the possible values of a?(a) 17 (b) –7 (c) –17 (d) None of these
x+y+z=7/a
xyz=-231/a
x=-7/a
=>yz=33=33*1=11*3
=>x=-1/2(33+1)=-17 and -1/2(11+3)=-7
so sum=7/(-17+34)+7/(-7+14)=7/17+1=24/17
so none?
xyz=-231/a
x=-7/a
=>yz=33=33*1=11*3
=>x=-1/2(33+1)=-17 and -1/2(11+3)=-7
so sum=7/(-17+34)+7/(-7+14)=7/17+1=24/17
so none?
@krum said:x+y+z=7/axyz=-231/ax=-7/a=>yz=33=33*1=11*3=>x=-1/2(33+1)=-17 and -1/2(11+3)=-7so sum=7/(-17+34)+7/(-7+14)=7/17+1=24/17so none?
-ve values b hongi na?
I guess 0 aega sum
I guess 0 aega sum
@krum said:x+y+z=7/axyz=-231/ax=-7/a=>yz=33=33*1=11*3=>x=-1/2(33+1)=-17 and -1/2(11+3)=-7so sum=7/(-17+34)+7/(-7+14)=7/17+1=24/17so none?
@deedeedudu said:-ve values b hongi na? I guess 0 aega sum
Answer is 0