Algebra For CAT 2012

So Puys, Official Quant Thread is going too fast with way too many topics clubbed together. Please carry on all Algebra related discussions in this thread. All the Best For CAT 2012. :: ::

So Puys, Official Quant Thread is going too fast with way too many topics clubbed together.

Please carry on all Algebra related discussions in this thread.


All the Best For CAT 2012.

Found a great Link for Functions..


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So Puys, Official Quant Thread is going too fast with way too many topics clubbed together.

Please carry on all Algebra related discussions in this thread.


All the Best For CAT 2012.


Great initiative buddy.....

Q.1


If f(x) = x2 + 6 and g(x) = x3 - 11, then h(x) = f(x) - g(x) is a/an

1)
Even function
2)
Odd function
3)
Neither even nor odd function
4)
Data Insufficient

Q.1


If f(x) = x2 + 6 and g(x) = x3 11, then h(x) = f(x) g(x) is a/an

1)
Even function
2)
Odd function
3)
Neither even nor odd function
4)
Data Insufficient


is it option 3??
Q.1


If f(x) = x2 + 6 and g(x) = x3 11, then h(x) = f(x) g(x) is a/an

1)
Even function
2)
Odd function
3)
Neither even nor odd function
4)
Data Insufficient

Its option 3..

The function f(x)-g(x)=x^2-x^3+17
f(x)!=f(-x)
f(x)!=-f(-x)

hence should be 3...

billu bhai great initiative...wil be as active as possible

Q.2


The value of the quadratic function f(x) = ax
2 + bx + c is minimum for x = -2.5. Also, it is known
that f(-2) = -2f(3).

1. Find the product of the roots of f(x).
1) 14 2) -14
3) -9 4) 9
5) Cannot be determined

2. Determine the minimum value of f(x).
1) -60.75 2) -91
3) -2.5 4) -121.5
5) Cannot be determined

PS: Please post Question NUmber/Set No while posting a question or answering it, will make life easier!!!

Q. 3
If f(a, 0) = 2a - 1

f(0, b) = b - 3

f(a, b) = f

Then,

f(99, 243) is equal to
1)33

2)37

3)36

4)35

Q3
4)35

:-)

Q3
2)37

:-)


Second wala sir??

Q.1

OA

3)
Neither even nor odd function

All of us got it right!! Nice start...

Q2.

1) -14
2) -2.5 :biggrin:

Q3.
i would say the answer is 35.

f(99,243) = f
= f
so, this can be reduced to f = 2*18-1 = 35

Q.2


The value of the quadratic function f(x) = ax
2 + bx + c is minimum for x = 2.5. Also, it is known

that f(2) = 2f(3).



1. Find the product of the roots of f(x).
1) 14 2) 14
3) 9 4) 9
5) Cannot be determined




2. Determine the minimum value of f(x).
1) 60.75 2) 91
3) 2.5 4) 121.5


5) Cannot be determined

PS: Please post Question NUmber/Set No while posting a question or answering it, will make life easier!!!







1) products of roots = -14 (equation is--> x2+5x-Product)
sum of roots = -(b/a) and it's given -(b/2a)=-2.5)
Q.2


The value of the quadratic function f(x) = ax
2 + bx + c is minimum for x = -2.5. Also, it is known
that f(-2) = -2f(3).

1. Find the product of the roots of f(x).
1) 14 2) -14
3) -9 4) 9
5) Cannot be determined

2. Determine the minimum value of f(x).
1) -60.75 2) -91
3) -2.5 4) -121.5
5) Cannot be determined

PS: Please post Question NUmber/Set No while posting a question or answering it, will make life easier!!!


Q 2. 1) -14
2) cannot be determined (since b and c can be expressed in terms of a but minimum value will depend on the value of a which is not known.)

Set 2

OA

!) -14
2) Cannot be determined (since b and c can be expressed in terms of a but minimum value will depend on the value of a which is not known.) as said by bindita..

Teesra bhi kar lo puys...next set thodi der me post karta hu..

Set 5


If log10 (y 21) + log10y = 2, which of the following is the value of y?
10
25
4
10

1)
(i) or (iv)
2)
(iii) only
3)
(ii) or (iii)
4)
Cannot be determined
5)
None of these

Set 5

log10(y-21)y = 2
log(y-21)y/log10 = 2
log (y-21)y = log 100
y^2-21y-100 = 0
y = -4,25

but we cannot take -ve log so y =25
therefore only 2.

none of these..