Let a and b be positive real numbers wi...

Let a and b be positive real numbers with ` a^(3) +b^(3) = a -b and k = a^(2) + 4b^(2)` , then (1)` k lt 1` (2) `k gt 1` (3) `k = 1 `(4) `k gt 2`

Verified by Experts

The correct Answer is:

1

COMPLEX NUMBERS AND QUADRATIC EQUATIONS
AAKASH INSTITUTE|Exercise section-I (Subjective Type Questions)|15 Videos
BINOMIAL THEOREM
AAKASH INSTITUTE|Exercise Assignment (section-J) Objective type question (Aakash Challengers Questions)|4 Videos
CONIC SECTIONS
AAKASH INSTITUTE|Exercise SECTION - J ( Aakash Challengers Questions )|14 Videos

Similar Questions

Explore conceptually related problems

The number of pairs (a, b) of positive real numbers satisfying a^(4)+b^(4)lt1" and "a^(2)+b^(2)gt1 is

a,b are distinct natural numbers that (1)/(a)+(1)/(b)=(2)/(5). If sqrt(a+b)=k sqrt(2), then the value of k is

Let A and B are square matrices of order 3. If |A|=4, |B|=6, B=A-2I and |adj(I-2A^(-1))|=k , then the value of k is equal to

If x is real and k=(x^(2)-x+1)/(x^(2)+x+1), then k in[1/3,3] (b) k>=3(c)k<=1/3(d) none of these

If A and B be two complex numbers such that |1-A'B|^(2)-|A-B|^(2)=K(1-|A|^(2))(1-|B|^(2)) then the value of k is (A)1(B)2(C)(1)/(2)(D)(1)/(3)

If (x+iy)^((1)/(3))=a+ib where x,y,a,b are real numbers such that (x)/(a)-(y)/(b)=k(a^(2)+b^(2)) then the value of k is

If a+2b+3c=1 and a>0,b>0,c>0 and the greatest value of a^(3)b^(2)c is (1)/(k) then (k-5180) is