Home
Class 12
MATHS
The minimum value of the sum of real num...

The minimum value of the sum of real numbers `a^-5, a^-4, 3a^-3, 1,a^8` and `a^10` with `agt 0` is __________.

Text Solution

Verified by Experts

The correct Answer is:
8
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The minimum value of the sum of real number a^-5,a^-4,3a^-3,1,a^8 and a^10 with a > 0 is

The minimum value of the sum of real number a^(-5),a^(-4),3a^(-3),1,a^8,an d a^(10) with a >0 is

The minimum value of the sum of real number a^(-5),a^(-4),3a^(-3),1,a^8,a n da^(10)w i t ha >0 is

Let a is a real number satisfying a^3+1/(a^3)=18 . Then the value of a^4+1/(a^4)-39 is ____.

Let a is a real number satisfying a^3+1/(a^3)=18 . Then the value of a^4+1/(a^4)-39 is ____.

The minimum number of real roots of (x^(2)+3x+a)(x^(2)+ax+1)=0 equals

The value of the expression sum_(theta =0)^8 1/(1 + tan^3 (10theta)^@) equals

The sum of two non-zero numbers is 8, the minimum value of the sum of their reciprocals is 1/4 (b) 1/2 (c) 1/8 (d) none of these

If cos(x+pi/3)+cos x=a has real solutions, then number of integral values of a are 3 sum of number of integral values of a is 0 when a=1 , number of solutions for x in [0,2pi] are 3 when a=1, number of solutions for x in [0,2pi] are 2

If the mean and the variance of the numbers a, b, 8, 5 and 10 are 6 and 6.8 respectively, then the value of a^(3)+b^(3) is equal to