Home
Class 11
MATHS
If a,b,c,d,e are +ve real number such th...

If a,b,c,d,e are +ve real number such that ` a+b+ c+ d+e= 8 ` and `a^(2) + b^(2) + c^(2) + d^(2) + e^(2) ` = 16 then the range of 'e' is

A

`[0, 16/5]`

B

`[1, 5/3]`

C

`(0, 5/16]`

D

`[-1, 1]`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If a,b,c are real numbers such that (3a+2b)/(c+d) + ( 3)/( 2) = 0 then the equation ax^(3) + bx^(2) + cx + d = 0 has

If a, b, c, d, e, f are in A.P then e-c=

If int x^(2)e^(2x)dx=e^(x)(Ax^(2)+Bx+C)+c then the ascending order of A,B,C is

The number of distinct terms in (a + b+ c + d + e)^3 is

If e and e_1 are the eccentricities of the hyperbola xy=c^(2) ,x^(2) -y^(2) =c^(2) "then" e^(2) +e_1^(2) is equal to

If (a+ib)(c+id)(e+if)(g+ih) = A + iB , then show that (a^(2) + b^(2))(c^(2) + d^(2))(e^(2) + f^(2)) (g^(2) + h^(2)) = A^(2) + B^(2)

If int e^(2x) .x^(3) dx = (e^(2x))/(16) [ ax^(3) + bx^(2) + cx + d] + K then (a, b, c,d ) =

If (x ^(2) -1) is a factor of ax ^(4) + bx ^(3) + cx ^(2) + dx +e, then show that a + c +e =b +d=0

If a, b, c are in G.P then prove that equations ax^(2) + 2bx + c =0 and dx^(2) + 2ex +f=0 have a common root if (d)/(a), (e)/(b), (f)/(c) are in A.P.

If int x^(3) e^(-x) " dx = " - e^(-x) [ ax^(3) + bx^(2) + cx + d] K then (a, b,c,d) =