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Special Determinants

If a+b+c+d = ...

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If a+b+c+d = 1 , then the maximum value of 16 abcd is

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Q. If x+y=8, then the maximum value of xy is

(a) 8

(b) 16

(c) 20

(d) 24

a

b

c

d

are four positive real numbers such that

a b c d

=

1

, then the minimum value of

(1 + a) (1 + b) (1 + c) (1 + d)

A, B, C & D

are the angles of a cyclic quadrilateral

A B C D,

cos A + cos B + cos C + cos D + 1

Let a,b,c,d and e are positive integers such that abcde = a+b+c+d+e, then the maximum value of e is

c gayatri devi

a, b, c, d

are four positive real numbers such that

a b c d = 1

then least value of

(a + 4) (b + 4) (c + 4) (d + 4)

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