If a,b,c are the sides of a Δ ABC such that x²-2(a+b+c)x +3Κ(ab+bc+ac)=0 has real roots then,

a) K <4/3

b) K>5/3

c) K ε ( 4/3,5/3)

Question

If a,b,c are the sides of a &Delta; ABC such that x 2 -2(a+b+c)x +3&Kappa;(ab+bc+ac)=0 has real roots then, a) K <4/3 b) K>5/3 c) K &epsilon; ( 4/3,5/3)

saket shrivastava · Answer

the ans is k<2/3

let a=b=c

option a==> let k=1 (<4/3),, the d=B²-4AC<0 not real

option b ===> let k=2 (>5/3) again d<0

option c ====> let k= 3/2 (={4/3+5/3}/2) again d<0

check options pls and approve

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If a,b,c are the sides of a Δ ABC such that x 2 -2(a+b+c)x +3Κ(ab+bc+ac)=0 has real roots then, a) K b) K>5/3 c) K ε ( 4/3,5/3)

If a,b,c are the sides of a Δ ABC such that x²-2(a+b+c)x +3Κ(ab+bc+ac)=0 has real roots then,

a) K <4/3

b) K>5/3

c) K ε ( 4/3,5/3)

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If a,b,c are the sides of a Δ ABC such that x 2 -2(a+b+c)x +3Κ(ab+bc+ac)=0 has real roots then, a) K b) K>5/3 c) K ε ( 4/3,5/3)

If a,b,c are the sides of a Δ ABC such that x2-2(a+b+c)x +3Κ(ab+bc+ac)=0 has real roots then, a) K <4/3 b) K>5/3 c) K ε ( 4/3,5/3)

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If a,b,c are the sides of a Δ ABC such that x²-2(a+b+c)x +3Κ(ab+bc+ac)=0 has real roots then,

a) K <4/3

b) K>5/3

c) K ε ( 4/3,5/3)