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In Delta ABC, which of the following is ...

In `Delta ABC`, which of the following is not true ?

A

`vec(AB)+vec(BC)+vec(CA)=vec(0)`

B

`vec(AB)+vec(BC)-vec(AC)=vec(0)`

C

`vec(AB)+vec(BC)-vec(CA)=vec(0)`

D

`vec(AB)-vec(CB)+vec(CA)=vec(0)`

Text Solution

Verified by Experts

The correct Answer is:
C
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In triangle ABC (Figure), which of the following is not true: (A) -> A B+ -> B C+ -> C A= ->0 (B) -> A B+ -> B C- -> A C= ->0 (C) -> A B+ -> B C- -> C A= ->0 (D) -> A B- -> C B+ -> C A= ->0

For triangle ABC , which of the following is incorrect ?

Knowledge Check

  • In triangle ABC, which of the following is not true :

    A
    `vec(AB)+vec(BC)+vec(CA)=vec(0)`
    B
    `vec(AB)+vec(BC)-vec(AC)=vec(0)`
    C
    `vec(AB)+vec(BC)-vec(CA)=vec(0)`
    D
    `vec(AB)-vec(CB)+vec(CA)=vec(0)`

  • In Delta ABC, which of the followinhg statemnts are ture

    A
    maximum valur of `sin 2A +sin 2B+ sin 2C` is same as the maximum valur of `sin A +sin B+sin C`
    B
    `R ge2r,` where R is circumradius and r is inradius
    C
    `R^(2)ge (abc)/((a+b+c))`
    D
    `DeltaABC` is right angled if `r+2R,=s,` where s is semiperimter

  • If Delta ABC~Delta EDF and Delta ABC is not similar to Delta DEF then which of the following is not ture ?

    A
    `BC*EF=AC*FD`
    B
    `AB*EF=AC*DE`
    C
    `BC*DE=AB*EF`
    D
    `BC*DE=AB*FD`

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    Which of the following is true in a triangle ABC

    If for Delta ABC and Delta DEF , the correspondence CAB harr EDF gives a congruence then which of the following is not true ?

    In Delta DEF and Delta PQR , it is given that angle D=angle Q and angle R= angleE , then which of the following is not true?

    If AB, BC and AC be the three sides of a triangle ABC, then which one of the following is true?

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