Position vector of ponts A,B,C are a,b,c respectively which are by a=3i^+j^,b=i^+3j^,c=βi^+(1−β)j^. If distance of point C from angle bisector of OA and OB is 23 (A) 1 (B) 2 (C) 4 (D) 3

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Position vector of ponts $A, B, C$ are $a, b, c$ respectively which are by $a = 3 \hat{i} + \hat{j}$ , $b = \hat{i} + 3 \hat{j}, c = β \hat{i} + (1 - β) \hat{j}$ . If distance of point $C$ from angle bisector of $O A$ and $O B$ is $\frac{3}{2}$ (A) $1$ (B) $2$ (C) $4$ (D) $3$

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Position vector of ponts

A, B, C

are

a, b, c

respectively which are by

a = 3 \hat{i} + \hat{j}

b = \hat{i} + 3 \hat{j}, c = β \hat{i} + (1 - β) \hat{j}

. If distance of point

C

from angle bisector of

O A

and

O B

\frac{3}{2}

(A)

1

(B)

2

(C)

4

(D)

3

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Question Text

Position vector of ponts

A, B, C

are

a, b, c

respectively which are by

a = 3 \hat{i} + \hat{j}

b = \hat{i} + 3 \hat{j}, c = β \hat{i} + (1 - β) \hat{j}

. If distance of point

C

from angle bisector of

O A

and

O B

\frac{3}{2}

(A)

1

(B)

2

(C)

4

(D)

3

Position vector of ponts $A, B, C$ are $a, b, c$ respectively which are by $a = 3 \hat{i} + \hat{j}$ , $b = \hat{i} + 3 \hat{j}, c = β \hat{i} + (1 - β) \hat{j}$ . If distance of point $C$ from angle bisector of $O A$ and $O B$ is $\frac{3}{2}$ (A) $1$ (B) $2$ (C) $4$ (D) $3$

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Practice questions from similar books

Position vector of ponts A,B,C are a,b,c respectively which are by a=3​i^+j^​,b=i^+3​j^​,c=βi^+(1−β)j^​. If distance of point C from angle bisector of OA and OB is 2​3​ (A) 1 (B) 2 (C) 4 (D) 3

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Practice questions from similar books

Position vector of ponts $A, B, C$ are $a, b, c$ respectively which are by $a = 3 \hat{i} + \hat{j}$ , $b = \hat{i} + 3 \hat{j}, c = β \hat{i} + (1 - β) \hat{j}$ . If distance of point $C$ from angle bisector of $O A$ and $O B$ is $\frac{3}{2}$ (A) $1$ (B) $2$ (C) $4$ (D) $3$