In a plane \overrightarrow{a} and \overrightarrow{b} are the position vectors of two points A and B respectively. A point P with position vector { {\r}}^{\to} moves on that plane in such a way that \overrightarrow{|{{r}}^{\to}-\overrightarrow{a}| }∼\overrightarrow{|{r}-\overrightarrow{b}|}=c (real constant). The locus of P is a conic section whose eccentricity is

Correct Answer is : |→a−→b|c

\overrightarrow{|{a}-\overrightarrow{b}|}/{c}

\overrightarrow{|{a}+\overrightarrow{b}|}/{c}

\overrightarrow{|{a}-\overrightarrow{b}|}/{2 c}

\overrightarrow{|{a}+\overrightarrow{b}|}/{2 c}

WBJEE 2024 Math Paper

Question : 53 of 75

Marks: +1, -0

In a plane

→

and

→

are the position vectors of two points A and B respectively. A point P with position vector

→

moves on that plane in such a way that |

→

−

→

|∼|

→

−

→

|=c (real constant). The locus of P is a conic section whose eccentricity is

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