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Straight Lines and Pair of Straight Lines question

2003 · Shift 0 · Q112

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JEE Main
Mathematics
Straight Lines and Pair of Straight Lines
2003 · Shift 0 · Q112

Straight Lines and Pair of Straight Lines question

2003 · Shift 0 · Q112

JEE MainMathematicsStraight Lines and Pair of Straight LinesMCQ+4 / −1

If the equation of the locus of a point equidistant from the point

\left( {{a_{1,}}{b_1}} \right)

and

\left( {{a_{2,}}{b_2}} \right)

is

\left( {{a_1} - {a_2}} \right)x + \left( {{b_1} - {b_2}} \right)y + c = 0

, then the value of

'c'

is :

A
$\sqrt {{a_1}^2 + {b_1}^2 - {a_2}^2 - {b_2}^2}$
B
${1 \over 2}\left( {{a_2}^2 + {b_2}^2 - {a_1}^2 - {b_1}^2} \right)$
C
${{a_1}^2 - {a_2}^2 + {b_1}^2 - {b_2}^2}$
D
${1 \over 2}\left( {{a_1}^2 + {a_2}^2 + {b_1}^2 + {b_2}^2} \right)$ .

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