If x² - y² + 2hxy + 2gx + 2fy + c = 0 is the locus of a point tha… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 30 January, Shift 2Straight Line Equations

If $x^2 - y^2 + 2hxy + 2gx + 2fy + c = 0$ is the locus of a point that moves such that it is always equidistant from the lines $x + 2y + 7 = 0$ and $2x - y + 8 = 0$ , then the value of $g + c + h - f$ equals:

A
$14$
B
$6$
C
$8$
D
$29$

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