Latest TCS Aptitude Question SOLUTION: distance of the z intercept from the x intercept in ax+by+cz+d=0?

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distance of the z intercept from the x intercept in ax+by+cz+d=0?

Asked In TCS NABA KUMAR BHOI (12 years ago)

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Robin Raj  (12 years ago)

ax + by + cz + d = 0

At the z-intercept, 'x' and 'y' are both zero.

cz + d = 0 --> z = -d/c --> The z-intercept is the point (0, 0, -d/c).

At the x-intercept, 'y' and 'z' are zero.

ax + d = 0 --> x = -d/a --> The x-intercept is the point (-d/a, 0, 0).

The distance between the points (0, 0, -d/c) and (-d/a, 0, 0) is

sqrt[ (-d/a)2 + (-d/c)2 ] = sqrt (d2/a2 + d2/c2) = d sqrt(1/a2 + 1/c2)

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