Latest Wipro Aptitude Question SOLUTION: what is the distance between z and x intersect in ax+by+cz=d

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what is the distance between z and x intersect in ax+by+cz=d

Asked In Wipro Shruti Ghosh (12 years ago)

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rajasekhar reddy  (12 years ago)

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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arjun  (12 years ago)

D/C-A/C

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IQBAL MEHDI  (12 years ago)

x-intersect=A(d/a,0,0)
z-intersect=C(0,0,d/c)
hence,AC=root{(d/a-0)2+(0-0)2+(0-d/c)2}=root(d2/a2+d2/c2)ans.
where a2=a*a,d2=d*d,and so on.

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Pargat Pal Singh  (12 years ago)

distance between z and x intersect in ax+by+cz=d
will be
(d/ac)*sq root ( c^2 - a^2)

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