Latest TCS Aptitude Question SOLUTION: 1. What is the distance between the z – intercept from the x – intercept in the equation ax + by + cz + d = 0

• Placement Papers
• /
• TCS

TCS Question Papers: TCS Interview Experience(90) TCS Company Profile

(#M40007711) TCS question TCS68PATTERN Keep an EYE

1. What is the distance between the z – intercept from the x – intercept in the equation ax + by + cz + d = 0

Asked In TCS venkatesh (12 years ago)

Unsolved Read Solution (1)

Is this Puzzle helpful?   (1)   (1) Submit Your Solution

Read Solution (1) :

Vignesh  (12 years ago)

d sqrt(1/a^2 + 1/c^2)
Expln:
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 (d^2/a^2 + d^2/c^2)
= d sqrt(1/a^2 + 1/c^2)

Is this solution Helpfull? Yes (3) | No (1)  

Please Login to Read Solution.