The square of the distance of the point of intersection of the line x1/2 = y2/3 = z+1/6 and the plane 2x – y + z = 6 from the point (–1, –1, 2) is
0
07/02/2022 12:25 pm
Topic starter
The square of the distance of the point of intersection of the line \(\frac{x1}{2}\) = \(\frac{y2}{3}\) = \(\frac{z+1}{6}\) and the plane 2x – y + z = 6 from the point (–1, –1, 2) is _________.
Answer
Add a comment
Add a comment
Topic Tags
1 Answer
0
07/02/2022 12:28 pm
\(\frac{x1}{2}\) = \(\frac{y2}{3}\) = \(\frac{z+1}{6}\) = λ
x = 2λ + 1, y = 3λ, z = 6λ  1
for point of intersection of line & plane
2(2λ + 1) – (3λ + 2) + (6λ – 1) = 6
7λ = 7 ⇒ λ = 1
point : (3, 5, 5)
(distance)^{2} = (3 + 1)^{2} + (5 + 1)^{2} + (5 – 2)^{2}
= 16 + 36 + 9 = 61
Add a comment
Add a comment
Forum Jump:
Related Topics

An electric instrument consists of two units. Each unit must function independently for the instrument to operate.
2 years ago

If (3^6/4^4)k is the term, independent of x, in the binomial expansion of
2 years ago

If x φ(x) = ∫_5^x (3t^2  2φ'(t))dt, x > 2, and φ(0) = 4, then φ(2) is ................
2 years ago

The number of six letter words (with or without meaning), formed using all the letters of the word 'VOWELS', so that all the consonants never come together, is
2 years ago

If the variable line 3x + 4y = a lies between the two circles (x – 1)^2 + (y – 1)^2 = 1 and (x – 9)^2 + (y – 1)^2 = 4, without intercepting a chord on either circle, then the sum of all the integral values of a is _________.
2 years ago
Forum Information
 321 Forums
 27.3 K Topics
 53.8 K Posts
 0 Online
 12.4 K Members
Our newest member: Stripchat
Forum Icons:
Forum contains no unread posts
Forum contains unread posts
Topic Icons:
Not Replied
Replied
Active
Hot
Sticky
Unapproved
Solved
Private
Closed