EduFarming
Your list · 0हिं

Type at least two letters. Press Esc to close.

↑↓ navigate↵ openTAB cycle filter

Three-Dimensional Geometry · Question 68 of 120

Question 68

MediumOriginal question

For which kk are the lines x−32=y+1k=z−1\frac{x - 3}{2} = \frac{y + 1}{k} = \frac{z}{-1} and x+13=y2=z−24\frac{x + 1}{3} = \frac{y}{2} = \frac{z - 2}{4} perpendicular?

Options for question 68

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Direction ratios 2,k,−12, k, -1 and 3,2,43, 2, 4: 6+2k−4=06 + 2k - 4 = 0.

  2. 2k=−22k = -2, so k=−1k = -1.

Worth noting

−5-5 takes (−1)(4)(-1)(4) as +4+4.

Concept
Perpendicular lines
Typical time
90 s
Your time
—
The rule this testsThe angle between two lines
Practise this chapter →

Ten questions from Three-Dimensional Geometry, at your own pace.

Practise this chapter →

Ten questions from Three-Dimensional Geometry, at your own pace.