WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
JAMB 2024 Whatsapp Group - Join us here

Find the tangent to the acute angle between the lines 2x + y = 3...

Mathematics
JAMB 1999

Find the tangent to the acute angle between the lines 2x + y = 3 and 3x - 2y = 5.

  • A. -7/4
  • B. 7/8
  • C. 7/4
  • D. 7/2
JAMB CBT 2024 - Candidates, Schools, Centres, Resellers - Get Ready!
JAMB CBT Mobile App 2024 - Free Download
JAMB CBT Software 2024 - Free Download
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
JAMB 2024 Whatsapp Group - Join us here
Correct Answer: Option C
Explanation

Let \(\phi\) be the angle between the two lines.

tan \(\phi\) = \(\frac{m_1 - m_2}{1 + m_1 m_2}\)

where m\(_1\) = slope of line 1; m\(_2\) = slope of line 2.

Line 1: 2x + y = 3 \(\implies\) y = 3 - 2x.

Line 2: 3x - 2y = 5 \(\implies\) -2y = 5 - 3x.

y = \(\frac{3}{2}\)x - \(\frac{5}{2}\).

m\(_1\) = -2, m\(_2\) = \(\frac{3}{2}\).

tan \(\phi\) = \(\frac{-2 - \frac{3}{2}}{1 + (-2 \times \frac{3}{2})}\)

= \(\frac{\frac{-7}{2}}{-2}\)

\(\therefore\) Tan \(\phi\) = \(\frac{7}{4}\).


Report an Error Ask A Question Download App
JAMB CBT Mobile App 2024 - Free Download
JAMB CBT Software 2024 - Free Download
JAMB CBT 2024 - Candidates, Schools, Centres, Resellers - Get Ready!
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
JAMB 2024 Whatsapp Group - Join us here

Contributions ({{ comment_count }})

Please wait...

{{ settings.no_comment_msg ? settings.no_comment_msg : 'There are no comments' }}

Quick Questions

Post your Contribution

Please don't post or ask to join a "Group" or "Whatsapp Group" as a comment. It will be deleted. To join or start a group, please click here

{{ quote.posted_by.display_name }}
{{ settings.form_textarea_description }}
 
JAMB CBT Mobile App 2024 - Free Download
JAMB CBT Software 2024 - Free Download
JAMB 2024 Whatsapp Group - Join us here
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
JAMB CBT 2024 - Candidates, Schools, Centres, Resellers - Get Ready!
JAMB CBT Software 2024 - Free Download
JAMB CBT Mobile App 2024 - Free Download
JAMB 2024 Whatsapp Group - Join us here
JAMB CBT 2024 - Candidates, Schools, Centres, Resellers - Get Ready!