MATHEMATICS

JAMB 2007 - Question 44

Mathematics 2007 JAMB Past Questions - Question 44: If the lines 2y-kx+2=0 and y+x-k/2=0 intersect at (1,-2),find the value of k.

If the lines 2y-kx+2=0 and y+x-k/2=0 intersect at (1,-2),find the value of k.
A:
B:
C:
D:
Examkits App

Examkit's JAMB CBT App

Practice JAMB offline with our Online, PC and Mobile App

  • ✅ 25+ years of past questions (2000 to 2025)
  • ✅ Video solutions and explanation to questions
  • ✅ E-library
  • ✅ Study by topic
  • ✅ And more.

Correct Answer

C

Explanation

2y -kx +2 =0, @ x = 1 , y = -22(-2) -k (1) +2 = 0, -4 - k +2 = 0, k = -2Or y+x -k/2 = 0 @ x = 1, y = -2-2 +1 -k/2 = 0 , -1 = k/2 To find the value of k, we can substitute the coordinates of the point of intersection (1, -2) into the equations of the lines and solve for k.For the first equation, 2y - kx + 2 = 0, substituting x = 1 and y = -2:2(-2) - k(1) + 2 = 0-4 - k + 2 = 0-2 - k = 0k = -2For the second equation, y + x - k/2 = 0, substituting x = 1 and y = -2:-2 + 1 - k/2 = 0-1 - k/2 = 0-k/2 = 1k = -2Therefore, the value of k is -2.therefore k = -1x2=-2

Frequently Asked Questions

Examkits is a JAMB CBT practice platform that provides over 20 years of past questions, Post UTME questions, and detailed video solutions to help students prepare for their exams.

You can practice JAMB past questions online, on Android, or on a desktop using the Examkits app. Just register on our website and choose your preferred device.

Yes. Our Android and Windows versions support offline usage. Once downloaded and activated, no internet is required to use most of the features.

Yes, Examkits provides detailed video explanations for all JAMB past questions from 2000 to 2024, helping students understand how to solve each problem.

Examkits offers free practice for some subjects. However, full access requires a one-time affordable activation fee for each version of the app.