Jamb Mathematics Past Questions For Year 1992
Question 26
What is the perpendicular distance of a point (2, 3) from the line 2x - 4y + 3 = 0?
- A. \(\frac{\sqrt{5}}{2}\)
- B. \(\frac{\sqrt{5}}{20}\)
- C. \(\frac{5}{\sqrt{13}}\)
- D. 6
Question 27
find then equation line through (5, 7) parallel to the line 7x + 5y = 12
- A. 5x + 7y = 120
- B. 7x + 5y = 70
- C. x + y = 7
- D. 15x + 17y = 90
Question 28
Given that \(\theta\) is an acute angle and sin \(\theta\) = \(\frac{m}{n}\), find cos \(\theta\)
- A. \(\frac{\sqrt{n^2 - m^2}}{m}\)
- B. \(\frac{\sqrt{(n + m)(n - m)}}{n}\)
- C. \(\frac{m}{\sqrt{n^2 - m^2}}\)
- D. \(\sqrt{\frac{n}{n^2 - m^2}}\)
Question 29
Evaluate \(\lim \limits_{x \to 2} \frac{(x - 2)(x^2 + 3x - 2)}{x^2 - 4}\)
- A. 7
- B. 2
- C. 3
- D. 4
Question 30
If y = x sin x, Find \(\frac{d^2 y}{d^2 x}\)
- A. 2 cosx - x sinx
- B. sinx + x cosx
- C. sinx - x cosx
- D. x sinx - 2 cosx
