Mathematics Past Questions And Answers
P and Q are two linear transformations in the X-Y plane defined by
P: (x, y) → (-3x + 6y, 4x + y) and
Q: (x, y) → (2x-3y, -4x - 6y).
(a) Write down the matrices of P and Q. (b) What is the image of (-2,-3) under the transformation Q?
(c) Obtain a single transformation representing the transformation Q followed by P.
(d) Find the image of (1,4) when transformed by Q followed by P.
(e) Find the image P\(^1\) of the point (-√2,2√2) under an anticlockwise rotation of 225° about the origin.
View Discussion (0)WAEC 2021 THEORYFind the sum to infinity of the following sequence \(1, \frac{9}{10}, (\frac{9}{10})^{2}, (\frac{9}{10})^{3}\)
- A. \(\frac{1}{10}\)
- B. \(\frac{9}{10}\)
- C. \(\frac{10}{9}\)
- D. 10
In a recent zonal championship games involving 10 teams, teams X and Y were given probabilities 2/5 and 1/3 respectively of winning the gold in the football event. What is the probability that either team will win the gold?
- A. 2/15
- B. 7/15
- C. 11/15
- D. 13/15
What number whose ½ is multiplied by ⅓ of the same number will give a product of 726?
- A. 96
- B. 166
- C. 160
- D. 66
Find correct to the nearest degree,5 the angle between p = 12i - 5j and q = 4i +3j
- A. 59°
- B. 60°
- C. 75°
- D. 76°
Find the median of 4, 1, 4, 1, 0, 4, 4, 2 and 0
- A. zero
- B. 1
- C. 2
- D. 4
Simplify \(\frac{1}{1 + \sqrt{5}}\) - \(\frac{1}{1 - \sqrt{5}}\)
- A. - \(\frac{1}{2}\sqrt{5}\)
- B. \(\frac{1}{2}\sqrt{5}\)
- C. -- \(\frac{1}{4}\sqrt{5}\)
- D. 5
A man sells his new brand car for N420,000 at a gain of 15%. What did it cost him?
- A. N410,000
- B. N365, 217
- C. N157, 250
- D. N257,000
A hunter 1.6 m tall, views a bird on top of a tree at an angle of 45°. if the distance between the hunter and the tree is 10.4 m, find the height of the tree.
- A. 9.0 m
- B. 12. 0 m
- C. 8.8 m
- D. 10.4 m
Given m = N\(\sqrt{\frac{SL}{T}}\) make T the subject of the formula
- A. \(\frac{\text{NSL}}{M}\)
- B. \(\frac{N^2SL}{M^2}\)
- C. \(\frac{N^2SL}{M}\)
- D. \(\frac{NSL}{M^2}\)