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Mathematics Grade 11 Unit 6: TRANSFORMATIONS OF THE PLANE

national exam questions have come from this unit. It runs 44 pages; one careful study pass takes about 4.3 hours, and its difficulty is moderate among Mathematics units. Each section below lists the questions set from it, with the year, and opens the page that teaches it.

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6.1 Introduction · read p. 314
Not asked in a national paper yet.
6.2 Translation · read p. 315
  • 2018 E.C., Q38 – A translation vector maps the origin (0,0) to the point (-2,4). Under this same translation, what is the image of the point (3,1)?
  • 2013 E.C., Q23 – Let T be a translation that takes the origin into (2, 3). Then which of the following is true about the translation T?
6.3 Reflection · read p. 322
  • 2017 E.C., Q25 – A line $\ell_1$ in the $x, y$-plane has equation $x - y + 3 = 0$. A second line $\ell_2$ which is perpendicular to $\ell_1$ contains the point $(2, 3)$. Which one of the following gives equation of $\ell_2$?
  • 2014 E.C., Q9 – Consider a line with equation y = mx + b. Which of the following is true?
  • 2013 E.C., Q48 – The equation of a line is given by $3x - 2y + 6 = 0$. Then which of the following is true about the line?
6.4 Rotation · read p. 337
  • 2017 E.C., Q63 – Which of the following graphs represent the graph of $f(x) = \cos x$ on the interval $[-\pi, \pi]$?
  • 2017 E.C., Q53 – If $\sin(-53^\circ) = \beta$, then which one of the following is correct?
  • 2017 E.C., Q1 – Consider the figure shown below. If $m(\angle BAE) = 50^\circ$ and $m(\angle CBD) = 80^\circ$, then $m(\widehat{BXE})$ is equal to:
  • 2014 E.C., Q17 – Which one of the following gives the polar form of the complex number \( z = 2 - 2\sqrt{3}i \)?
  • 2014 E.C., Q49 – What is the image of the circle with equation (x + 2) 2 + (y - 2) 2 = 1, when it is rotated through π/6 about the origin?
  • 2013 E.C., Q31 – Which one of the following sequences is a null sequence?
  • 2013 E.C., Q30 – Which one of the following sequences is a null sequence?
  • 2013 E.C., Q58 – Which of the following is true about the graph of $y = -4\cos\left(\frac{2x}{3}\right)$?
6.5 Applications · read p. 349
Not asked in a national paper yet.