# 2019 TJC P1 Q1

## Timothy Gan

This is Tim. Tim loves to teach math. Tim seeks to improve his teaching incessantly! Help Tim by telling him how he can do better.
##### 2019 TJC P1 Q1

The diagram below shows a shape which is symmetrical about the $x$- and $y$-axes. The shape is made up of four curves, $A,\,B,\,C$ and $D.$

The curve $A$ has equation $\sqrt{x}+\sqrt{y}=1$ for $0\le x\le 1$ and $0\le y\le 1.$

(i)

State the equations and the range of values of $x$ and $y$ curves $B$ and $C.$

[3]

(ii)

The curves $A$ and $B$ are scaled by a factor $\frac{1}{2}$ parallel to the $x$-axis and the curves $C$ and $D$ are scaled by a factor $2$ parallel to the $y$-axis. Sketch the resulting shape.

[2]

## Students Only

Our H2 Math Tuition includes

• Question Bank with Video solutions to 1400+ questions
• Online Portal
• H2 Math Summary Notes
• Structured Curriculum and Notes
Free Stuff
Pure Math
Statistics

## Students Only

Our H2 Math Tuition includes

• Question Bank with Video solutions to 1400+ questions
• Online Portal
• H2 Math Summary Notes
• Structured Curriculum and Notes
Free Stuff
Pure Math
Statistics