tmua 2022 Q11

tmua · Uk · paper2 1 marks Circles Inscribed/Circumscribed Circle Computations

The diagram shows a kite $P Q R S$ whose diagonals meet at $O$.
$$\begin{aligned} & O P = x \\ & O Q = y \\ & O R = x \\ & O S = z \end{aligned}$$
Which of the following is necessary and sufficient for angle $S P Q$ to be a right angle?
A $x = y = z$
B $2 x = y + z$
C $\quad x ^ { 2 } = y z$
D $y = z$
E $y ^ { 2 } = x ^ { 2 } + z ^ { 2 }$

..... 13

The diagram shows a kite $P Q R S$ whose diagonals meet at $O$.

$$\begin{aligned}
& O P = x \\
& O Q = y \\
& O R = x \\
& O S = z
\end{aligned}$$

Which of the following is necessary and sufficient for angle $S P Q$ to be a right angle?\\
A $x = y = z$\\
B $2 x = y + z$\\
C $\quad x ^ { 2 } = y z$\\
D $y = z$\\
E $y ^ { 2 } = x ^ { 2 } + z ^ { 2 }$

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20