In the diagram PQRS is a circle, |PT| = |QT| and ∠QPT = 70o what is the size of ∠PRS?
40o
70o
80o
140o
Correct answer is B
∠QPT = ∠QTP = 70o. Since ∠QTR = 140o
∠PRS = TSR = 1/2(180-40) = 70o
What is the equation of the curve?
\(y=x^2+6x+4\)
\(y=x^2-5x-4\)
\(y=x^2-5x+4\)
\(y=x^2+5x-4\)
Correct answer is C
The factor for the curve are (x-1)(x-4). The product off the curves gives \(=x^2-5x+4=y\)
What are the roots of the equation?
-1 and 1
4 and 1
1 and 4
4 and 4
Correct answer is C
The two points of contact of the curve with the x-axis are x = 1 and x = 4. The roots of the equation are x = 1 and x = 4
For what values of y is the expression \(\frac{6y-1}{y^2 - y-6}\)
\(\frac{1}{6}, \frac{1}{4}\)
3, -2
-3, 2
0,1
Correct answer is B
The expression is not defines when y2 - y - 6 = 0
=> y2 - 3y + 2y - 6 = 0 => (y-3)(y+2) = 0 => y
-3 = 0 or y + 2 = 0 => y = 3 or -2
\(\frac{2}{3}\)
2
4
8
Correct answer is B
T.S.A of the wall \(=2(7\times 5 + 7 \times x + 5 \times x) = 96\\
70 + 14x + 10x = 96 \Rightarrow 24x = 96-70=26\\
x = \frac{26}{24}=\frac{13}{12}\)
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