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=x2+6x+4
y=x2−5x−4
y=x2−5x+4
y=x2+5x−4
Correct answer is C
The factor for the curve are (x-1)(x-4). The product off the curves gives =x2−5x+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 6y−1y2−y−6
16,14
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
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