Given that P = x2 + 4x - 2, Q = 2x - 1 and Q - p = 2, find x
-2
-1
1
2
Correct answer is B
P = x2 + 4x - 2, Q = 2x - 1
Q - p = 2, (2x - 1) - (x2 + 4x - 2) = 2
2x - 1 - x2 - 4x + 2 = 2
-2x - x2 + 1
-x2 - 2x - 1 = 0
x2 + 2x + 1 = 0
x2 + x + x + 1 = 0
x(x + 1) + 1(x + 1) = 0
(x + 1)(x + 1) = 0
x + 1 = 0 or x + 1 = 0
x = -1 or x = -1
x = -1
15
12
9
6
Correct answer is B
Let the interior angle = xo
interior angle = 5xo (sum of int. angle ann exterior)
(angles = angle or straight line)
6x = 180
x = \(\frac{180}{6}\)
x = 30o
no. of sides = \(\frac{\text{sum of exterior angles}}{\text{exterior angle}}\)
= \(\frac{360}{30}\) = 12
Express \(\frac{2}{x + 3} - \frac{1}{x - 2}\) as a simple fraction
\(\frac{x - 7}{x^2 + x - 6}\)
\(\frac{x - 1}{x^2 + x - 6}\)
\(\frac{x - 2}{x^2 + x - 6}\)
\(\frac{x - 27}{x^2 + x - 6}\)
Correct answer is A
\(\frac{2}{x + 3} - \frac{1}{x - 2}\) = \(\frac{2(x - 2) - (x - 3)}{(x + 3) (x - 2)}\)
= \(\frac{2x - 4 - x - 3}{x^2 - 2x + 3x - 6}\)
= \(\frac{x -7}{x^2 + x - 6}\)
= \(\frac{x - 7}{x^2 + x - 6}\)
11
\(\frac{15}{2}\)
5
\(\frac{5}{2}\)
Correct answer is C
Let the number be y, subtract y from 2 i.e 2 - y
2 - y = 4 < \(\frac{1}{5}\) y,
2 - y = \(\frac{y}{5}\) - 4
2 - y + 4 = \(\frac{y}{5}\)
6 = \(\frac{y}{5}\) + y
6 = \(\frac{y + 5y}{5}\)
6 = \(\frac{6y}{5}\)
multiplying through by 5
6 * 5 = 6y
\(\frac{30}{6}\) = y
= 5
the bisector of the straight line joining P and M
an arc of a circle with PM as a chord
the bisector of angle PXM
a circle centre X and radius PM
Correct answer is B
No explanation has been provided for this answer.