1/4
1/2
2/3
3/2
Correct answer is D
\(r=\frac{n}{n-2}\hspace{1mm}and\hspace{1mm}r=\frac{n+3}{n}\\∴\frac{n}{n-2}=\frac{n+3}{n}\\n^2 = n^2 +3n - 2n-6\\0=n-6\\∴n=6\\But\hspace{1mm}r = \frac{n}{n-2}\\r=\frac{6}{6-2}\\\frac{6}{4}=\frac{3}{2}\)
Find the value of x and y respectively if 3x - 5y + 5 = 0 and 4x - 7y + 8 = 0
-5, -4
-4,. -5
4, 5
5, 4
Correct answer is D
3x - 5y + 5 = 0 → eqn1
4x - 7y + 8 = 0 → eqn2
eqn1 * 4; 12x - 20y + 20 = 0 → eqn3
eqn2 * 3; 12x - 21y + 24 = 0 → eqn4
eqn3 - eqn4 = y - 4 = 0
∴ y = 4
From eqn1,
3x - 5y + 5 = 0
3x - 5(4) + 5 = 0
3x - 20 + 5 = 0
3x - 15 = 0
3x = 15
x = 5
x and y = 5, 4 respectively
60
30
20
15
Correct answer is B
L ∝ 1/W
L = K/W
K = WL
= 1.5 * 20
30
y = 3x - 2
y = 3x + 2
y = 3x - 4
y = 3x + 4
Correct answer is B
x\(^2\) + 4 = x\(^2\) - 3x + 2
3x + 2 = y
Find the range of the value of x satisfying the inequalities 5 + x \(\leq\) 8 and 13 + x \(\geq\) 7
-3 \(\leq\) x \(\leq\) 3
3 \(\leq\) x \(\leq\) 6
-6 \(\leq\) x \(\leq\) 3
-6 \(\leq\) x \(\leq\) -3
Correct answer is C
5 + x \(\leq\) 8 and 13 + x \(\geq\) 7
5 + x \(\leq\) 8
X \(\leq\) 8 – 5
X \(\leq\) 3
And 13 + x \(\geq\) 7
X \(\geq\) 7 – 15
X \(\geq\) -7
Combining the two together
-6 \(\leq\) x \(\leq\) 3