It is a semi circle with ST as diameter
It is a perpendicular bisector of St
It is a quadrant of a circle with ST as diameter
It is a straight line perpendicular to ST
Correct answer is A
No explanation has been provided for this answer.
The volume of a hemispherical bowl is \(718\frac{2}{3}\). Find its radius .
4.0 cm
5.6 cm
7.0 cm
3.8 cm
Correct answer is C
Volume of bowl \(\frac{2}{3}\pi r^2\\
718\frac{2}{3}=\frac{2}{3}\pi r^2\\
\frac{2156}{3}=\frac{2}{3} \times \frac{22}{7} \times r^3
∴r^3 = \frac{2156 \times 3 \times 7}{3 \times 2 \times 22}\\
r^3 = 343\\
r = \sqrt[3]{343}\\
r= 7.0cm\)
If the lines 3y = 4x - 1 and qy = x + 3 are parallel to each other, the value of q is
-4/3
-3/4
4/3
3/4
Correct answer is D
If the line 3y = 4x – 1 is parallel t[ line qy = x + 3
Implies gradient of 3y = 4x – 1
Y = 4/3x - 1/3
∴Gradient = 4/3
Gradient of line qy = x + 3
Y = 1/qx + 3/q
∴ Gradient = 1/q
4/3 = 1/q
4q = 3
Q = 3/4
7π/2 cm
7π cm
14π cm
7π/4 cm
Correct answer is A
Length of an arc = θ/360 x 2πr
90/360 x 2 x π x 7
= 7π/2
If X = {all the perfect squares less than 40}
Y = {all the odd numbers fro, 1 to 15}. Find X ∩ Y.
{3, 9}
{9}
{9, 25}
{1, 9}
Correct answer is D
All the perfect squares < 40
X = {1, 4, 9, 16, 25, 36}
All the odd numbers from 1 to 15
Y = {1, 3, 5, 7, 9, 11, 13, 15}
X ∩ Y = {1, 9}