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A (-6,-2) and B (2,-4) are the end point of a diameter of a circle.
(Solved)
A (-6,-2) and B (2,-4) are the end point of a diameter of a circle.
a)Find the co-ordinates of the centre of the circle
b)Find the equation of the circle expressing it in the form 𝑥2 + 𝑦2 + 𝑎𝑥 + 𝑏𝑦 + 𝑐 = 0, 𝑤ℎ𝑒𝑟𝑒 𝑎, 𝑏 𝑎𝑛𝑑 𝑐 𝑎𝑟𝑒 intergers.
Date posted:
May 7, 2019
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Answers (1)
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Two matrices A and B are as given below,Given that the product AB is a singular matrix, find the value of P.
(Solved)
Two matrices A and B are as given below,Given that the product AB is a singular matrix, find the value of P.

Date posted:
May 7, 2019
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Answers (1)
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Find the maximum value and correct to three decimal places of:
(Solved)
Given that 10.5 <_ x <_ 20 and 1.5 <_ y <_ 3, find the maximum value and correct to three decimal places of:

Date posted:
May 7, 2019
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Answers (1)
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a) Expand (a + b)5
(Solved)
a) Expand (a + b)5
b) Use the first three terms of the expansion in (a) to find the value of (1.97)5 to two decimal places.
Date posted:
May 7, 2019
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Answers (1)
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Without using mathematical tables or a calculator evaluate.
(Solved)
Without using mathematical tables or a calculator evaluate.

Date posted:
May 7, 2019
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Answers (1)
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In the figure below AB and Bc are chords of a circle centre O. AB=6cm, BC=16cm and OC=10cm
(Solved)
In the figure below AB and Bc are chords of a circle centre O. AB=6cm, BC=16cm and OC=10cm

Calculate angle ABC correct to three significant figures.
Date posted:
May 7, 2019
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Answers (1)
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Make n the subject of the formula given that
(Solved)
Make n the subject of the formula given that

Date posted:
May 7, 2019
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Answers (1)
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Without using mathematical tables or a calculator, evaluate.
(Solved)
Without using mathematical tables or a calculator, evaluate.

Date posted:
May 7, 2019
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Answers (1)
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a) Determine the x-intercept of the curve y = x3 - 9x
(Solved)
a) Determine the x-intercept of the curve y = x3 - 9x
b) Use the trapezium rule with 6 strips to find areas bounded by the curve and the x-axis.
c) By using integration, find the exact area bounded by the curve and the x- axis.
d) Calculate the percentage error in using trapezium rule to obtain the area.
Date posted:
May 7, 2019
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Answers (1)
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a) Give the inequalities that define the unshaded region.
(Solved)
a) Give the inequalities that define the unshaded region.

b) Find the exact area of the region.
Date posted:
May 7, 2019
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Answers (1)
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The figure below is a triangle OAB, where
(Solved)
The figure below is a triangle OAB, where ⃗𝑂⃗⃗⃗𝐴⃗ =a and ⃗𝑂⃗⃗⃗𝐵⃗ =b. A point R divides AB in the ratio 1:3 ⃗𝑂⃗⃗⃗𝑅⃗ and ⃗𝐴⃗⃗⃗𝑇⃗
intersect at D.

a) Find in terms of a and b
i) BT
ii) OR
iii) AT
b) If OD=hOR and AD=kAT, express OD in two ways hence determine the values of h and k.
Date posted:
May 7, 2019
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Answers (1)
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The intersecting circles centres S and R have radii 28 and 35 respectively. A common chord AB=38cm.
(Solved)
The intersecting circles centres S and R have radii 28 and 35 respectively. A common chord AB=38cm.

a) Calculate
i) Angle ASB
ii) Angle ARB
b) Calculate the area of the shaded region.
Date posted:
May 7, 2019
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Answers (1)
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Christians who attended a church service on Sunday were grouped by age as shown in the table below.
(Solved)
Christians who attended a church service on Sunday were grouped by age as shown in the table below.

Estimate the mean age
Date posted:
May 7, 2019
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Answers (1)
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Use logarithms tables to evaluate
(Solved)
Use logarithms tables to evaluate

Date posted:
May 7, 2019
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Answers (1)
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Solve for x; if 9x x 27x - 1 = 1
(Solved)
Solve for x; if 9x x 27x - 1 = 1
Date posted:
May 7, 2019
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Answers (1)
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Simplify the following expression completely.
(Solved)
Simplify the following expression completely.

Date posted:
May 7, 2019
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Answers (1)
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Three litres of water (density 1gm/cm3) is added to twelve litres of methanol. (Density 0.8g/cm3). What is the density of the mixture?
(Solved)
Three litres of water (density 1gm/cm3) is added to twelve litres of methanol. (Density 0.8g/cm3). What is the density of the mixture?
Date posted:
May 7, 2019
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Answers (1)
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Construct the image ??1??1??1 of the object PQR below though a rotation of -60 using centre C.
(Solved)
Construct the image 𝑃1𝑄1𝑅1 of the object PQR below though a rotation of -60 using centre C.

Date posted:
May 7, 2019
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Answers (1)
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The figure below shows the sketch of a tea farm. The measurement are in metres.Fill the information given in a field book. Take PQ as...
(Solved)
The figure below shows the sketch of a tea farm. The measurement are in metres.Fill the information given in a field book. Take PQ as the base line, 200m long.

Date posted:
May 7, 2019
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Answers (1)
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A Kenyan bank buys and sells foreign currencies as shown below.
(Solved)
A Kenyan bank buys and sells foreign currencies as shown below.

A tourist arrived in Kenya from Britain with 126,000 UK sterling pounds. He converted the pounds into Kenyan
shillings. While in Kenya he spent 4/5of the money. He changed the balance to US dollars. Calculate to the nearest Dollar,
the amount he received.
Date posted:
May 7, 2019
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Answers (1)