- In the triangle OAB below, OA = a, OB = b and OC = 3/2OA. M divided OB in the ratio 3:2.(Solved)
In the triangle OAB below, OA = a, OB = b and OC = 3/2OA. M divided OB in the ratio 3:2.
a) Express in terms of a and b only, the vectors
i) BA
ii) MC
b) Given further that MN = hMC and BN = kBA, express vector MN in two different ways and hence, find the value of h and k.
c) Show that the points M, N and C are collinear.
Date posted: May 3, 2019. Answers (1)
- Find the exact area of the shaded region.(Solved)
Find the exact area of the shaded region.
Date posted: May 3, 2019. Answers (1)
- The eleventh term of an A.P is four times the second term. If the sum of the first seven terms of the A.P is 175
find...(Solved)
The eleventh term of an A.P is four times the second term. If the sum of the first seven terms of the A.P is 175
find the first term and the common difference.
Date posted: May 3, 2019. Answers (1)
- A quantity y varies partly as x and partly as the inverse of the square of x. If x = 2 when y = 4...(Solved)
A quantity y varies partly as x and partly as the inverse of the square of x. If x = 2 when y = 4 and x = 4
when y = 6.25 find the equation connecting x and y.
Date posted: May 3, 2019. Answers (1)
- Expand (2 + 1/4x)6 up to the term containing x4. Hence evaluate (1.975)6 to 5 d.p.(Solved)
Expand (2 + 1/4x)6 up to the term containing x4. Hence evaluate (1.975)6 to 5 d.p.
Date posted: May 3, 2019. Answers (1)
- Find the values of a and b where and b are rational numbers.Given that
(Solved)
Find the values of a and b where and b are rational numbers.Given that
Date posted: May 3, 2019. Answers (1)
- Solve for x in the equation(Solved)
Solve for x in the equation
6Sin2x - Cos x - 5 = 0 for 0 ≤ x ≤ 3600.
Date posted: May 3, 2019. Answers (1)
- Ketepa tea worth ksh. 40 per kg is mixed with Sasini tea worth sh. 60 per kg in the ratio 3:1. In what ratio should...(Solved)
Ketepa tea worth ksh. 40 per kg is mixed with Sasini tea worth sh. 60 per kg in the ratio 3:1. In what ratio should this
mixture be mixed with Kericho tea worth sh. 50 per kg to produce a mixture worth sh. 47 per kg.
Date posted: May 3, 2019. Answers (1)
- Find the equation of the tangent at the point (3, 1) to the curve.
y = x2 - 4x + 4(Solved)
Find the equation of the tangent at the point (3, 1) to the curve.
y = x2 - 4x + 4
Date posted: May 3, 2019. Answers (1)
- Find the radius and co-ordinates of the centre of a circle whose equation is(Solved)
Find the radius and co-ordinates of the centre of a circle whose equation is
Date posted: May 3, 2019. Answers (1)
- Solve for x in the equation.(Solved)
Solve for x in the equation.
22x-1 +4x+1 =264
Date posted: May 3, 2019. Answers (1)
- Two taps A and B together, can fill water in a tank in 6 minutes. Tap A alone takes 5 minutes longer to fill the...(Solved)
Two taps A and B together, can fill water in a tank in 6 minutes. Tap A alone takes 5 minutes longer to fill the tank than
the tap B alone. How many minutes does it take tap B alone to fill the tank.
Date posted: May 3, 2019. Answers (1)
- Make p the subject of the formula;(Solved)
Make p the subject of the formula;
Date posted: May 3, 2019. Answers (1)
- The position vectors of A and B are a = 2i - 3j + 4k and b = -2i - j + 2k respectively. Find...(Solved)
The position vectors of A and B are a = 2i - 3j + 4k and b = -2i - j + 2k respectively. Find to 2d.p the length of vector AB.
Date posted: May 3, 2019. Answers (1)
- Rono invested a sum of money, sh p at 24% p.a simple interest for 8 years and realised that he got the same amount as
Wekesa...(Solved)
Rono invested a sum of money, sh p at 24% p.a simple interest for 8 years and realised that he got the same amount as
Wekesa who invested sh. 2p for 4 years at compound interest. Calculate the rate of interest p.a
Wekesa enjoyed.
Date posted: May 3, 2019. Answers (1)
- Use logarithms correct to 4 significant figures to evaluate.(Solved)
Use logarithms correct to 4 significant figures to evaluate.
Date posted: May 3, 2019. Answers (1)
- A particle starts from rest and moves with an acceleration, a, given by a = (10 - t)m/s2. Given that velocity, Vm/s is
2m/s; when time;...(Solved)
A particle starts from rest and moves with an acceleration, a, given by a = (10 - t)m/s2. Given that velocity, Vm/s is
2m/s; when time; t seconds is 1 sec.
a) Express in terms of t;
i) Its velocity after t seconds.
ii) Its displacement after t seconds.
b) Calculate its velocity when t = 3 seconds
c) Calculate the maximum velocity attained.
Date posted: May 3, 2019. Answers (1)
- A bus travels from Murang’a to Meru a distance of 320km at a speed of x km/h. If the speed is reduced by 20km/h the
bus...(Solved)
A bus travels from Murang’a to Meru a distance of 320km at a speed of x km/h. If the speed is reduced by 20km/h the
bus would take 48 minutes more.
a) Form an equation to represent the given information and simplify it.
b) Find the speed of the bus.
c) Determine the time taken by the bus for the whole journey.
d) Another car is moving from Meru to Murang’a at a speed of 80km/h. Determine their relative speed.
Date posted: May 3, 2019. Answers (1)
- The table below shows measurements, in metres made by surveyor in his field book.(Solved)
The table below shows measurements, in metres made by surveyor in his field book.
i) Using an appropriate scale draw the region.
ii) Find the area in hectares of the filed.
Date posted: May 3, 2019. Answers (1)
- The diagram below is a right pyramid on a rectangular base.(Solved)
The diagram below is a right pyramid on a rectangular base.
Given that the volume of the solid is 280m3 and its base area is 60cm2 and that AB : BC = 3 : 5, determine
i) The height of the pyramid.
ii) The length and width of the base.
iii) The slant edge of the pyramid.
Date posted: May 3, 2019. Answers (1)