Construct rectangle ABCD in which AB = 4cm and BC = 3cm. Inside the rectangle construct the locus of point L₁ which is 3 cm...

      

Construct rectangle ABCD in which AB = 4cm and BC = 3cm. Inside the rectangle construct the locus of point L₁ which is 3 cm from A; Locus of L₂ which is equidistant from line AB and AD and locus of point L₃ which is 2cm from line AB.

  

Answers

---

---

Kavungya answered the question on November 5, 2019 at 07:54

Next: The dimensions of a rectangle are measured and given as 6.9 cm by 3.06 cm, Calculate to 4 s.f. the percentage error in the area.
Previous: The distance s metres of an object varies partly with time t seconds and partly with square root of time. Given that s = 16...

View More Mathematics Questions and Answers | Return to Questions Index

Exams With Marking Schemes

• Grade 1
• Grade 2
• Grade 3
• Grade 4
• Grade 5
• Grade 6
• Grade 7
• Grade 8
• Grade 9
• PP1
• PP2
• Playgroup
• Form 1
• Form 2
• Form 3
• Form 4

Related Questions

---

• The dimensions of a rectangle are measured and given as 6.9 cm by 3.06 cm, Calculate to 4 s.f. the percentage error in the area.(Solved)
  

  The dimensions of a rectangle are measured and given as 6.9 cm by 3.06 cm,
  Calculate to 4 s.f. the percentage error in the area.

  Date posted: November 5, 2019.  Answers (1)

• The equation of a curve is given as y = x³ – 3x + 2. Determine a) the value of y when x = 2 b) the...(Solved)
  

  The equation of a curve is given as y = x³ – 3x + 2.
  Determine
  a) the value of y when x = 2
  b) the gradient of the curve at x = 3.
  c) the turning points of the curve and their nature.

  Date posted: November 5, 2019.  Answers (1)

• The table below gives some of the values of x and y for the function y = 1/2x² + 2x + 1 in the interval...(Solved)
  

  The table below gives some of the values of x and y for the function y = 1/2x² + 2x + 1 in the interval 0 ≤ x ≤ 6
  
  a) Use the values in the table to draw the graph of the function on the grid provided.
  b) i) Using the graph and the mid-ordinate rule with six (6) strips, estimate the area bounded by the
  curve, the x – axis, the y- axis and the line x = 6.
  ii) If the exact area of the region described in (b) (i) is 78cm²; calculate the percentage error
  made when the mid-ordinate rule is used.

  Date posted: November 5, 2019.  Answers (1)

• a) Given that the matrix find A^-1, the inverse of A. b) Kariuki bought 400 goats and 600 sheep for a total of Kshs 1.7m....(Solved)
  

  a) Given that the matrix find A^-1, the inverse of A.
  b) Kariuki bought 400 goats and 600 sheep for a total of Kshs 1.7m. Maina bought 180 goats and 240 sheep for a total of Kshs 720,000. If the price of a goat is sh. X and that of a sheep is shs y,
  i) Form two equations to represent the above information.
  ii) Use the matrix A^-1 to find the price of one goat and one sheep.
  c) John bought 450 goats and 720 sheep. He was given a total discount of shs 66,600.

  Date posted: November 5, 2019.  Answers (1)

• In the figure below OA = a, OB = b, OA : AE = 2 : 3 and OB : OC = 1 : 2 a)...(Solved)
  

  In the figure below OA = a, OB = b, OA : AE = 2 : 3 and OB : OC = 1 : 2
  
  a) Express AC and BE in terms of a and b
  i) AC
  ii) BE
  b) If DC = kAC and BD = mBE where k and m are scalars.
  By expressing DC in two ways, determine the values of k and m.
  c) Find the ratio of BD : DE

  Date posted: November 5, 2019.  Answers (1)

• A house is to be sold either on a cash basis or through a loan. The cash price is Kshs. 750,000. The loan conditions are...(Solved)
  

  A house is to be sold either on a cash basis or through a loan. The cash price is Kshs. 750,000. The loan conditions are as follows: there is to be a down payment of 10% of the cash price and the rest of the money to be paid through a loan of 10% per annum compound interest.
  A customer decided to buy the house through a loan.
  a) i) Calculate the amount of money loaned to the customer.
  ii) The customer paid the loan in 3 years.
  Calculate the total amount paid for the house.
  b) Find how long the customer would have taken to fully pay for the house if she paid a total of Kshs 891,750.

  Date posted: November 5, 2019.  Answers (1)

• A cylindrical water tank is of diameter 7 metres and height 2.8 metres. a) Find the capacity of the water tank in litres. b) Six members...(Solved)
  

  A cylindrical water tank is of diameter 7 metres and height 2.8 metres.
  a) Find the capacity of the water tank in litres.
  b) Six members of a family use 15 litres each per day. Each day 80 litres are used for cooking and washing and a further 60 litres are wasted.
  Find the number of complete days a full tank of water would last the family.
  c) members of the family were absent for 90 days. During the 90 days, wastage was reduced by 20% but cooking and washing remained the same. Calculate the number of days a full tank would now last the family.

  Date posted: November 5, 2019.  Answers (1)

• Divide line AB such that AP = 2/5 AB(Solved)
  

  Divide line AB such that AP = 2/5 AB
  

  Date posted: November 5, 2019.  Answers (1)

• Use the matrix method to find the co-ordinates of the points of intersection of the line 3x - 4y = 1 and y + 7x =...(Solved)
  

  Use the matrix method to find the co-ordinates of the points of intersection of the line
  3x - 4y = 1 and y + 7x = 23

  Date posted: November 5, 2019.  Answers (1)

• In the figure below the lines AB and CD are parallel. AD and CB intersect at X. AB = 6cm, CD = 9cm and DX...(Solved)
  

  In the figure below the lines AB and CD are parallel. AD and CB intersect at X. AB = 6cm, CD = 9cm and DX = 3 cm.
  
  a) Calculate the length of AX.
  b) The area of ΔABX is 6cm². Calculate the area of ΔCXD.

  Date posted: November 5, 2019.  Answers (1)

• Without using a calculator evaluate(Solved)
  

  Without using a calculator evaluate
  

  Date posted: November 5, 2019.  Answers (1)

• A line L is perpendicular to the line Given that L passes through (3, 10). Find the a) Gradient of L b) Equation of L in...(Solved)
  

  A line L is perpendicular to the line Given that L passes through (3, 10).
  Find the
  a) Gradient of L
  b) Equation of L in form of y = mx + c where m and c are constants.

  Date posted: November 5, 2019.  Answers (1)

• Find the value of(Solved)
  

  Find the value of
  

  Date posted: November 5, 2019.  Answers (1)

• Simplify the expression(Solved)
  

  Simplify the expression
  

  Date posted: November 5, 2019.  Answers (1)

• Find all the integers satisfying the inequalities. 3 - 2x < x - 3 = 4(Solved)
  

  Find all the integers satisfying the inequalities.
  3 - 2x < x - 3 ≤ 4

  Date posted: November 5, 2019.  Answers (1)

• Given Sin (90 – a) = 1/2 , find without using tables or calculators the value of Cos a.(Solved)
  

  Given Sin (90 – a) = 1/2 , find without using tables or calculators the value of Cos a.

  Date posted: November 5, 2019.  Answers (1)

• Solve the equation below.(Solved)
  

  Solve the equation below.
  

  Date posted: November 5, 2019.  Answers (1)

• Use logarithms to evaluate(Solved)
  

  Use logarithms to evaluate
  

  Date posted: November 5, 2019.  Answers (1)

• Without using a calculator, evaluate. (Solved)
  

  Without using a calculator, evaluate.
  

  Date posted: November 5, 2019.  Answers (1)

• A (50^oN, 40^oW) and B(50^oN, 80^oE) lie on the surface of the earth. (take R=6370km, p = 22/7) (a) Calculate the distance along the small circle...(Solved)
  

  A (50^oN, 40^oW) and B(50^oN, 80^oE) lie on the surface of the earth. (take R=6370km, π = 22/7)
  (a) Calculate the distance along the small circle between A and B, giving your answer in
  i) Nautical miles
  ii) Kilometers
  (b) Find the distance between A and B along a great circle (over North pole) in
  i) Nautical miles
  ii) Kilometres
  c) Find the time at A if the local time at B is 12:00 noon

  Date posted: November 2, 2019.  Answers (1)