The coordinates of two points A and B are (2, -3) and (-4, 5) and R is the mid-point of AB.2/1/2023 questions
The coordinates of two points A and B are (2, -3) and (-4, 5) and R is the mid-point of AB.
a) Determine the coordinates of R. (2 marks)
b) Find the equation of a straight line joining A and B, expressing it in the form y=mx+c where m and c are constants. (3 marks) c) The straight line L_(1 ) which is a perpendicular bisector of AB meets the X-axis at T. Find the coordinates of T. (3 marks) d) If the straight line L_(1 )is parallel to a line that passes through the point (-1, 6) and (a, 8), find a. (2 marks) answers
During a certain ceremony goats and chicken were slaughtered. The number of heads (for both chicken and goats) was 45. The total number of legs was 100. Determine the exact number of goats and chicken slaughtered. (3mks) Worked Answer:
Form 2 Mathematics
A trader bought two types of bulbs A and B at Ksh 60 and Ksh 56 respectively. She bought a total of 50 bulbs of both types ct a total of Ksh 2872.
Determine the number of type A bulbs that she bought.
answer
Form 3 Mathematics
Use completing the square method to solve 3x2 + 8x — 6 = 0, correct to 3 significant figures.
answer
Form 2 MathematicsOn the diagram below, the line whose equation is 7y – 3x + 30 = 0 passes though the points A and B. Point A on the x- axis while point B is equidistant from x- and y – axes. 
Calculate the co-ordinates of the points A and B (3mks)
Answer
Form 3 Mathematics
Murimi and Naliaka had each 840 tree seedlings. Murimi planted equal number of seedlings per row in x rows while Naliaka planted equal number of seedlings in (x + 1) rows.
The number of tree seedlings planted by Murimi in each row were 4 more than those planted by Naliaka in each row. Calculate the number of seedlings Murimi planted in each row.
answer
Form 3 Mathematics
a)Solve the equation
b) The length of a floor of a rectangular hall is 9m more than its width. The area of the floor is 136m2
.i)Calculate the perimeter of the floor ii)A rectangular carpet is placed on the floor of the wall leaving an area of 64m2. If the length of a carpet is twice its width, determine the width of the carpet.
answers
Form 1 Mathematics
The cost of 2 jackets and 3 shirts was Ksh 1800. After the cost of a jacket and that of a shirt were increased by 20%, the cost of 6 jackets and 2 shirts was
Ksh 4 800. Calculate the new cost of a jacket and that of a shirt.
answer
Form 2 Mathematics
Given the simultaneous equations
5x + y = 19 -x + 3y = 9
Answer
Form 2 Mathematics
A straight line passes through points A(-3,8) and B(3, -4). Find the equation of the straight line through(3,4) and parallel to AB. Give the answer in the form y – mx +c, and c are constants. (3mks)
ANSWER
Form 3 Mathematics
(a) Complete the table below for y = x3+4x2-5x-5
(b) On the grid provided, draw the graphs of y = x3 +4x2-5x-5 for -5 ≤ x ≤ 2
(c) (i) Use the graph to solve the equation x3 +4x2 – 5x – 5 = 0 (ii) By drawing a suitable straight line on the graph, solve the equation x3 + 4x2 – 5x -5 = - 4x – 1
answers
Form 1 Mathematics
Hadija and Kagendo bought the same types of pens and exercise books from the same shop
Hadija bought 2 pens and 3 exercise books for Kshs 78. Kagendo bought pens and 4 exercise books for Kshs 108 Calculate the cost of each item
answer
Form 3 Mathematics
A curve is given by the equation: u = 5x3 – 7x2 + 3x +2) Gradient of the curve at x = 1
answer
Form 2 Mathematics | Topical Questions and Answers
Karani bought 4 pencils and 6 biro- pens for Kshs 66 and Tachora bought 2 pencils and 5 biro- pens for Kshs 51.
ANSWER
Related Questions on Linear and Simultaneous Equations The mass of 6 similar art books and 4 similar biology books is 7.2 kg. The mass of 2 such art books and 3 such biology books is 3.4 kg. Find the mass of one art book and mass of one biology book.ANSWER
The coordinates of the points P and Q are ( 1, -2) and ( 4, 10) respectively. |
