Solve, using cross-multiplication :
4x - y = 5
5y - 4x = 7
[6] Simultaneous (Linear) Equations [Including Problems]
Chapter: [6] Simultaneous (Linear) Equations [Including Problems]
Concept: undefined >> undefined
Solve, using cross-multiplication :
4x - 3y = 0
2x + 3y = 18
[6] Simultaneous (Linear) Equations [Including Problems]
Chapter: [6] Simultaneous (Linear) Equations [Including Problems]
Concept: undefined >> undefined
Solve, using cross-multiplication :
8x + 5y = 9
3x + 2y = 4
[6] Simultaneous (Linear) Equations [Including Problems]
Chapter: [6] Simultaneous (Linear) Equations [Including Problems]
Concept: undefined >> undefined
Solve, using cross-multiplication :
4x - 3y - 11 = 0
6x + 7y - 5 = 0
[6] Simultaneous (Linear) Equations [Including Problems]
Chapter: [6] Simultaneous (Linear) Equations [Including Problems]
Concept: undefined >> undefined
Solve, using cross-multiplication :
4x + 6y = 15
3x - 4y = 7
[6] Simultaneous (Linear) Equations [Including Problems]
Chapter: [6] Simultaneous (Linear) Equations [Including Problems]
Concept: undefined >> undefined
Solve, using cross-multiplication :
0.4x - 1.5y = 6.5
0.3x + 0.2y = 0.9
[6] Simultaneous (Linear) Equations [Including Problems]
Chapter: [6] Simultaneous (Linear) Equations [Including Problems]
Concept: undefined >> undefined
Solve, using cross-multiplication :
√2x - √3y = 0
√5x + √2y = 0
[6] Simultaneous (Linear) Equations [Including Problems]
Chapter: [6] Simultaneous (Linear) Equations [Including Problems]
Concept: undefined >> undefined
E is the mid-point of side AB and F is the mid-point of side DC of parallelogram ABCD. Prove that AEFD is a parallelogram.
[14] Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]
Chapter: [14] Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]
Concept: undefined >> undefined
The diagonal BD of a parallelogram ABCD bisects angles B and D. Prove that ABCD is a rhombus.
[14] Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]
Chapter: [14] Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]
Concept: undefined >> undefined
The alongside figure shows a parallelogram ABCD in which AE = EF = FC.
Prove that:
- DE is parallel to FB
- DE = FB
- DEBF is a parallelogram.
[14] Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]
Chapter: [14] Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]
Concept: undefined >> undefined
In the alongside diagram, ABCD is a parallelogram in which AP bisects angle A and BQ bisects angle B.
Prove that:
- AQ = BP
- PQ = CD
- ABPQ is a parallelogram.
[14] Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]
Chapter: [14] Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]
Concept: undefined >> undefined
In the given figure, ABCD is a parallelogram.
Prove that: AB = 2 BC.
[14] Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]
Chapter: [14] Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]
Concept: undefined >> undefined
Prove that the bisectors of opposite angles of a parallelogram are parallel.
[14] Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]
Chapter: [14] Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]
Concept: undefined >> undefined
The following figure shows a trapezium ABCD in which AB is parallel to DC and AD = BC.
Prove that:
(i) ∠DAB = ∠CBA
(ii) ∠ADC = ∠BCD
(iii) AC = BD
(iv) OA = OB and OC = OD.
[14] Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]
Chapter: [14] Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]
Concept: undefined >> undefined
In parallelogram ABCD, the bisector of angle A meets DC at P and AB = 2 AD.
Prove that:
(i) BP bisects angle B.
(ii) Angle APB = 90o.
[14] Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]
Chapter: [14] Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]
Concept: undefined >> undefined
Points M and N are taken on the diagonal AC of a parallelogram ABCD such that AM = CN. Prove that BMDN is a parallelogram.
[14] Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]
Chapter: [14] Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]
Concept: undefined >> undefined
Construct a square ABCD, when: One side = 4.5 cm.
[15] Construction of Polygons (Using Ruler and Compass Only)
Chapter: [15] Construction of Polygons (Using Ruler and Compass Only)
Concept: undefined >> undefined
Construct a square ABCD, when: One diagonal = 5.4 cm.
[15] Construction of Polygons (Using Ruler and Compass Only)
Chapter: [15] Construction of Polygons (Using Ruler and Compass Only)
Concept: undefined >> undefined
Construct a square ABCD, when: Perimeter = 24 cm.
[15] Construction of Polygons (Using Ruler and Compass Only)
Chapter: [15] Construction of Polygons (Using Ruler and Compass Only)
Concept: undefined >> undefined
The value of π up to 50 decimal place is
3.14159265358979323846264338327950288419716939937510
(i) Make a frequency distribution table of digits from 0 to 9 after the decimal place.
(ii) Which are the most and least occurring digits?
[18] Statistics
Chapter: [18] Statistics
Concept: undefined >> undefined
