Co-ordinate Geometry
ICSE · Class 9 · Mathematics
Flashcards for Co-ordinate Geometry — ICSE Class 9 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
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Get startedWhat is Co-ordinate Geometry?
Answer
Co-ordinate Geometry is the branch of mathematics in which a pair of two numbers, called co-ordinates, is used to represent the position of a point with respect to two mutually perpendicular number li…
In the equation y = 3x + 5, identify the dependent and independent variables.
Answer
In y = 3x + 5: - y is the dependent variable (its value depends on x) - x is the independent variable (we can choose any value for x) Since the equation is expressed with y as the subject, y depends o…
What is an ordered pair? Give three examples.
Answer
An ordered pair is a pair of two numbers written in a specific order, separated by a comma, and enclosed in small brackets. The order is important and necessary. Examples: (5, 7), (-3, 4), (0, -2) N…
If (x + 2, 5) = (7, y - 1), find the values of x and y.
Answer
When two ordered pairs are equal, their corresponding components are equal. (x + 2, 5) = (7, y - 1) First components: x + 2 = 7 ∴ x = 5 Second components: 5 = y - 1 ∴ y = 6 Therefore, x = 5 and y …
Name the four quadrants and describe the signs of coordinates in each.
Answer
The four quadrants are: 1st Quadrant (XOY): Both x and y are positive (+, +) 2nd Quadrant (X'OY): x is negative, y is positive (-, +) 3rd Quadrant (X'OY'): Both x and y are negative (-, -) 4th Quadra…
What are the coordinates of a point on the x-axis? What are the coordinates of a point on the y-axis?
Answer
Points on the x-axis: The y-coordinate is always 0, so coordinates are of the form (x, 0) Examples: (3, 0), (-5, 0), (0, 0) Points on the y-axis: The x-coordinate is always 0, so coordinates are of t…
What is the equation of the x-axis? What is the equation of the y-axis?
Answer
Equation of x-axis: y = 0 (Because for every point on the x-axis, the y-coordinate is 0) Equation of y-axis: x = 0 (Because for every point on the y-axis, the x-coordinate is 0)…
What type of line does the equation x = 5 represent? What about y = -3?
Answer
x = 5 represents a vertical line parallel to the y-axis, passing through all points where x-coordinate is 5, such as (5, 0), (5, 2), (5, -4), etc. y = -3 represents a horizontal line parallel to the …
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