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Coordinate Geometry

Each subtopic includes About section, revision page link, 10 preview questions, and practice CTAs.

Gradient and Midpoint of a Line

Subtopic

Gradient and Midpoint of a Line under Coordinate Geometry for Grade 12 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Determine the midpoint of the line segment joining (5,0)(5, 0) and (0,10)(0, 10).

    A.

    (2.5,5)(2.5, 5)

    B.

    (5,5)(5, 5)

    C.

    (2.5,2.5)(2.5, 2.5)

    D.

    (5,10)(5, 10)

  2. 2.

    Find the gradient of a line parallel to y=3x−7y = 3x - 7.

    A.

    33

    B.

    −3-3

    C.

    13\frac{1}{3}

    D.

    77

  3. 3.

    Find the midpoint of the points (2,4)(2, 4) and (6,8)(6, 8).

    A.

    (4,6)(4, 6)

    B.

    (8,12)(8, 12)

    C.

    (4,4)(4, 4)

    D.

    (6,4)(6, 4)

Download the worksheet for Coordinate Geometry - Gradient and Midpoint of a Line to practice offline. It includes additional chapter-level practice questions.

Equation of a Straight Line (y = mx + c)

Subtopic

Equation of a Straight Line (y = mx + c) under Coordinate Geometry for Grade 12 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Rearrange y−4=2xy - 4 = 2x into the form y=mx+cy = mx + c.

    A.

    y=2x−4y = 2x - 4

    B.

    y=−2x+4y = -2x + 4

    C.

    y=2x+4y = 2x + 4

    D.

    y=4x+2y = 4x + 2

  2. 2.

    Identify the gradient of the line passing through (−5,2)(-5, 2) and (−2,2)(-2, 2).

    A.

    0

    B.

    3

    C.

    Undefined

    D.

    1

  3. 3.

    Find the yy-intercept of the line y=0.5(4x−8)y = 0.5(4x - 8).

    A.

    -8

    B.

    -4

    C.

    4

    D.

    2

Download the worksheet for Coordinate Geometry - Equation of a Straight Line (y = mx + c) to practice offline. It includes additional chapter-level practice questions.

Parallel and Perpendicular Lines

Subtopic

Parallel and Perpendicular Lines under Coordinate Geometry for Grade 12 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    The gradient of a line parallel to y=1.5x−4y = 1.5x - 4 is:

    A.

    32\frac{3}{2}

    B.

    −32-\frac{3}{2}

    C.

    23\frac{2}{3}

    D.

    −23-\frac{2}{3}

  2. 2.

    Find the gradient of a line perpendicular to y=−52x+3y = -\frac{5}{2}x + 3.

    A.

    52\frac{5}{2}

    B.

    25\frac{2}{5}

    C.

    −25-\frac{2}{5}

    D.

    −52-\frac{5}{2}

  3. 3.

    If the gradient of a line is mm, what is the gradient of a parallel line?

    A.

    −m-m

    B.

    1m\frac{1}{m}

    C.

    −1m-\frac{1}{m}

    D.

    mm

Download the worksheet for Coordinate Geometry - Parallel and Perpendicular Lines to practice offline. It includes additional chapter-level practice questions.

Equations of Circles

Subtopic

Equations of Circles under Coordinate Geometry for Grade 12 IGCSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Find the equation of a circle centered at (0,2)(0, 2) with radius 22.

    A.

    x2+(y−2)2=4x^2 + (y - 2)^2 = 4

    B.

    (x−2)2+y2=4(x - 2)^2 + y^2 = 4

    C.

    x2+(y+2)2=4x^2 + (y + 2)^2 = 4

    D.

    x2+y2=4x^2 + y^2 = 4

  2. 2.

    What is the radius of the circle (x−4)2+y2=16(x - 4)^2 + y^2 = 16?

    A.

    16

    B.

    8

    C.

    4

    D.

    2

  3. 3.

    The area of a circle is 25π25\pi. If its center is (2,3)(2, 3), what is its equation?

    A.

    (x−2)2+(y−3)2=5(x - 2)^2 + (y - 3)^2 = 5

    B.

    (x−2)2+(y−3)2=25(x - 2)^2 + (y - 3)^2 = 25

    C.

    (x+2)2+(y+3)2=25(x + 2)^2 + (y + 3)^2 = 25

    D.

    (x−2)2+(y−3)2=625(x - 2)^2 + (y - 3)^2 = 625

Download the worksheet for Coordinate Geometry - Equations of Circles to practice offline. It includes additional chapter-level practice questions.

Coordinate Geometry - Grade 12 Maths (IGCSE) | Krit.club