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ICSE Class 9 Vectors & 3D Geometry — practice questions

Explore 37 free Vectors & 3D Geometry questions in ICSE Class 9 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Vectors & 3D Geometry questions and exercises with answers

Showing questions 1–30 of 37.

In Cartesian co-ordinates, the two perpendicular reference lines are calledRead the answer and worked solution →In an equation written as y = 3 x - 6, the dependent variable isRead the answer and worked solution →The point of intersection of the x-axis and the y-axis is called theRead the answer and worked solution →The co-ordinates of a point are written in the orderRead the answer and worked solution →Express 4 x - 5 y + 20 = 0 with y as the dependent variable.Read the answer and worked solution →The point (3, -2) lies in which quadrant?Read the answer and worked solution →The point (-4, 5) lies onRead the answer and worked solution →Distance between two points (x1, y1) and (x2, y2) is given byRead the answer and worked solution →The distance between (0, 0) and (3, 4) isRead the answer and worked solution →If a point lies on the x-axis, its y-coordinate isRead the answer and worked solution →If a point lies on the y-axis, its x-coordinate isRead the answer and worked solution →The distance between (1, 2) and (4, 6) isRead the answer and worked solution →The mid-point of the segment joining (2, 3) and (6, 7) isRead the answer and worked solution →If a point is reflected in the x-axis, the new co-ordinates of (a, b) becomeRead the answer and worked solution →If a point is reflected in the y-axis, the new co-ordinates of (a, b) becomeRead the answer and worked solution →The point (0, -5) lies onRead the answer and worked solution →If P(2, 3) is shifted 4 units right and 1 unit down, the new co-ordinates areRead the answer and worked solution →The distance of point (5, 0) from the origin isRead the answer and worked solution →The point P(-3, -4) lies inRead the answer and worked solution →The mid-point of the segment joining (-2, -3) and (4, 5) isRead the answer and worked solution →Complete the definition of slopeRead the answer and worked solution →True or false: slopeRead the answer and worked solution →Zero slope, undefined slope, or neither?Read the answer and worked solution →Match each condition to what it tells youRead the answer and worked solution →Parallel, perpendicular, or neither?Read the answer and worked solution →True or false: parallel and perpendicularRead the answer and worked solution →Order the steps: test three points for collinearityRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →

Worked practice questions

In Cartesian co-ordinates, the two perpendicular reference lines are called

  1. x-axis and y-axis
  2. Number line and origin only
  3. Vertical line and slope only
  4. Slope and intercept only
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Correct answer: A. x-axis and y-axis

1. Section 26.1 introduces co-ordinate geometry. 2. A point is located using two perpendicular number lines. 3. These lines are the x-axis (horizontal) and y-axis (vertical). 4. So option A is correct. _Source: Selina Concise Mathematics Class 9, Ch 26 Co-ordinate Geometry (Mistral OCR'd PDF), section 26.1_

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In an equation written as y = 3 x - 6, the dependent variable is

  1. x
  2. y
  3. both x and y
  4. neither x nor y
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Correct answer: B. y

1. Section 26.2 explains dependent and independent variables. 2. Here y is written as the subject of the equation. 3. Its value depends on the value chosen for x. 4. So y is the dependent variable. _Source: Selina Concise Mathematics Class 9, Ch 26 Co-ordinate Geometry (Mistral OCR'd PDF), section 26.2_

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The point of intersection of the x-axis and the y-axis is called the

  1. Vertex with co-ordinates (1, 0)
  2. Centroid with co-ordinates (1, 1)
  3. Origin O with co-ordinates (0, 0)
  4. Focus with co-ordinates (0, 1)
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Correct answer: C. Origin O with co-ordinates (0, 0)

1. Co-ordinate axes cross at one point. 2. That meeting point is called the origin. 3. Its co-ordinates are (0, 0). 4. So option A is correct. _Source: Selina Concise Mathematics Class 9, Ch 26 Co-ordinate Geometry (Mistral OCR'd PDF), section on Cartesian plane_

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