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ICSE Class 10 Coordinate Geometry — practice questions — page 3

Explore 77 free Coordinate Geometry questions in ICSE Class 10 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Coordinate Geometry questions and exercises with answers

Showing questions 61–77 of 77.

For 0°<θ<180°, a line of negative slope has inclination θ that isRead the answer and worked solution →Rewrite 3x+2y=8 to identify its slope.Read the answer and worked solution →A line meets the axes at (3,0) and (0,−2). Which equation fits?Read the answer and worked solution →At which point does y=−2x+6 meet the x-axis?Read the answer and worked solution →Which equation joins (−1,2) and (3,−6)?Read the answer and worked solution →For (1,2),(3,6),(5,k) to be collinear, k must equalRead the answer and worked solution →The line kx+2y=5 is parallel to 3x−y=7. Find k.Read the answer and worked solution →A line through (2,3) is parallel to 2x−y=5. Its equation isRead the answer and worked solution →Which line through (2,3) is perpendicular to y=2x+1?Read the answer and worked solution →For the horizontal y=3, a perpendicular through (−2,5) has equationRead the answer and worked solution →What describes 2x−3y=6 and 4x−6y=12?Read the answer and worked solution →Where do y=2x+1 and y=−x+7 intersect?Read the answer and worked solution →A line through (0,2) and (3,5) also contains (k,0). Find k.Read the answer and worked solution →A=(0,0), B=(6,3). P is internal and lies on x+y=6. Find AP:PB.Read the answer and worked solution →In triangle A=(0,4),B=(−2,0),C=(4,0), the median from A lies onRead the answer and worked solution →In triangle A=(0,4),B=(0,0),C=(4,2), which line is the altitude from A?Read the answer and worked solution →Find the line through (0,−3) with inclination 45°.Read the answer and worked solution →

Worked practice questions

For 0°<θ<180°, a line of negative slope has inclination θ that is

  1. A straight angle
  2. An obtuse angle
  3. A right angle
  4. An acute angle
Show answer and solution

Correct answer: B. An obtuse angle

Tangent is negative between 90° and 180°, so the inclination is obtuse.

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Rewrite 3x+2y=8 to identify its slope.

  1. 3/2
  2. −2/3
  3. −3/2
  4. 2/3
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Correct answer: C. −3/2

The equation becomes y=−(3/2)x+4, whose coefficient of x is −3/2.

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A line meets the axes at (3,0) and (0,−2). Which equation fits?

  1. 2x−3y=6
  2. 2x+3y=6
  3. 3x−2y=6
  4. 2x−3y=−6
Show answer and solution

Correct answer: A. 2x−3y=6

Both intercept points satisfy 2x−3y=6, giving their unique joining line.

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