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MHT-CET Straight Lines — practice questions

Explore 77 free Straight Lines questions in MHT-CET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Straight Lines questions and exercises with answers

Showing questions 1–30 of 77.

Between which limits does the inclination of any line lie?Read the answer and worked solution →What is the inclination of a line parallel to the y-axis?Read the answer and worked solution →If a line has inclination θ, its slope is defined asRead the answer and worked solution →A line makes an inclination of 45° with the positive x-axis. Its slope isRead the answer and worked solution →Find the slope of the line through (3, –2) and (–1, 4).Read the answer and worked solution →Two non-vertical lines are parallel exactly when their slopes areRead the answer and worked solution →The product of the slopes of two perpendicular non-vertical lines isRead the answer and worked solution →A line of slope 2/3 is perpendicular to a line of slopeRead the answer and worked solution →The line through (–2, 6) and (4, 8) is perpendicular to the line through (8, 12) and (x, 24). Find x.Read the answer and worked solution →Three points on one straight line form a triangle whose area isRead the answer and worked solution →Find the area of the triangle with vertices (0, 0), (4, 0) and (0, 6).Read the answer and worked solution →A point divides the segment from A(1, –3) to B(–3, 9) internally in the ratio 1:3. Its coordinates areRead the answer and worked solution →Which French mathematician published La Géométrie in 1637, introducing the equation of a curve?Read the answer and worked solution →The study of geometry using algebra is calledRead the answer and worked solution →A horizontal line lies 5 units above the x-axis. Its equation isRead the answer and worked solution →The line through (–2, 3) parallel to the x-axis has equationRead the answer and worked solution →The point-slope form of a line through (x0, y0) with slope m isRead the answer and worked solution →Find the line through (–2, 3) with slope –4.Read the answer and worked solution →Deriving the two-point form uses the fact that three points on the line areRead the answer and worked solution →The line through (1, –1) and (3, 5) has y-interceptRead the answer and worked solution →The slope-intercept form of a line isRead the answer and worked solution →What is the y-intercept of the line y = 3x – 7?Read the answer and worked solution →A line with y-intercept c cuts the y-axis at the pointRead the answer and worked solution →Find the line with slope 2 and y-intercept 3.Read the answer and worked solution →The intercept form of a line with x-intercept a and y-intercept b isRead the answer and worked solution →A line has x-intercept 4 and y-intercept 6. Its equation isRead the answer and worked solution →Ax + By + C = 0 is a general linear equation providedRead the answer and worked solution →The slope of the line Ax + By + C = 0 (B ≠ 0) isRead the answer and worked solution →The distance of a point from a line is the length of theRead the answer and worked solution →Find the distance of (3, –5) from the line 3x – 4y – 26 = 0.Read the answer and worked solution →

Worked practice questions

Between which limits does the inclination of any line lie?

  1. 90° to 270°
  2. 0° to 90°
  3. 0° to 180°
  4. 0° to 360°
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Correct answer: C. 0° to 180°

Inclination is measured anticlockwise from the positive x-axis and is restricted to 0° ≤ θ ≤ 180°.

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What is the inclination of a line parallel to the y-axis?

  1. 180°
  2. 0°
  3. 90°
  4. 45°
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Correct answer: C. 90°

A vertical line stands at a right angle to the x-axis, so its inclination is 90°.

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If a line has inclination θ, its slope is defined as

  1. sin θ
  2. cot θ
  3. cos θ
  4. tan θ
Show answer and solution

Correct answer: D. tan θ

The slope or gradient is the tangent of the inclination, m = tan θ.

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More Mathematics topics

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