Start learning →

MHT-CET Straight Lines — practice questions — page 3

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

Practise Straight Lines with Quill →

Straight Lines questions and exercises with answers

Showing questions 61–77 of 77.

Which is the equation of the line with slope 2 through the point (1, 3)?Read the answer and worked solution →For the line ax + by + c = 0 with b not zero, the slope isRead the answer and worked solution →A set of points in a plane satisfying a given geometrical condition is called aRead the answer and worked solution →The locus of points equidistant from the ends of a segment is itsRead the answer and worked solution →Find the equation of the locus of points 4 units from the origin.Read the answer and worked solution →Every point on the X-axis has y co-ordinate zero. So the X-axis has equationRead the answer and worked solution →What is the plural of the word locus?Read the answer and worked solution →The origin is shifted to O'(2, 3). What are the new co-ordinates of (5, 7)?Read the answer and worked solution →The origin is shifted to (-2, 1). A point has new co-ordinates (7, -4). What are its old co-ordinates?Read the answer and worked solution →The normal form of the equation of a line at distance p from the origin isRead the answer and worked solution →A line has normal length p = 5 and normal angle α = 90 degrees. Its equation isRead the answer and worked solution →Every line through the origin with slope m belongs to the familyRead the answer and worked solution →The points (1, 1), (2, 2) and (k, 5) are collinear. Find k.Read the answer and worked solution →Find the line through (2, 3) making equal non-zero intercepts on the axes.Read the answer and worked solution →Find the line through the origin perpendicular to 2x + 3y = 5.Read the answer and worked solution →Find k so that kx + 3y + 1 = 0 is parallel to 2x + y - 5 = 0.Read the answer and worked solution →The general form of the line y = 3x + 2 isRead the answer and worked solution →

Worked practice questions

Which is the equation of the line with slope 2 through the point (1, 3)?

  1. 2x + y - 5 = 0
  2. 2x - y + 1 = 0
  3. x - 2y + 5 = 0
  4. 2x - y - 1 = 0
Show answer and solution

Correct answer: B. 2x - y + 1 = 0

Point-slope form gives y - 3 = 2(x - 1), i.e. 2x - y + 1 = 0.

Open this question →

For the line ax + by + c = 0 with b not zero, the slope is

  1. a/b
  2. -b/a
  3. -c/b
  4. -a/b
Show answer and solution

Correct answer: D. -a/b

Rewriting as y = -(a/b)x - c/b shows slope -a/b.

Open this question →

A set of points in a plane satisfying a given geometrical condition is called a

  1. ray
  2. segment
  3. locus
  4. vector
Show answer and solution

Correct answer: C. locus

A locus is the set of all points that satisfy the stated condition.

Open this question →

How to practise

  1. Choose a Straight Lines question and try to work out your answer.
  2. Open the question to check the correct answer and read its worked solution.
  3. Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.

More Mathematics topics

Permutations and CombinationsProbabilityApplication of DerivativesLinear ProgrammingDifferential EquationsVectorsDefinite IntegrationMatrices