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Pair of Linear Equations in Two Variables

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

Graphical Method of Solution

Subtopic

Graphical Method of Solution under Pair of Linear Equations in Two Variables for Grade 10 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Any point of the form (k,k)(k, k) where k≠0k \neq 0 must lie on the line:

    A.

    x+y=0x + y = 0

    B.

    x−y=0x - y = 0

    C.

    x+y=1x + y = 1

    D.

    x=0x = 0

  2. 2.

    The lines represented by y=5y = 5 and y=1y = 1 are:

    A.

    Parallel

    B.

    Intersecting

    C.

    Coincident

    D.

    Perpendicular

  3. 3.

    The system of equations x+2y=5x + 2y = 5 and 3x+6y=153x + 6y = 15 is graphically represented by:

    A.

    Intersecting lines

    B.

    Parallel lines

    C.

    Coincident lines

    D.

    None of these

Download the worksheet for Pair of Linear Equations in Two Variables - Graphical Method of Solution to practice offline. It includes additional chapter-level practice questions.

Algebraic Methods of Solution (Substitution and Elimination)

Subtopic

Algebraic Methods of Solution (Substitution and Elimination) under Pair of Linear Equations in Two Variables for Grade 10 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Solve the system x−2y=0x - 2y = 0 and x+y=6x + y = 6.

    A.

    (2, 4)

    B.

    (4, 2)

    C.

    (3, 3)

    D.

    (6, 0)

  2. 2.

    If x=yx = y and x+y=8x + y = 8, the value of xx is:

    A.

    2

    B.

    4

    C.

    6

    D.

    8

  3. 3.

    Solve the pair x+y=11x + y = 11 and x−y=3x - y = 3 using elimination.

    A.

    x=7,y=4x=7, y=4

    B.

    x=8,y=3x=8, y=3

    C.

    x=6,y=5x=6, y=5

    D.

    x=9,y=2x=9, y=2

Download the worksheet for Pair of Linear Equations in Two Variables - Algebraic Methods of Solution (Substitution and Elimination) to practice offline. It includes additional chapter-level practice questions.

Consistency and Inconsistency of Solutions

Subtopic

Consistency and Inconsistency of Solutions under Pair of Linear Equations in Two Variables for Grade 10 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    The graph of y=5y = 5 is a line:

    A.

    Parallel to the xx-axis

    B.

    Parallel to the yy-axis

    C.

    Passing through origin

    D.

    None of these

  2. 2.

    If the pair of equations 2x+3y=72x + 3y = 7 and kx+92y=12kx + \frac{9}{2}y = 12 have no solution, find kk.

    A.

    k=3k = 3

    B.

    k=2k = 2

    C.

    k=6k = 6

    D.

    k=4k = 4

  3. 3.

    The lines x=4x = 4 and y=5y = 5 are:

    A.

    Parallel to each other

    B.

    Coincident

    C.

    Perpendicular to each other

    D.

    None of these

Download the worksheet for Pair of Linear Equations in Two Variables - Consistency and Inconsistency of Solutions to practice offline. It includes additional chapter-level practice questions.

Pair of Linear Equations in Two Variables - Class 10 Maths (CBSE) | Krit.club