MEDIUM
10th CBSE
IMPORTANT
Earn 100

Akhila went to a fair in her village. She wanted to enjoy rides in the Giant Wheel and play Hoopla (a game in which you throw a rig on the items kept in the stall, and if the ring covers any object completely you get it.) The number of times she played Hoopla is half the number of rides she had on the Giant Wheel. Each ride costs ₹3, and a game of Hoopla costs ₹4. If she spent ₹20 in the fair, represent this situation algebraically and graphically.

Important Questions on Pair of Linear Equations in Two Variables

MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.1>Q 2
Aftab tells his daughter, "Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be". Is not this interesting? Represent this situation graphically.
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.1>Q 3
The path of a train A is given by the equation 3x + 4y − 12 = 0 and the path of another train B is given by the equation 6x + 8y − 48 = 0. Represent this situation graphically.
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.1>Q 4
Gloria is walking along the path joining (−2, 3) and (2, −2), while Suresh is walking along the path joining (0, 5) and (4, 0). Represent this situation graphically.
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.1>Q 5
On comparing the ratios a1a2, b1b2 and c1c2, find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincide.
5x + 4y + 8 = 07x + 6y − 9 = 0
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.1>Q 5
On comparing the ratios a1a2, b1b2 and c1c2, and without drawing them, find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincide :
9x + 3y + 12 = 0
18x + 6y + 24 = 0
EASY
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.1>Q 5
On comparing the ratios a1a2, b1b2 and c1c2, and without drawing them, find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincide :
6x − 3y + 10 = 02x − y + 9 = 0
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.1>Q 6
Given linear equation is 2x+3y−8=0. Write another linear equation in two variables such that the geometrical representation of the pair so formed are intersecting lines.
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.1>Q 6
Given the linear equation 2x+3y−8=0, write another linear equation in two variables such that the geometrical representation of the pair so formed is parallel lines.