250+ TOP MCQs on General Equation of a Line & Answers | Class 11 Maths

Mathematics Multiple Choice Questions on “General Equation of a Line”.

1. Equation of horizontal line above x-axis at 5 units from x-axis is _______
a) x=5
b) x=-5
c) y=5
d) y=-5
Answer: c
Clarification: Equation of x-axis is y=0. Horizontal line is parallel to x-axis and above it by 5 units so, equation of line is y=5.

2. Equation of horizontal line below x-axis at 5 units from x-axis is _______
a) x=5
b) x=-5
c) y=5
d) y=-5
Answer: d
Clarification: Equation of x-axis is y=0. Horizontal line is parallel to x-axis and below it by 5 units so, equation of line is y=-5.

3. Equation of vertical line to the right of y-axis at 5 units from y-axis is _______
a) x=5
b) x=-5
c) y=5
d) y=-5
Answer: a
Clarification: Equation of y-axis is x=0. Vertical line is parallel to y-axis and to the right by 5 units so, equation of line is x=5.

4. Equation of vertical line to the left of y-axis at 5 units from y-axis is _______
a) x=5
b) x=-5
c) y=5
d) y=-5
Answer: b
Clarification: Equation of y-axis is x=0. Vertical line is parallel to y-axis and to the left by 5 units so, equation of line is x=-5.

5. Find the equation of line parallel to x-axis and passing through (3, 4).
a) x=3
b) x=4
c) y=4
d) y=3
Answer: c
Clarification: Let general equation of line be y=m*x + c.
Since line is parallel to x-axis so, m=0.
=>y=c=>y=4 by substituting the point (3, 4).

6. Find the equation of line parallel to y-axis and passing through (3, 4).
a) x=3
b) x=4
c) y=4
d) y=3
Answer: a
Clarification: Let general equation of line be y=m (x-d) => x = y/m +d
Since line is parallel to y-axis so, m=1/0 or 1/m =0
=>x=d => x=3 by substituting the point (3, 4).

7. If a line has slope 3 and pass through point (1, 2) then the equation of line is _________
a) x=3y-1
b) x=3y+1
c) y=3x+1
d) y=3x-1
Answer: d
Clarification: Let general equation of line be y=m*x + c.
Given m=3 => y=3x+c
Substituting the point (1, 2) in above equation we get 2=3*1 + c => c = -1
So, equation of line will be y = 3x-1.

8. Find the equation of line joining (3, 4) and (5, 8).
a) y = 2x-1
b) y = 2x+2
c) y = 2x+1
d) y = 2x-2
Answer: d
Clarification: We know, equation of line joining two points (x₁, y₁) and (x₂, y₂) is given by
(frac{y-y1}{y2-y1} = frac{x-x1}{x2-x1})
So, equation will be (frac{y-4}{8-4} = frac{x-3}{5-3})
=>(frac{y-4}{4} = frac{x-3}{2})
=>y-4 = 2x-6
=>y = 2x-2

9. If slope of a line is 4 and y-intercept made by the line is 2 then the equation of line will be __________
a) y=4x-2
b) y=4x+2
c) y=2x+4
d) y=2x-4
Answer: b
Clarification: Let general equation of line be y=m*x + c.
Given, m=4 and c=2.
=>y=4x+2

10. If slope of a line is 4 and x-intercept made by the line is 2 then the equation of line will be __________
a) y = 4x-8
b) y = 4x+8
c) y = 2x+4
d) y = 2x-4