Vidaara.orgClass 11 · Mathematics
CodeVID-M11-09-FRM-01
Various Forms of a Line — Assignment
Name: ____________________
Roll No.: __________
Date: ____________
General Instructions
- All questions are compulsory.
- Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
- Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions
5 × 1 = 5 marks
1.
The slope-intercept form is:
- A.$y=mx+c$
- B.$ax+by=c$
- C.$\tfrac{x}{a}+\tfrac{y}{b}=1$
- D.$x=a$
2.
The equation of the x-axis is:
- A.$x=0$
- B.$y=0$
- C.$x=y$
- D.$y=x$
3.
The equation of a line through the origin with slope $m$ is:
- A.$y=mx+c$
- B.$y=mx$
- C.$x=my$
- D.$y=c$
4.
The intercept form of a line is:
- A.$y=mx+c$
- B.$\tfrac{x}{a}+\tfrac{y}{b}=1$
- C.$ax+by+c=0$
- D.$x=a$
5.
The equation of the vertical line through $(3,0)$ is:
- A.$y=3$
- B.$x=3$
- C.$x=0$
- D.$y=0$
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Find the equation of a line with slope $2$ and y-intercept $5$.
7.
Find the equation of a line through $(1,2)$ with slope $3$.
8.
Find the equation of the line through $(0,0)$ and $(2,4)$.
9.
Find the equation of a line with x-intercept $4$ and y-intercept $2$.
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Find the equation of the line through $(2,3)$ and $(4,7)$.
11.
Convert $2x+3y-6=0$ to intercept form.
12.
Find the equation of the line through $(1,-1)$ parallel to $2x+3y=5$.
13.
Find the equation of the line through $(2,3)$ perpendicular to $x+y=4$.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
Find the equation of the line through $(3,4)$ making intercepts on the axes whose sum is $14$.
15.
Find the equation of the perpendicular bisector of the segment joining $A(1,2)$ and $B(3,6)$.
Answer Key
Section A — Multiple Choice Questions
- (A) $y=mx+c$
- (B) $y=0$
- (B) $y=mx$
- (B) $\tfrac{x}{a}+\tfrac{y}{b}=1$
- (B) $x=3$
Section B — Short Answer (2 marks)
- $y=2x+5$.
- $y-2=3(x-1)$, i.e. $y=3x-1$.
- $y=2x$.
- $\tfrac{x}{4}+\tfrac{y}{2}=1$.
Section C — Short Answer (3 marks)
- $y=2x-1$.
- $\tfrac{x}{3}+\tfrac{y}{2}=1$.
- $2x+3y+1=0$.
- $y=x+1$.
Section D — Long Answer (5 marks)
- $\tfrac{x}{6}+\tfrac{y}{8}=1$ or $x+y=7$.
- $x+2y=10$.
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