Vidaara.orgClass 11 · Mathematics
CodeVID-M11-09-CT
Straight Lines — Full Chapter Test
Name: ____________________
Roll No.: __________
Date: ____________
General Instructions
- This is a full-length test covering the whole chapter — every topic is included.
- 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 of a horizontal line is:
- A.$0$
- B.undefined
- C.$1$
- D.$\infty$
2.
The slope-intercept form is:
- A.$y=mx+c$
- B.$ax+by=c$
- C.$\tfrac{x}{a}+\tfrac{y}{b}=1$
- D.$x=a$
3.
The distance from $(x_1,y_1)$ to $ax+by+c=0$ is:
- A.$\tfrac{|ax_1+by_1+c|}{\sqrt{a^2+b^2}}$
- B.$|ax_1+by_1+c|$
- C.$\tfrac{1}{\sqrt{a^2+b^2}}$
- D.$a+b+c$
4.
The slope of the line through $(1,2)$ and $(3,6)$ is:
- A.$1$
- B.$2$
- C.$3$
- D.$\tfrac12$
5.
The equation of the x-axis is:
- A.$x=0$
- B.$y=0$
- C.$x=y$
- D.$y=x$
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Find the slope of the line through $(2,3)$ and $(4,7)$.
7.
Find the equation of a line with slope $2$ and y-intercept $5$.
8.
Find the distance from $(1,2)$ to $3x+4y-10=0$.
9.
Find the slope of $2x+3y=6$.
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Find the angle between two lines with slopes $1$ and $0$.
11.
Find the equation of the line through $(2,3)$ and $(4,7)$.
12.
Find the distance from $(2,-1)$ to $4x+3y+1=0$.
13.
Find the slope of a line making $60^\circ$ with the positive x-axis.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
Find the angle between the lines $\sqrt3\,x+y=1$ and $x+\sqrt3\,y=1$.
15.
Find the equation of the line through $(3,4)$ making intercepts on the axes whose sum is $14$.
Answer Key
Section A — Multiple Choice Questions
- (A) $0$
- (A) $y=mx+c$
- (A) $\tfrac{|ax_1+by_1+c|}{\sqrt{a^2+b^2}}$
- (B) $2$
- (B) $y=0$
Section B — Short Answer (2 marks)
- $2$.
- $y=2x+5$.
- $\tfrac15$.
- $-\tfrac23$.
Section C — Short Answer (3 marks)
- $45^\circ$.
- $y=2x-1$.
- $\tfrac65$.
- $\sqrt3$.
Section D — Long Answer (5 marks)
- $30^\circ$.
- $\tfrac{x}{6}+\tfrac{y}{8}=1$ or $x+y=7$.
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