Worksheets › Class 11 › Straight Lines
Class 11 Straight Lines worksheet
CBSE Mathematics. Slope, forms of the equation, parallel and perpendicular lines, distances. Every sheet has 20 questions in three sections and an answer key, and the numbers change every time.
Sample questions
Real questions from this chapter, as the app sets them. Tap Answer to see the answer and working.
Section A · multiple choice
- 1.
The slope of the line through (−5, 2) and (8, 8) is:
- 13/6
- −6/13
- 19/13
- 6/13
Answer
(d) 6/13
(8 − 2) ÷ (8 − (−5))
- 2.
The equation of the line through (7, 6) with slope −2 is:
- x − 2y + 20 = 0
- 2x + y + 20 = 0
- 2x − y − 20 = 0
- 2x + y − 20 = 0
Answer
(d) 2x + y − 20 = 0
y − 6 = −2(x − 7)
- 3.
A line has slope −5/4. The slope of a line perpendicular to it is:
- 4/5
- −5/4
- 5/4
- −4/5
Answer
(a) 4/5
m₁m₂ = −1
Section B · short answer
- 4.
Find the equation of the line through (5, 7) and (8, 8).
Answer
x − 3y + 16 = 0
slope 1/3; y − 7 = m(x − 5)
- 5.
Find the equation of the line that makes intercepts 1 and 3 on the x- and y-axes.
Answer
3x + y − 3 = 0
x/1 + y/3 = 1
Section C · long answer
- 6.
The vertices of a triangle are P(5, −7), Q(1, 2) and R(6, −5). Find the equations of (a) side QR, (b) the median from P, (c) the altitude from P.
Answer
(a) 7x + 5y − 17 = 0; (b) 11x + 3y − 34 = 0; (c) 5x − 7y − 74 = 0
midpoint of QR (7/2, −3/2); altitude ⟂ QR
Fresh sheets for your child
In the app, every Straight Lines sheet is new: the app remembers the questions your child has already had and leaves them out. Print the sheet as a PDF, or use notebook mode and write the answers in a notebook.
Coming soon for Android and iPhone.