Math, asked by thansyb, 10 months ago


MATHS-IB
STRAIGHT LINES
1. Write the equation of the reflection of the line x=1, in the y-1 axis.​

Answers

Answered by jeyuva04
2

Answer:

The equation of the line x = 1 will be :

x = -1 as it gets reflected through y axis

==> x + 1 = 0

This is the equation

Answered by geetaranipatnayak
2

Solution:

A straight line can be represented in various forms as illustrated in the chart given below:

A straight line can be represented in various forms

Now, we express the given line i.e. 3x – 4y + 5 = 0 in the various forms one by one:

Slope Intercept Form

y = 3/4 x + 5/4

where, m = slope = 3/4

c = 5/4 (y – intercept)

Intercept Form

We can write the given line as 3x – 4y = –5

⇒ 3x/–5 + 4y/5 = 1

x/–5/3 + y/5/4 = 1 (intercept form)

x – intercept = –5/3

y – intercept = 5/4

Point – Slope Form

Let x = 1, then y = 3/4 + 5/4 = 2

y – 2 = 3/4 (x – 1)

Parametric Form

x–1/cos θ = r, where tan θ = 3/4

⇒ x–1/4/5 = y–2/3/5 = r

Normal Form

3x – 4y = – 5

–3x + 4y = 5

Dividing by ((–3)2 + 4)½

⇒ –3/5 x + 4/5 y = 5/5 = 1

⇒ x cos α + y sin α = p, p > 0

Where cos α = –3/5, sin α = 4/5, p = 1

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