Transform the equation 3 x + y = 4 into slope-intercept form, intercept form and normal form.

Given equation 3 x + y = 4 ⇒ y = - 3 x + 4 is the slope intercept form of the given equation of line. Given equation 3 x + y = 4 ⇒ 3 x 4 + y 4 = 1 ⇒ x 4 3 + y 4 = 1 is the intercept form of the given equation of line. Given equation 3 x + y = 4 Dividing with 3 2 + 1 2 = 3 + 1 = 2 ⇒ 3 2 x + y 2 = 2 ⇒ x cos π 6 + y sin π 6 = 2 is the normal form of the given equation of line.

Transform the equation 3 x + y + 10 = 0 into slope-intercept form, intercept form and normal form.

Given equation 3 x + y + 10 = 0 ⇒ y = - 3 x - 10 is the slope intercept form of the given equation of line. Given equation 3 x + y + 10 = 0 ⇒ - 3 x - y = 10 ⇒ - 3 x 10 - y 10 = 1 ⇒ x - 10 3 + y - 10 = 1 is the intercept form of the given equation of line. Given equation 3 x + y + 10 = 0 Dividing with 3 2 + 1 2 = 3 + 1 = 2 ⇒ - 3 2 x + - 1 2 y = 10 2 ⇒ x cos 7 π 6 + y sin 7 π 6 = 5 is the normal form of the given equation of line.

E M B I B E

Intermediate First Year Mathematics Paper 1B>Chapter 3 - The Straight Line>Exercise 3(b)>Q II

EASY

11th Andhra Pradesh Board

IMPORTANT

Earn 100

Find the equations of the straight lines in the symmetric form, given the slope $- 1$ and a point $(1, 1)$ on the line.

Important Questions on The Straight Line

MEDIUM

11th Andhra Pradesh Board

IMPORTANT

Intermediate First Year Mathematics Paper 1B>Chapter 3 - The Straight Line>Exercise 3(b)>Q II

Transform the equation

3 x + 4 y = 5

into slope-intercept form, intercept form and normal form.

MEDIUM

11th Andhra Pradesh Board

IMPORTANT

Intermediate First Year Mathematics Paper 1B>Chapter 3 - The Straight Line>Exercise 3(b)>Q II

Transform the equation

4 x - 3 y + 12 = 0

into slope-intercept form, intercept form and normal form.

MEDIUM

11th Andhra Pradesh Board

IMPORTANT

Intermediate First Year Mathematics Paper 1B>Chapter 3 - The Straight Line>Exercise 3(b)>Q II

Transform the equation

\sqrt{3} x + y = 4

into slope-intercept form, intercept form and normal form.

MEDIUM

11th Andhra Pradesh Board

IMPORTANT

Intermediate First Year Mathematics Paper 1B>Chapter 3 - The Straight Line>Exercise 3(b)>Q II

Transform the equation

x + y + 2 = 0

into slope-intercept form, intercept form and normal form.

MEDIUM

11th Andhra Pradesh Board

IMPORTANT

Intermediate First Year Mathematics Paper 1B>Chapter 3 - The Straight Line>Exercise 3(b)>Q II

Transform the equation

x + y - 2 = 0

into slope-intercept form, intercept form and normal form.

MEDIUM

11th Andhra Pradesh Board

IMPORTANT

Intermediate First Year Mathematics Paper 1B>Chapter 3 - The Straight Line>Exercise 3(b)>Q II

Transform the equation

\sqrt{3} x + y + 10 = 0

into slope-intercept form, intercept form and normal form.

MEDIUM

11th Andhra Pradesh Board

IMPORTANT

Intermediate First Year Mathematics Paper 1B>Chapter 3 - The Straight Line>Exercise 3(b)>Q II

If the product of the intercepts made by the straight line

x \tan α + y \sec α = 1 (0 \leq α < \frac{π}{2})

on the coordinate axes is equal to

\sin α,

find

α

.

EASY

11th Andhra Pradesh Board

IMPORTANT

Intermediate First Year Mathematics Paper 1B>Chapter 3 - The Straight Line>Exercise 3(b)>Q II

If the sum of the reciprocals of the intercepts made by a variable straight line on the axes of coordinates is a constant, then prove that the line always passes through a fixed point.