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

MEDIUM

11th Andhra Pradesh Board

IMPORTANT

Earn 100

Each side of a square is of length $4$ units. The centre of the square is $(3, 7)$ and one of its diagonals is parallel to $y = x$ . Find the coordinates of its vertices.

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(d)>Q III

If

a b > 0

, find the area of the rhombus enclosed by the four straight lines

a x \pm b y \pm c = 0

.

MEDIUM

11th Andhra Pradesh Board

IMPORTANT

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

Find the area of the parallelogram whose sides are

3 x + 4 y + 5 = 0, 3 x + 4 y - 2 = 0

,

2 x + 3 y + 1 = 0

and

2 x + 3 y - 7 = 0

.

MEDIUM

11th Andhra Pradesh Board

IMPORTANT

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

A person standing at the junction (crossing) of two straight paths represented by the equations

2 x - 3 y + 4 = 0

and

3 x + 4 y - 5 = 0

wants to reach the path whose equation is

6 x - 7 y + 8 = 0

in the least time. Find the equation of the path that he should follow.

HARD

11th Andhra Pradesh Board

IMPORTANT

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

A ray of light passing through the point

(1, 2)

reflects on the

X -

axis at a point

A

and the reflected ray passes through the point

(5, 3)

. Find the coordinates of

A

.

MEDIUM

11th Andhra Pradesh Board

IMPORTANT

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

Find the in centre of the triangle whose vertices are

(1, \sqrt{3}), (2, 0)

and

(0, 0)

.

HARD

11th Andhra Pradesh Board

IMPORTANT

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

Find the orthocentre of the triangle whose sides are given by

x + y + 10 = 0, x - y - 2 = 0

and

2 x + y - 7 = 0

.

HARD

11th Andhra Pradesh Board

IMPORTANT

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

Find the orthocenter of the triangle whose sides are given by

4 x - 7 y + 10 = 0

,

x + y = 5

and

7 x + 4 y = 15

.

MEDIUM

11th Andhra Pradesh Board

IMPORTANT

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

Find the circumcenter of the triangle whose sides are

x = 1, y = 1

and

x + y = 1

.