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

MEDIUM

11th Andhra Pradesh Board

IMPORTANT

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A straight line through $Q (2, 3)$ makes an angle $\frac{3 π}{4}$ with the negative direction of the $X -$ axis. If the straight line intersects the line $x + y - 7 = 0$ at $P,$ find the value of $k$ if distance $P Q = \sqrt{k}$ .

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Important Questions on The Straight Line

HARD

11th Andhra Pradesh Board

IMPORTANT

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

Show that the straight lines

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

and

x + 3 y - 4 = 0

form an isosceles triangle.

MEDIUM

11th Andhra Pradesh Board

IMPORTANT

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

Find the area of the triangle formed by the straight lines

2 x - y - 5 = 0, x - 5 y + 11 = 0

and

x + y - 1 = 0

.

EASY

11th Andhra Pradesh Board

IMPORTANT

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

Find the angle between the straight lines

y = 4 - 2 x

and

y = 3 x + 7

.

EASY

11th Andhra Pradesh Board

IMPORTANT

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

Find the angle between the straight lines

3 x + 5 y = 7

and

2 x - y + 4 = 0

.

EASY

11th Andhra Pradesh Board

IMPORTANT

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

Find the angle between the straight lines

y = - \sqrt{3} x + 5

and

y = \frac{1}{\sqrt{3}} x - \frac{2}{\sqrt{3}}

.

MEDIUM

11th Andhra Pradesh Board

IMPORTANT

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

Find the angle between the straight lines

a x + b y = a + b

and

a (x - y) + b (x + y) = 2 b

.

EASY

11th Andhra Pradesh Board

IMPORTANT

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

Find the length of the perpendicular drawn from the point

(- 2, - 3)

against the straight line

5 x - 2 y + 4 = 0

.

EASY

11th Andhra Pradesh Board

IMPORTANT

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

Find the length of the perpendicular drawn from the point

(3, 4)

against the straight line

3 x - 4 y + 10 = 0

. [Enter the value excluding units]