Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>EXERCISE 11.2>Q 19

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If $3 x + 2 y - 6 = 0$ is written in normal form then, $α$ is equal to

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Important Questions on Straight Lines

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Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>EXERCISE 11.3>Q 21

The equation of the line with slope

\frac{- 3}{2}

and which is concurrent with the lines

4 x + 3 y - 7 = 0

and

8 x + 5 y - 1 = 0

is

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Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>EXERCISE 11.3>Q 22

The equations of the sides of a triangle are

x = 0, y = m_{1} x + c_{1}

and

y = m_{2} x + c_{2}

. The area of the triangle is

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Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>EXERCISE 11.3>Q 23

If the lines

x + 2 a y + a = 0, x + 3 b y + b = 0

and

x + 4 c y + c = 0

are concurrent, then

a, b

and

c

are in

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Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>EXERCISE 11.3>Q 24

If

(a, a^{2})

falls inside the angle made by the lines

y = \frac{x}{2}, x > 0

and

y = 3 x, x > 0,

then

a

belongs to

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Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>EXERCISE 11.3>Q 25

Let

P = (- 1, 0), Q = (0, 0)

and

R = (\sqrt{3}, 3)

be three points. The equation of the bisector of angle

P Q R

is

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Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>EXERCISE 11.3>Q 26

The line

L

given by

\frac{x}{5} + \frac{y}{b} = 1

passes through the point

(13, 32)

. The line

K

is parallel to

L

and its equation is

\frac{x}{c} + \frac{y}{3} = 1

. Then, the distance between

L

and

K

is

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Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>EXERCISE 11.3>Q 27

The area bounded by the curves

x + 2 | y | = 1

and

x = 0

, is

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Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>EXERCISE 11.3>Q 28

A ray of light travelling along the line

x + \sqrt{3} y = 5

is incident on the

x -

axis and after refraction it enters the other side of the

x -

axis by turning

\frac{π}{6}

away from the

x -

axis. The equation of the line along which the refracted ray travels is