Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>EXERCISE 11.4>Q 37

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Keeping the origin fixed, the coordinate axes are rotated through an angle $θ$ . If the equation of the line $\frac{x}{a} + \frac{y}{b} = 1$ with respect to new axes is $\frac{x}{p} + \frac{y}{q} = 1$ , then

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Important Questions on Straight Lines

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Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>EXERCISE 11.4>Q 38

The equation of the lines through the origin and which are perpendicular to the pair of straight lines

x^{2} - 3 x y + 2 y^{2} = 0

is

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Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>EXERCISE 11.4>Q 39

The value of

h

for which

3 x^{2} - 2 h x y + 4 y^{2} = 0

represents a pair of coincident lines are

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Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>Assignment>Q 1

Find the inclination of the line

x - y + 3 = 0

with the positive direction of

x -

axis.

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Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>Assignment>Q 2

Find the angle between the lines joining the points

(3, - 1) & (2, 3) &

the points

(5, 2)

and

(9, 3)

.

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Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>Assignment>Q 3

Show that the line

5 x - 2 y - 1 = 0

is mid-parallel to the lines

5 x - 2 y + 7 = 0

and

5 x - 2 y - 9 = 0

.

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Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>Assignment>Q 4

If the lines

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

and

3 x - y - 2 = 0

are concurrent, find the value of

k .

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Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>Assignment>Q 5

Name the figure formed by the lines

a x \pm b y \pm c = 0

.

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Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>Assignment>Q 6

Find the equation of line passing through origin and equally inclined to positive

y -

axis and negative

x -

axis.