Question

• Find the angle between the following straight lines. 1)y = 4 - 2x, y = 3x + 7 , 2) 3x + 5y = 7, 2x - y +4 = 0 3)y = - 3x + 5, y =1/✓3x -2/✓3 4)ax + by = a + b, a (x - y) + b(x + y) = 2b​

Answer 1

Answer:

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Class 11

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>>Angle between two lines

>>The angle between the lines...

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The angle between the lines 3x+y−7=0 and x+2y+9=0 is

Medium

Solution

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Correct option is

D

4

π

3x+y−7=0 and x+2y+9=0

write in the form y=mx+c

i.e.y=−3x+7,y=

2

−x

−

2

9

∴m

1

=−3 and m

2

∓−

2

1

tan(A−B)=

∣

∣

∣

∣

∣

1+tanAtanB

tanA−tanB

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

1+(−3)(−y

2

)

−3−(−y

2

)

∣

∣

∣

∣

∣

=

∣

∣

∣

∣

∣

5/2

−5/2

∣

∣

∣

∣

∣

=1

∴ Angle b/w then is tan

−1

(1)=45

∘

=

4

π

Step-by-step explanation:

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