Question

If A(-2,1),B(2,3) and C(-2,-4) are three points then the angle between the straight lines AB and BC

Answer 1

ans tan-1

Let the slope of the line AB and BC are m

1

1

and m

2

2

respectively.

Then,

m1

1

=

3−1

2−(−2)

3−12−(−2)

=

2

4

24

= ½ and

m2

2

=

− 4 − 3

− 2 − 2

−4−3−2−2

=

7

4

74

Let θ be the angle between AB and BC. Then,

tan θ = |

m 2

−

m 1

1+

m 1

m 2

m2−m11+m1m2| = |

7

4

−

1

2

1+

7

4

⋅

1

2

74−121+74⋅12| = |

10

8

15

8

108158

|= ±

2

3

23

the theta is tan -1

Answer 2

Answer:

tan theta=(2/3)

Step-by-step explanation:

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