Question

A line with the inclination 4 5° drawn through point A( 4 ,- 5 )and coordinates of two points on this line which are at a distance of 3√2 units from the given points A are​

Answer 1

Step-by-step explanation:

If the line is inclined at angle 45

o

with the positive direction of the x-axis, i.e. the points are situated at angles θ=45

o

from x-axis at a distance r=3

2

from (4,−5)

The two points can be given by (x

0

±rcosθ,y±rsinθ)

The points are (4+3

2

cos45

o

,−5+3

2

sin45

o

)=(4+3

2

×

2

1

,−5+3

2

×

2

1

)=(7,−2)

and

(4−3

2

cos45

o

,−5−3

2

sin45

o

)=(4−3

2

×

2

1

,−5−3

2

×

2

1

)=(1,−8)

Thus, the points are (1,−8) & (7,−2)

Answer 2

Answer:

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