Question

if the midpoints of the longest side of the triangle formed by the line 4x+3y= 12 , x=0 , y=0 is ( 3sinalpha, 4cosBita), then cot(3alpha-bita) is​

Answer 1

Step-by-step explanation:

ANSWER

Equation :- 4x+3y=12

When the graph cuts x-axis, y coordinate becomes zero.

⇒4x+3(0)=12

⇒4x=12

⇒x=3

Similarly, when the graph cuts the y-axis, x coordinate is zero.

⇒4(0)+3y=12

⇒3y=12

⇒y=4

If OA=3units

OB=4units

By Pythagoras theorem

(AB)

2

=(OA)

2

+(OB)

2

=(3)

2

+(4)

2

=9+16

=25

=

25

⇒AB=5units

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