3x - 4y = 12 সমীকরণদ্বারা উৎপন্ন লেখচিত্রের অক্ষদ্বয় দ্বারা ছেদিতাংশের দৈর্ঘ্য
a) 3 একক b) 4 একক c) 7 একক d) 5 একক
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Step-by-step explanation:
Correct option is
B
A=(−4,0),B=(0,3),AB=5
As the point A lies on the x - axis, its y coordinate =0.
To find the co-ordinates of the point A, substitute y=0 in the equation of the line 3x−4y+12=0.
Hence, 3x−4(0)+12=0.
=>3x=−12
=>x=−4
So, point A =(−4,0)
Similarly, as the point B lies on the y - axis, its x coordinate =0.
To find the co-ordinates of the point B, substitute x=0 in the equation of the line 3x−4y+12=0.
Hence, 3(0)−4y+12=0.
=>4y=12
=>y=3
So, point B =(0,3)
Formula to calculate distance between two points (x
1
,y
1
) and (x
2
,y
2
)=
(x
2
−x
1
)
2
+(y
2
−y
1
)
2
So, length of AB=
(0−(−4))
2
+(3−0)
2
=
16+9
=
25
=5
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