find the equation of straight line passing through (2,3w) whose intercept on x axis is twice than on y axis
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Answer:
Consider given that,
Y-axis twice as long as that on the x-axis.
Then, let the points be (a,2a)
Now, we know that the equation of straight line is
a
x
+
b
y
=1
a
x
+
2a
y
=1
2x+y=2a ……. (1)
And given point (x,y)=(3,4) lies the line
Then,
2×3+4=2a
2a=10
a=5
By equation (1)
2x+y=2×5
2x+y=10
Or
5
x
+
10
y
=1
Hence, it is complete solution.
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