the area of triangle formed by 3x+4y=a (a>0) with coordinate axes is 1, then a =
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Triangle is formed by x= 0, which is Y axis.
y = 0, which is X axis. &hypotenuse is 3x+4y = a
Here, in the above equation 3x+4y=a
at y= 0, x = a/3 = base of the triangle
& at x= 0 , y = a/4 = altitude of the triangle
Area( tri) = 1/2 * a/3 * a/4 = 6
=> a² = 6 * 6 * 4
=> a = 6 * 2
=> a = 12
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Answer:
the value of a is 2√3 the answer
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