CircleHard
Question
If 
2f(tx)dt = f(x) +1, where f(x) is non constant function, then y = f(x) represents -
2f(tx)dt = f(x) +1, where f(x) is non constant function, then y = f(x) represents -Options
A.family of parallel lines
B.family of lines with constant y intercept
C.family of circles centred at origin
D.family of circles with radius unity
Solution
2f(tx) dt = f(x) + 1put tx = z
⇒
2f(z)dz = x(f(x) + 1)⇒ 2f(x) = xf′(x) + f(x) + 1
xf′(x) = f(x) - 1
ln(f(x)- 1) = lnx + lnc
⇒ f(x) - 1 = cx ⇒ = cx + 1
Create a free account to view solution
View Solution FreeMore Circle Questions
If a circle of constant radius 3k passes through the origin ′O′ and meets co-ordinate axes at A and B then t...The intercepts made by the circle x2 + y2 _ 5x _ 13y _ 14 = 0 on the x-axis and y-axis are respectively...The tangent at any point to the circle x2 + y2 = r2 meets the coordinate axes at A and B. If lines drawn parallel to the...The area of the triangle formed by the tangents from the points (h, k) to the circle x2 + y2 = a2 and the line joining t...Equation of circle touching the lines |x| + |y| = 4 is -...