IGNOU MTE 1 2026 - ) Find the area between the curve and its asymptote paralle

Question

) Find the area between the curve $y^2(4 - x) = x^3$ and its asymptote parallel to y-axis.

09 Jan 2026

Answer :

Word Count : 332

We are asked to find the area between the curve (y^2(4 - x) = x^3) and its vertical asymptote. First, identify the asymptote. The curve is (y^2(4 - x) = x^3). A vertical asymptote occurs when the denominator of a fraction form goes to zero or (y \to \infty). Solving for (y^2): [ y^2 = \frac{x^3}{4 - x}. ] The denominator is (4 - x). As

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