Question
The equation of the curve is(a) $y^{2}=x, x \in[0, \infty)$(b) $\mathrm{y}^{2}=2 \mathrm{x}, \mathrm{x} \in[0, \infty)$(c) $y^{2}=4 x, x \in[0, \infty)$(d) $x^{2}+y^{2}=1, x \in R$
Step 1
Let's denote this point as S. Also, we are given that a tangent at a point P on the curve meets the Y-axis at point A and the line $x = -1$ at point B. The normal at P meets the X-axis at point N. Show more…
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$\frac{d^{2} y}{d x^{2}}+\frac{d y}{d x}-2 y=0 ; \quad y(0)=2, y \rightarrow 0$ as $x \rightarrow \infty$
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