. If the line 3x+4y=\sqrt{7 } touches the ellipse 3x\power{2}+4y\power{2}=1, then find the point of contact. b. Find the points on the ellipse \frac{x\power{2}|a\power{2}}+\frac{y\power{2}|b\power{2}}=1 such that the tangent at each point makes equal angles with the axes. An ellipse passes through the point (4,-1) and touches the line x+4y-10=0 Find its equation if its axes coincide with the coordinate axes.

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