Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Calculus of Variations Euler-lagrange Equation
The curve eternizing the functional \(I(y)=\int_1^2 \frac{\sqrt{1+\left(y^{\prime}(x)\right)^2}}{x} d x\) y(1) = 0, y(2) = 1 is
1
an ellipse
2
a parabola
3
a circle
4
a straight line
5
Question Not Attempted