The angle between the lines represented by th | vedclass

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(D) The given equation is of the form $ax^2 + 2hxy + by^2 = 0$,where $a = \lambda$,$2h = (1 - \lambda)^2$,and $b = -\lambda$.For the lines to be perpe

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$90$

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(D) The given equation is of the form $ax^2 + 2hxy + by^2 = 0$,where $a = \lambda$,$2h = (1 - \lambda)^2$,and $b = -\lambda$.For the lines to be perpendicular,the condition is $a + b = 0$.Here,$a + b = \lambda + (-\lambda) = 0$.Since the sum of the coefficients of $x^2$ and $y^2$ is zero,the lines represented by the equation are perpendicular to each other.Therefore,the angle between the lines is $90^\circ$.

The angle between the lines represented by the equation $\lambda x^2 + (1 - \lambda)^2 xy - \lambda y^2 = 0$ is .....$^o$.

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