Let `S^1 = 0` be the image or reflection of the curve `S=0` about the line mirror `L=0`. Suppos...
31 views · Published 12 October 2018 · 2:58 · Indexed 4 October 2026
Channel: Doubtnut · 2018 · Education
To ask Unlimited Maths doubts download Doubtnut from - https://goo.gl/9WZjCW Let `S^1 = 0` be the image or reflection of the curve `S=0` about the line mirror `L=0`. Suppose P be any point on the curve `S=0` and Q be the image about the line mirror L=0, then Q will lie on `S^1=0` . Let the given curve be `S : f(x, y)` line mirror L : ax + by + c = 0 . We take a point P on the given curve in parametric form. Suppose Q be the image or reflection of point P about line mirror L=0 which again contains the same = 0 and parameter. Let `Q(phi(t), psi(t))` where t is a parameter. Now let `x=phi(t)` and `y=psi(t)` Eliminating t, we get the equation of the reflected curve `S^1` .Then answer the following questions. The image of the parabola `x^2=4y` in the line x+y=a is
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