JEE Mains · Maths · STD 11 - 10.2 parabola,ellipse,hyperbola
Let the image of parabola \( x^{2}=4y \) in the line \( x-y=1 \) be \( (y+\alpha)^{2}=b(x-c), \) \( a, b, c \in \mathbb{N} \). Then \( a+b+c \) is equal to
- A 12
- B 4
- C 6
- D 8
Answer & Solution
Correct Answer
(C) 6
Step-by-step Solution
Detailed explanation
Parametric point P on \( x^2=4y \) is \( P(2t, t^2) \). ∴ mirror image of P in \(x - y =1\) is \(Q \equiv\left(2 t-\frac{2 \cdot 1 \cdot\left(2 t-t^2-1\right)}{2}, t^2+\frac{2 \cdot 2(1) \cdot\left(2 t-t^2-1\right)}{2}\right)\)…
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