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JEE Advanced Mathematics question

MathematicsParabolaJEE Advanced

Let be the equation of a parabola which is touched by the line at the point where . Then

Answer: (B),(D)

Solution

Since is a parabola (axis vertical), with . Touching at gives

f(1) = 1 ⇒ a + b + c = 1, f'(1) = 1 ⇒ 2a + b = 1.

Also , , . - (a) , ; equal only if , i.e. $a

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Question ID VK-109386