Mathematics - Parabola Question with Solution | TestHub

MathematicsParabolaGeneralHard3 minQB

MathematicsHardmultiple choice

Let $y = f (x)$ be a parabola with horizontal directrix. If $f (0)^{2} + f (1)^{2} + f (2)^{2} + 45 = 10 f (0) + 8 f (1) + 4 f (2)$ , which are true?

Answer:

A, D

Solution:

The condition is $(f (0) - 5)^{2} + (f (1) - 4)^{2} + (f (2) - 2)^{2} = 0$ . Hence $f (x) = - x^{2} /2 - x /2 + 5$ , with vertex $(- 1/2, 41/8)$ .

Stream:JEESubject:MathematicsTopic:ParabolaSubtopic:General

⏱ 3mℹ️ Source: QB

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