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Maths-

General

Easy

Question

The line y = 2x + c is a tangent to the parabola y² = 16 x, if c equals

– 2
– 1
0
2

The correct answer is: 2

line y = 2x + c
Parabola y² = 16x
Comparing with y² = 4ax
4a = 16 $rightwards double arrow$ a = 4
Condition of tangency c = $fraction numerator a over denominator m end fraction$ , c = $fraction numerator 4 over denominator 2 end fraction$ = 2

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