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NDA Math Conic Section

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Consider the following for the next two (02) items that follow:
Consider the parabola y=x2+7x+2 and the straight line y=3x−3

[NDA II 2016]

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Question : 26

Total: 34

What is the shortest distance from the above point on the parabola to the line?

√10
2
√10
5
1
√10
√5
4

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