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# Point P lies on y=X^2−1 and Point Q lies on y=−X^2

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Point P lies on y=X^2−1 and Point Q lies on y=−X^2 [#permalink]  03 Dec 2018, 23:13
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Question Stats:

66% (00:00) correct 33% (01:01) wrong based on 3 sessions
Point P lies on $$y=X^2−1$$ and Point Q lies on $$y=−X^2+1$$

 Quantity A Quantity B minimum y coordinate value of Point P maximum y coordinate value of Point Q

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given

[Reveal] Spoiler:
Ans - B

Last edited by Arun1992 on 05 Dec 2018, 09:29, edited 1 time in total.
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Re: Point P lies on y=X^2−1 and Point Q lies on y=−X^2 [#permalink]  05 Dec 2018, 08:34
when you analyze a quadratic eqn.
see the base of $$x^2$$ part of the eqn in the form $$ax^2$$ + $$bx$$ + $$c$$

For Point P $$x^2$$ has a +ve base while for Point Q $$x^2$$ has a -ve base
Therefore we can conclude that point is curved up i.e U shaped while Point Q is curved down i.e reverse of U shaped
This is all that is required to ans this question.

Since the U shaped part has a minimum y coordinate less than the maximum y coordinate of reverse U shaped graph.
option B should be the ans

_________________

This is my response to the question and may be incorrect. Feel free to rectify any mistakes

Re: Point P lies on y=X^2−1 and Point Q lies on y=−X^2   [#permalink] 05 Dec 2018, 08:34
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