Latest Capgemini Aptitude Question SOLUTION: Consider the following two curves in the X-Y plane y=(x3+x2+5) y=(x2+x+5) Which of the following statements is true for -2<= x <=2?

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Consider the following two curves in the X-Y plane y=(x3+x2+5) y=(x2+x+5) Which of the following statements is true for -2<= x <=2?

Asked In Capgemini Natarajan (7 years ago)

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TEJASWI  (7 years ago)

The correct question is
Consider the following two curves in the x-y plane:
y = x^3 + x^2 + 5
y = x^2 + x + 5
Which of the following statements is true for -2 < x < 2?

a) The two curves intersect once
b) The two curves intersect twice
c) The two curves do not intersect
d) The two curves intersect thrice
e) None of the above

here x^3 + x^2 + 5 = x^2 + x + 5
=> x^3 - x = 0
Factor: x(x^2 - 1) = 0
Factor: x(x+1)(x-1) = 0
x= -1, 0, 1
Three points of intersection (D)

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Ashwini  (7 years ago)

@Natarajan plz send all questions asked in capgemini

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nikhil  (7 years ago)

two curves intersect thrice since x^3=x ,x=0,1,-1

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amrita lodhi  (7 years ago)

given planes intersect each other 3 times at -1,0,1.

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Pritam  (7 years ago)

where are the options?

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mounica  (7 years ago)

I can't understand the ans so plz give a clear discription

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swapna  (7 years ago)

Mr.Natarajan sir please send all questions that are asked in capgemini to my mail sir... i have exam on 13th .My mail id is raspberry.swapna@gmail.com

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Anil  (7 years ago)

the two curves intersect thrice b/w -2

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Sooraj  (6 years ago)

Sir, please send me all Questions to Surajdhokre94@gmail.com

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