logo

Ask Questions, Get Answers

 
X
 Search
Want to ask us a question? Click here
Browse Questions
Ad
Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class11  >>  Coordinate Geometry
0 votes

The curve disturbed parametrically by $x=t^2+t+1\;y=t^2-t+1$ represents

$\begin{array}{1 1}(A)\;\text{a pair of straight line} \\(B)\;\text{an ellipse} \\ (C)\;\text{a parabola} \\(D)\;\text{a hyperbola} \end{array}$

Can you answer this question?
 
 

1 Answer

0 votes
$x=t^2+t+1$
$y=t^2-t+1$
Eliminate the parameter t from (1) as follows
$x-y=2t$
$x= \bigg(\large\frac{x-y}{2}\bigg)^2+\bigg(\large\frac{x-y}{2} \bigg)$$+1$
=> $4x=(x-y)^2+2x-2y+4$
=> $ (x-y)^2=2(x+y-2)$
Hence it is parabola
Hence C is the correct answer.
answered Apr 10, 2014 by meena.p
 

Related questions

Ask Question
student study plans
x
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App
...