1.

Which of the following curve is represented by 2x^(2)+6xy+5y^(2)=1?

Answer»




Solution :Given EQUATION is
`2x^(2)+6xy+5y^(2)=1`
By putting - x for x and - y for y, the equation REMAINS same, therefore the curve is symmetric in opposite QUADRANTS.
Putting `x = 0, 5y^(2)=1`
`impliesy=pm(1)/(sqrt(5))`
Putting `y=0, 2x^(2)=1`
`implies y=pm(1)/(sqrt(2))`
Then the curve passes through the points `(pm(1)/(sqrt(2)),0)` and `(0,pm(1)/(sqrt(5)))`.
Thus, curve (c ) is the required curve.


Discussion

No Comment Found

Related InterviewSolutions