SOLUTION: Find the value(s) of k such that the graph of the equation k(x^2+y^2 )+x^2-y^2+x+y=0 is a parabola an ellipse a hyperbola a pair of intersecting lines

Question 1195159: Find the value(s) of k such that the graph of the equation k(x^2+y^2 )+x^2-y^2+x+y=0 is
a parabola
an ellipse
a hyperbola
a pair of intersecting lines

Answer by josgarithmetic(39621) (Show Source): You can put this solution on YOUR website!
k(x^2+y^2 )+x^2-y^2+x+y=0
kx^2+ky^2+x^2-y^2+x+y=0
(k+1)x^2+(k-1)y^2+x+y=0
Check the expression

-
, and work with that. You can find reference information in your book in some online sources.
https://www.brainkart.com/article/Conic-Sections_39168/
https://www.varsitytutors.com/hotmath/hotmath_help/topics/conic-sections-and-standard-forms-of-equations
http://mathcentral.uregina.ca/QQ/database/QQ.09.06/h/robin2.html

For intersecting lines,

RELATED QUESTIONS
Find the value of k such that the graph of the equation k(x^2 + y^2) + x^2 - y^2 + x + y... (answered by solver91311)

Xx+yy=x+2. I need to decide if it is an ellipse, parabola, hyperbola, or a circle. Once I (answered by lwsshak3)

Write the equation in standard form. State whether the graph of the equation is a... (answered by lwsshak3)

Find the value(s) of k so that the graph of the equation y=|x+k|-2 has an x-intercept of... (answered by Fombitz)

4x^2 - y^2 = 16 is the equation of a/an... (answered by lwsshak3)

4x^2 - y^2 = 16 is the equation of a/an... (answered by Alan3354)

Given y = −3x^2 + kx − 12 for k > 0, find the value(s) of k such that y < 0 for all... (answered by MathLover1,ikleyn)

Find value(s) of k such that y=kx-3 is tangent to the parabola y=2x^2+... (answered by Edwin McCravy)