Home
Class 12
MATHS
The equation x^(3) - yx^(2) + x - y = 0...

The equation `x^(3) - yx^(2) + x - y = 0 ` represents

A

a hyperbola and two straight lines

B

a straight line

C

a parabola and two straight lines

D

a straight line and a circle

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise JEE Main (AIEEE) Archive (2012)|3 Videos
  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise JEE Main (AIEEE) Archive (2013)|4 Videos
  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise WBJEE Archive (2015)|5 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion - Reason Type)|2 Videos
  • DEFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMINATION ( ASSERTION-REASON TYPE )|2 Videos

Similar Questions

Explore conceptually related problems

Examine whether the equation x^(2) + y^(2) - x - 4y + 7 = 0 represents a circle.

The equation x^(2) + y^(2) + 2gx + 2fy + c = 0 represents a point-circle when -

the equation 2x^(2) + 5xy - 12 y^(2) = 0 represents a _

Show that the equation 9x^(2) - 16y^(2) - 18x - 64y - 199 = 0 represents the equation of a hyperbola, find the coordinates of its centre and foci and also the equations of its directrices

The equation y^(2) + 4x + 4y + k = 0 represents a parabola whose latus rectum is _

If the equation 2x^(2)+2hxy +6y^(2) - 4x +5y -6 = 0 represents a pair of straight lines, then the length of intercept on the x-axis cut by the lines is equal to

Examine, with reasons, the validity of the following statement : x^(2) + 4y^(2) + 2x - 24 y + 33 = 0 represents the equation of an ellipse whose eccentricity is (sqrt(3))/(2)

The equation x^(2)y^(2)-9y^(2)-6x^(2)y+54y=0 represents

Show that the equation 5x^(2) + 9y ^(2) - 10 x + 90 y + 185 = 0 represents an ellipse and find the equations of the directrices of this ellipse .

Show that the equation 9 x^2-16 y^2-18 x+32 y-151=0 represents a hyperbola. Find the coordinates of the centre .