Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA2018MathematicsEllipseActual

The second degree equation x^2+4 y-2 x-4 y+2=0 represents

Options

  1. AA point
  2. BAn ellipse of semi-major axis 1
  3. CAn ellipse with eccentricity 3 2
  4. DNone of the above

Correct answer

A. A point

Step-by-step solution

array ll & (x^2-2 x+1 )+ (4 y^2-4 y+1 )=0 & (x-1)^2+(2 y-1)^2=0 & x=1, y= 1 2 array It is a point.

Practice Ellipse on Quantrex Academy →

More from Ellipse

Passage: The foci of the ellipse px^2+16y^2=16p and the foci of the hyperbola 25(81x^2-144y^2)=11664 coincide (assume p Question: What is the value of p ? 2026Passage: The foci of the ellipse px^2+16y^2=16p and the foci of the hyperbola 25(81x^2-144y^2)=11664 coincide (assume p Question: What is the difference between the eccentricities 2026If any point on an ellipse is (3 , 5 ) , then what is the eccentricity of the ellipse? 2025The foci of the ellipse 4 x^2+9 y^2=1 are at Q and R . If P (x, y) is any point on the ellipse, then what is PQ + PR equal to? 2024What is the eccentricity of the ellipse if the angle between the straight lines joining the foci to an extremity of the minor axis is 90^ ? 2024Paragraph: Consider the following for the next two (02) items that follow: P (x, y) is any point on the ellipse x^2+4 y^2=1 . Let E, F be the foci of the ellipse. Question: What is 2023Given that 4 x^2+y^2=9 What is the maximum value of y? 2023Consider the following in respect of the equation x^2 24-k + y^2 k-16 =2 1. The equation represents an ellipse if k =19 . 2. The equation represents a hyperbola if k =12 3. The equ 2023 Full Ellipse list All NDA PYQs