Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
COMEDK2016MathematicsEllipse

x=4(1+ ) and y=3(1+ ) are the parametric equations of

Options

  1. A(x-4)² 16 + (y-3)² 9 =1
  2. B(x-4)² 16 - (y-3)² 9 =1
  3. C(x+4)² 16 + (y+3)² 9 =1
  4. D(x-3)² 9 + (y-4)² 16 =1

Correct answer

A. (x-4)² 16 + (y-3)² 9 =1

Step-by-step solution

Given, x=4(1+ ) and y=3(1+ ) aligned & = x 4 -1= x-4 4 & and = y 3 -1= y-3 3 & ² + ² =1 & (x-4)² 16 + (y-3)² 9 =1 aligned

Practice Ellipse on Quantrex Academy →

More from Ellipse

The foci of a hyperbola are the same as those of the ellipse with equation 9x^2 + 16y^2 = 144 . If the length of the transverse axis of this hyperbola is 2 , then its equation is: 2026If the two ends of the major axis of an ellipse are (5, 0) and (-5, 0) and one focus lies on the line 3x - 5y - 9 = 0 , then its equation is 2026The length of the latus rectum of the curve represented by x = 3( t + t) and y = 4( t - t) is: 2026If P be any point on the ellipse 16x^2 + 25y^2 = 400 with foci S and S' and area of PSS' is 9 square units, then the abscissa of point P is........... 2026If is the eccentric angle of a point on the ellipse x^2 25 + y^2 9 = 1 such that the distance of the point from the center is 5 , then = ....... 2026The eccentricity of the ellipse represented by the equation 7x^2 + 16y^2 - 14x + 64y - 377 = 0 is... 2026A tangent having slope - 1 2 to the ellipse 3x^2 + 4y^2 = 12 intersects the X-axis and Y-axis at the points A and B respectively. if O is the origin, then the area of AOB is ... 2026If the eccentricity of the ellipse x^2 a^2 + y^2 b^2 = 1, (a > b) is 2 3 and its focal chord is 3x + 2y - 6 = 0 , then the value of a^2 + b^2 is... 2026 Full Ellipse list All COMEDK PYQs