Home
Class 12
MATHS
An ellipse passes through the point (4,-...

An ellipse passes through the point `(4,-1)` and touches the line `x+4y-10=0` . Find its equation if its axes coincide with the coordinate axes.

A

`x^(2)+64y^(2)=80`

B

`x^(2)+4y^(2)=20`

C

`x^(2)+20y^(2)=100`

D

`x^(2)+8y^(2)=40`

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|15 Videos

  • ELLIPSE

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Integer Answer Type Questions)|9 Videos

  • ELLIPSE

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Option Correct Type Questions)|30 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

Similar Questions

Explore conceptually related problems

An ellipse passes through a focus of the hyperbola x^2/9 - y^2/16 = 1 and its major and minor axes coincide with the transverse and conjugate axes of the hyperbola and the product of eccentricities of ellipse and hyperbola is 1. Foci of the ellipse are (A) (+- 4, 0) (B) (+-3, 0) (C) (+-5, 0) (D) none of these

An ellipse passes through the point (2,3) and its axes along the coordinate axes, 3x +2y -1 = 0 is a tangent to the ellipse, then the equation of the ellipse is

The equation of the circle touching the coordinate axes the line x+2=0 is

Find the equations of the circles passing through the point (-4,3) and touching the lines x+y=2 and x-y=2

Find the equations of the circles passing through the point (-4,3) and touching the lines x+y=2 and x-y=2

If the foci of an ellipse are (0,+-1) and the minor axis is of unit length, then find the equation of the ellipse. The axes of ellipse are the coordinate axes.

If a line passing through the origin touches the circle (x-4)^2+(y+5)^2=25 , then find its slope.

Find the equation of a line passing through the point (2,3) and parallel to the line 3x-4y+5=0 .

Find the equations of the line which passes through the point (4,4) and the sum of its intercepts on the axes is 16 .

If a circle passes through the points where the lines 3kx- 2y-1 = 0 and 4x-3y + 2 = 0 meet the coordinate axes then k=