Home
Class 12
MATHS
An ellipse whose distance between foci ...

An ellipse whose distance between foci `S and S'` is 4 units is inscribed in the `DeltaABC` touching thesides `AB, AC and BC at P, Q and R`. If centre of ellipse is at origin and major axis along x-axis `SP + S'P = 6`, then

A

`9x^(2)+5y^(2)=45`

B

`4x^(2)+9y^(2)=46`

C

`5x^(2)+9y^(2)=45`

D

`9x^(2)+4y^(2)=36`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

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

    ARIHANT MATHS|Exercise Ellipse Exercise 5: Matching Type Questions|3 Videos
  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos
  • ESSENTIAL MATHEMATICAL TOOLS

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

Similar Questions

Explore conceptually related problems

An ellipse whose distance between foci S and S' is 4 units is inscribed in the triangleABC touching the sides AB,AC and BC at P,Q and R, respectively. If centre of ellipse is at origin and major axis along X-axis, SP+S'P=6 Q. Equation of the ellipse is

An ellipse whose distance between foci S and S' is 4 units is inscribed in the triangleABC touching the sides AB,AC and BC at P,Q and R, respectively. If centre of ellipse is at origin and major axis along X-axis, SP+S'P=6 Q. Equation of the ellipse is

An ellipse is drawn by taking a diameter of the circle (x-1)^2+y^2=1 as its semi-minor axis and a diameter of the circle x^2+(y-2)^2=4 as its semi-major axis. If the centre of the ellipse is the origin and its axes are the coordinate axes, then the equation of the ellipse is (1) 4x^2+""y^2=""4 (2) x^2+""4y^2=""8 (3) 4x^2+""y^2=""8 (4) x^2+""4y^2=""16

Circle(s) touching x-axis at a distance 3 from the origin and having an intercept of length 2sqrt7 on y-axis is (are)

A circle has the same center as an ellipse and passes through the foci F_1a n dF_2 of the ellipse, such that the two curves intersect at four points. Let P be any one of their point of intersection. If the major axis of the ellipse is 17 and the area of triangle P F_1F_2 is 30, then the distance between the foci is

A vessel ABCD of 10 cm width has two small slits S_(1) and S_(2) sealed with idebtical glass plates of equal thickness. The distance between the slits is 0.8 mm. POQ is the line perpendicular to the plane AB and passing through O, the middle point of S_(1) and S_(2) . A monochromatic light source is kept at S, 40 cm below P and 2 m from the vessel, to illuminate the slits as shown in the figure. Calculate the position of the central bright fringe on the other wall CD with respect of the line OQ. Now, a liquid is poured into the vessel and filled up to OQ. The central bright fringe is fiund to be at Q. Calculate the refractive index of the liquid.

Find the equation of the ellipse with e=3/4 , foci on y-axis, centre at the origin, and passing through the point (6, 4).

In the following,find the equation for the ellipse that satisfies the given conditions: b = 3, c = 4, centre at the origin, foci on the x axis.

ABCD is a quadrilateral in which P,Q,R and S are the mid points of sides AB,BC,CD and DA respectively AC is a diagonal show that: PQRS is a parallelogram.

Let P be a variable point on the ellipse x^(2)/25 + y^(2)/16 = 1 with foci at S and S'. If A be the area of triangle PSS' then the maximum value of A, is