Home
Class 12
MATHS
An ellipse E has its center C(3,1), focu...

An ellipse E has its center C(3,1), focus at (3,6) and passing through the point P(7,4) Q. The product of the lengths of the prependicular segeent from the focii on tangent at point P is

A

`e_1=3/sqrt5`

B

`e_1=sqrt5/3`

C

`e_1=3/sqrt10`

D

`e_1=sqrt10/3`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

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

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

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|15 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 has its centre C(1,3) focus at S( 6, 3) and passing through the point P(4, 7) then The product of the lengths of perpendicular segments from the focii on tangent at point P is

An ellipse has its centre C(1,3) focus at S( 6, 3) and passing through the point P(4, 7) then If the normal at a variable point on the ellipse meets its axes in Q and R then the locus of the mid-point of QR is a conic with an eccentricity (e') then

The equation of the ellipse with its centre at (1, 2) , one focus at (6, 2) and passing through the point (4, 6) is-

The locus of the foot of prependicular drawn from the center of the ellipse x^(2)+3y^(2)=6 on any tangent to it is

An ellipse has a centre at (1-1), and semimajor axis =8 and which passes through the point (1,3) . If the major axis is parallel to x-axis then the length of its latus rectum then find (t)/(4) .

If an ellipse passes through the point P(-3, 3) and it has vertices at (+-6, 0) , then the equation of the normal to it at P is:

If a straight line passing through the point P(-3,4) is such that its intercepted portion between the coordinate axes is bisected a P, then its equation is

Find equation of plane passing through the points P(1, 1, 1), Q(3, -1, 2) and R(-3, 5, -4) .

Find the equation of a line passing through the points (7, -3) and (2, -2) . If this line meets x-axis at point P and y-axis at point Q, find the co-ordinates of points P and Q.

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