Home
Class 12
MATHS
If F1 and F2 are the feet of the per...

If `F_1` and `F_2` are the feet of the perpendiculars from the foci `S_1a n dS_2` of the ellipse `(x^2)/(25)+(y^2)/(16)=1` on the tangent at any point `P` on the ellipse, then prove that `S_1F_1+S_2F_2geq8.`

A

`S_(1)F_(1)+S_(2)F_(2) ge 2`

B

`S_(1)F_(1)+S_(2)F_(2) ge 3`

C

`S_(1)F_(1)+S_(2)F_(2) ge 6`

D

`S_(1)F_(1)+S_(2)F_(2) ge 8`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    VK JAISWAL ENGLISH|Exercise Exercise-2 : Comprehension Type Problems|5 Videos

  • ELLIPSE

    VK JAISWAL ENGLISH|Exercise Exercise-4 : Subjective Type Problems|2 Videos

  • DIFFERENTIAL EQUATIONS

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|6 Videos

  • FUNCTION

    VK JAISWAL ENGLISH|Exercise SUBJECTIVE TYPE PROBLEMS|36 Videos

Similar Questions

Explore conceptually related problems

If F_1" and "F_2 be the feet of perpendicular from the foci S_1" and "S_2 of an ellipse (x^2)/(5)+(y^2)/(3)=1 on the tangent at any point P on the ellipse then (S_1F_1)*(S_2F_2) is

Let d_1a n dd_2 be the length of the perpendiculars drawn from the foci Sa n dS ' of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 to the tangent at any point P on the ellipse. Then, S P : S^(prime)P= d_1: d_2 (b) d_2: d_1 d1 2:d2 2 (d) sqrt(d_1):sqrt(d_2)

The locus of the foot of the perpendicular from the foci an any tangent to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 , is

Prove that the product of the perpendiculars from the foci upon any tangent to the ellipse x^2/a^2+y^2/b^2=1 is b^2

Prove that the product of the perpendiculars from the foci upon any tangent to the ellipse x^2/a^2+y^2/b^2=1 is b^2

The Foci of the ellipse (x^(2))/(16)+(y^(2))/(25)=1 are

Two perpendicular tangents drawn to the ellipse (x^2)/(25)+(y^2)/(16)=1 intersect on the curve.

The length of perpendicular from the foci S and S on any tangent to ellipse (x^(2))/(4)+(y^(2))/(9)=1 are a and c respectively then the value of ac is equal to

The distance from the foci of P (a, b) on the ellipse x^2/9+y^2/25=1 are

Let P be a variable on the ellipse (x^(2))/(25)+ (y^(2))/(16) =1 with foci at F_(1) and F_(2)