﻿ If F1 and F2 be the feet of the perpendicular from the foci S1and S2 of an ellipse  on the tangent at any point P on the ellipse, then (S1F1)(S2F2) is equal to    : Kaysons Education

# If F1 and F2 be The Feet Of The Perpendicular From The Foci S1and S2 of An Ellipse  on The Tangent At Any Point P on The Ellipse, Then (S1F1)(S2F2) Is Equal To

#### Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

#### Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

#### National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

#### Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

#### Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

## Question

### Solution

Correct option is

3

We know that the product of perpendiculars from two foci of an ellipse upon any tangent is equal to the square of the semi-minor axis.

.

Testing

#### SIMILAR QUESTIONS

Q1

, then PF1 + PF2 equals

Q2

An ellipse slides between two perpendicular straight lines. Then, the locus of its centre is a/an

Q3

The sum of the squares of the perpendicular on any tangent to the ellipse  from two points on the minor axis, each at a distance  from the centre is

Q4

The eccentric angle of a point on the ellipse  whose distance from the centre of the ellipse is 2, is

Q5

If any tangent to the ellipse  intercepts equal length lon the axes, then =

Q6

The ellipse x2 + 4y2 = 4 is inscribed in a rectangle aligned with the coordinate axes, which in turn is inscribed in another ellipse that passes through the point (4, 0). Then, the equation of the ellipse is

Q7

A focus of an ellipse is at the origin. The directrix is the line  x = 4 and the eccentricity is 1/2. Then the length of the semi-major axis, is

Q8

In an ellipse, the distance between its foci is 6 and minor axis is 8. The eccentricity is

Q9

The tangent at a point  meets the auxiliany circle in two points. The chord joining them subtends a right angle at the centre. Then, the eccentricity of the ellipse is given by

Q10

The area of the rectangle formed by the perpendiculars from the centre of the ellipse to the tangent and normal at the point-whose eccentric angle is , is