Consider the ellipse x^2/3 + y^2/1 = 1. ...

Consider the ellipse `x^2/3 + y^2/1 = 1`. Let P,Q,R,S be four points on the ellipse such that the normal drawn from these points are con current at (2,2) then the centre of the conic on which these 4 points lie is

P,Q,R,S lie only on the given ellipse and on no other conic

`(3,-1)`

`(3,1)`

`(0,0)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

MATHEMATICS
FIITJEE|Exercise OBJECTIVE|84 Videos
MATHEMATICS
FIITJEE|Exercise ASSERTION REASONING|8 Videos
MATHEMATICS
FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|15 Videos
MATHEMATICAL REASONING
FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-2|18 Videos
MATHEMATICS TIPS
FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos

Similar Questions

Explore conceptually related problems

Consider the ellipse (x^(2))/(3)+(y^(2))/(1)=1. Let PO,R.S be four points on the ellipse such that the normal drawn from these points are con current at (2,2) then the centre of the conic on which these 4points lie is

Given the ellipse (x ^(2))/(4) +y ^(2) =1, the point on the line x =2, such that the tangents drawn from the point to the ellipse are at 45^(@), is

Number of points on the ellipse x^2/a^2+y^2/b^2=1 at which the normal to the ellipse passes through at least one of the foci of the ellipse is

If the distance of a point on the ellipse (x^(2))/(6) + (y^(2))/(2) = 1 from the centre is 2, then the eccentric angle of the point, is

For the ellipse (x^(2))/(4) + (y^(2))/(3) = 1 , the ends of the two latus rectum are the four points

The straight line (x)/(4)+(y)/(3)=1 intersects the ellipse (x^(2))/(16)+(y^(2))/(9)=1 at two points A and B there is a point P on this ellipse such that the area of Delta PAB is equal to 6(sqrt(2)-1) . Then the number of such point (P) is/are (A) 4 (B) 1 (C) 2 (D) 3

If normals are drawn to the ellipse x^(2)+2y^(2)=2 from the point (2,3). then the co-normal points lie on the curve

The distance of a point on the ellipse (x^(2))/(6)+(y^(2))/(2)=1 from the centre is 2 Then the eccentric angle of the point is

Number of points on the ellipse x^2/25+y^2/7=1 whose distance from the centre of the ellipse is 2sqrt7 is

FIITJEE-MATHEMATICS -ASSIGNMENT (SECTION(I) MCQ(SINGLE CORRECT)

If the line x + y -1=0 is a tangent to a parabola with focus (1,2) at ...
Text Solution
|
P is a point on the parabola y^2= 4ax and PQ is its focal chord. If PT...
Text Solution
|
Let A be the area between co-ordinate axis, y ^(2) =x -1,x ^(2) =y -1 ...
Text Solution
|
An ellipse has point (1,-1)a n d(2,-1) as its foci and x+y-5=0 as one ...
Text Solution
|
Consider the ellipse x^2/3 + y^2/1 = 1. Let P,Q,R,S be four points on ...
Text Solution
|
If the curve (x ^(2))/(a ^(2)) + ( y ^(2))/(k^(2) a ^(2)) =1 and (x -g...
Text Solution
|
If [sin^-1x]+[cos^-1x]=0, where 'x' is a non negative real number and ...
Text Solution
|
If (sqrt2 cos x + sqrt2 sin x + sqrt7) m =1 holds then
Text Solution
|
sin x + cos x = y ^(2) -y + a has no value of x for any y if 'a' belon...
Text Solution
|
The solution set of inequality (tan^(-1)x)(cot^(-1)x)-(tan^(-1)x)(1+...
Text Solution
|
An electric pole stands at the vertex A of the equilateral triangular ...
Text Solution
|
A pole on the ground leans 60^(@) to the vertical. At a point a meters...
Text Solution
|
A 10 meters high tower is standing at the center of an equilateral tri...
Text Solution
|
A spherical baloon of radius 50 cm, subtends an angle of 60^(@) at a m...
Text Solution
|
PQ is a post of height a, AB is a tower of height h at a distance x fr...
Text Solution
|
For each n in N, the correct statement is
Text Solution
|
If P (n) = 2 + 4 + 6+…+ 2n, n in N then P(k) = k (k +1) + 2 implies P...
Text Solution
|
For every positive integral value of n, 3 ^(n) gt n^(3) when
Text Solution
|
For a positive integer n let a(n)=1+1/2+1/3+1/4+1/((2^n)-1)dot Then a(...
Text Solution
|
The value of the natural numbers n such that 2 ^(n) gt 2n +1 is valid...
Text Solution
|