The tangent at 'p' on the ellipse (x^(2)...

The tangent at 'p' on the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` cuts the major axis in T and PN is the perpendicular to the x-axis, C being centre then CN.CT =

`a^(2)`

`b^2`

`2a^(2)`

`2b^(2)`

Text Solution

Verified by Experts

Topper's Solved these Questions

ELLIPSE
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|24 Videos
ELLIPSE
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 1|2 Videos
ELLIPSE
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 2|1 Videos
EAMCET - 2016 TS
DIPTI PUBLICATION ( AP EAMET)|Exercise Questions|80 Videos
EXPONENTIAL SERIES & LOGARITHMIC SERIES (APPENDIX-1)
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|5 Videos

Similar Questions

Explore conceptually related problems

P is a variable point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 with AA as the major axis. Then the maximum value of the area of triangle APA' is

The normal at a point P on the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1(a gt b) meets the axis in M and N so that (PM)/(PN)=2/3 . Then the value of eccentricity is

Assertion (A) If the tangent and normal to the ellipse 9x^(2)+16y^(2)=144 at the point P(pi/3) on it meet the major axis in Q and R respectively, then QR=(57)/(8) . Reason (R) If the tangent and normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))= at the point P(theta) on it meet the major axis in Q and R respectively, then QR=|(a^(2)sin^(2)theta-b^(2)cos^(2)theta)/(a cos theta)| The correct answer is

C is the centre of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) = 1 and L is an end of a latusrectum. If the normal at L meets the major axis at G then CG =

The length of the major axis of the ellipse (x-3)^(2)/4+(y-2)^(2)/9=1 is

The equation of the major axis of the ellipse (x-1)^(2)/(9)+(y-6)^(2)/(4)=1 is

Tangents are drawn to the ellipse (x^(2))/(a^(2)) +(y^(2))/( b^(2)) =a+ b at the points where it is cut by the line (x)/(a^(2)) cos theta - ( y)/(b^(2)) sin theta =1 , then the point of intersection of Tangents

The tangent at a point P(theta) to the ellipse x^2/a^2+y^2/b^2=1 cuts the auxilliary circle at Q and R. If QR subtend a right angle at C (centre) then show that e=1/sqrt(1+sin^2 theta)

DIPTI PUBLICATION ( AP EAMET)-ELLIPSE-EXERCISE 1A

The parametric representation (2+t^(2),2t+1) represents
Text Solution
|
The points on the ellipse 2x^(2)+3y^(2)=6 whose eccentric angles diffe...
Text Solution
|
The equation of the tangent at a point theta=3pi//4 to the ellipse x^(...
Text Solution
|
The equation of the normal to the ellipse x^(2)//16+y^(2)//9=1 at the...
Text Solution
|
If x/a+y/b=sqrt(2) touches the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1, then...
Text Solution
|
The distance of a point on the ellipse x^(2)//6+y^(2)//2=1 from the ce...
Text Solution
|
The eccentric angles of the extremities of latusrecta of the ellipse x...
Text Solution
|
The tangent and normal to the ellipse 4x^(2)+9y^(2)=36 at a point P on...
Text Solution
|
If alpha and beta are the eccentric angles of the ends of a focal chor...
Text Solution
|
The tangent at a point P(acos theta,bsin theta) on the ellipse (x^(2))...
Text Solution
|
The locus of the foot of perpandicular drawn from the centre of the e...
Text Solution
|
If P is a point on the ellipse of eccentricity e and A, A 1 are the ve...
Text Solution
|
P(theta) and D(pi/2+theta) are two points on the ellipse x^2/a^2+y^2/b...
Text Solution
|
P(theta) and D(pi/2+theta) are two points on the ellipse x^2/a^2+y^2/b...
Text Solution
|
The maximum number of normals that can be drawn from any point to an e...
Text Solution
|
The condition that the line lx + my + n= 0 to be a normal to the ellip...
Text Solution
|
The normal at a poitn P( theta) on the ellipse 5x^(2) +14y^(2) =70 ...
Text Solution
|
If the normal at theta on the hyperbola x^(2)//a^(2)-y^(2)//b^(2)=1 me...
Text Solution
|
The tangent at a point P(acos theta,bsin theta) on the ellipse (x^(2))...
Text Solution
|
The tangent at 'p' on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 cu...
Text Solution
|