If tangents are drawn from any point on ...

If tangents are drawn from any point on the circle `x^(2)+y^(2)=25` to the ellipse `x^(2)/16+y^(2)/9=1` then the angle between the tangents is

`pi/4`

`pi/3`

`pi/2`

`2pi/3`

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

If tangents are drawn from any point on the circle x^(2)+y^(2)=25 to the ellipse (x^(2))/(16)+(y^(2))/(9) = 1 the angle between the tangents is

From any point on the circle x^(2)+y^(2)=a^(2) tangent are drawn to the circle x^(2)+y^(2)=a^(2)sin^(2)theta . The angle between them is

From any point on the circle x^(2)+y^(2)=a^(2) tangents are drawn to the circle x^(2)+y^(2)=a^(2) sin^(2) theta . The angle between them is

If the tangents drawn from a point on the hyperola x^(2)-y^(2)=a^(2)-b^(2) to the ellipse x^(2)/a^(2)-y^(2)/b^(2)=1 makes angles alpha and beta with transverse axis of the hyperbola, then

From any point on the circle x^(2)+y^(2)+2gx+2fy+c=0 tangents are drawn to the circle x^(2)+y^(2)+2gx+2fy+c sin^(2) alpha +(g^(2)+f) cos^(2) alpha=0 . The angle between the tangents is

Tangents are drawn from points on the hyperbola x^(2)/9-y^(2)/4=1 to the circle x^(2)+y^(2)=9 . Then show that the locus of the mid point of the chord of contact is (x^(2)+y^(2))^(2)=81 (x^(2)/9-y^(2)/4)

A common tangent to the circle x^(2) +y^(2) =16 and an ellipse (x^(2) )/( 49) +(y^(2))/( 4) = 1 is

The equation of the tangents to the circle x^(2)+y^(2)=25 with slope 2 is

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

The locus of the point of intersection of the perpendicular tangents t...
Text Solution
|
The locus of the point of intersection of two tangents to the ellipse ...
Text Solution
|
If tangents are drawn from any point on the circle x^(2)+y^(2)=25 to t...
Text Solution
|
The product of the perpendiculars from the foci on any tangent to the...
Text Solution
|
If F(1), F(2), F(3) be the feet of the perpendicular from the foci S(1...
Text Solution
|
Perpendiculars are drawn from the points (0, pm ae) on any tangent to ...
Text Solution
|
The sum of the squares of the perpendiculars on any tangent to the ell...
Text Solution
|
Let d and d^(') be the perpendicular distances from the foci of an ell...
Text Solution
|
Tangents to the ellipse x^(2)//a^(2)+y^(2)//b^(2)=1 make angles theta(...
Text Solution
|
The tangent to x^(2)//a^(2)+y^(2)//b^(2)=1 meets the major and minor a...
Text Solution
|
S (3, 4) and S^(') (9, 12) are the focii of an ellipse and the foot of...
Text Solution
|
The locus of the foot of the perpendicular drawn from the centre of th...
Text Solution
|
The area (in sq . Unit ) of the quadrilateral formed by the tangents a...
Text Solution
|
C is the centre of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) = 1 and...
Text Solution
|
If the normal at the end of latus rectum of an ellipse x^(2)//a^(2)+y^...
Text Solution
|
The slope of a common tangent to the ellipse x^(2)//a^(2)+y^(2)//b^(2)...
Text Solution
|
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
|