Locate the image of the point object O in the situation shown in figure. The point C denotes the centre of curvature of the separating surface

An ellipse has the point and as its foci and as one of its tangent then the coordinate of the point where this line touches the ellipse are

So, the point of contact of tangent to ellipse is .

The arrangement of the ellipses in ascending order of their eccentricities when is given, Where S & are foci& is one end of the minor axis A) B) C) D)

oints ollipse 3where the normals to it are perpendicular to are

is a greatest circle incribed in and Greatest Ellipse is incribed in c = 0 If the eccentricities of are equal then the minor axis of is

Two thin lenses of focal lengths 1 f and 2 f are in contact and coaxial. The combination is equivalent to a single lens of power

Methanol and acetone can be separated by:

Decreasing order of solubility of following compounds is:

Which of the following statement is correct about tropolone?

In which case first has higher solubility than second?
I) Phenol, Benzene
II) Nitrobenzene, Phenol
III) o–Hydroxybenzaldehyde, p–Hydroxy benzaldehyde
IV) CH₃CHO, CH₃–O–CH₃
V) o–Nitrophenol, p–Nitrophenol
VI) 

If and are the eccentric angles of the extremities of a focal chord of an ellipse, then the eccentricity of the ellipse is

The point is an interior point of the region bounded by the parabola and the double ordinate through the focus Then ‘a’ belongs to the open interval

Through the vertex ofthe parabola chords OP, OQ are drawn at right angles to each other If the locus of mid points of the chord PQ is a parabola then its vertex is

The area of the trapezium whose vertices lie on the parabola and its diagonals pass through and having length units each is

The Locus of centre of circle which touches given circle externally and the given line is

If the length of tangents from to the circles and are equal then