Q1.If the normals of the
parabola y2 = 4x drawn at the end points of its latus
rectum are tangents to the circle (x − 3)2 + ( y + 2)2
= r 2 , then the value of r 2 is
Q3.The ellipse E1 : is inscribed in a rectangle
R whose sides are parallel to the coordinate axes. Another ellipse E2
passing through the point (0, 4) circumscribes the rectangleR . The eccentricity of the ellipse is
Q6.Let C be the circle
with centre at (1,1) and radius = 1 . If T is the circle centered at (0,
y) passing through the origin and touching the circle C externally,
then the radius of T is equal to
Q7.Consider an ellipse whose
centre is of the origin and its major axis is along x-axis. If its
eccentrcity is 3/5 and the distance between its foci is 6, then the area of the
quadrilateral inscribed in the ellipse with diagonals as major and minor axis
of the ellipse is