Solved Question Papers - IIT JEE/MathsQP1996

IIT JEE MATHEMATICS QSN Let A={0,1,2,3,4,5,6,7,8,9} Exhibit the set B={X|X € A and x is even}& set C={X|2X € A }by listing memebers of B & C

Next qsn The angle between the pair of tangents drawn from a point P to a circle x^2+y^2+4x-6y+9sin^2 (A) +13cos^2 (A)=0 is 2A. Then the equation of locus of point P:

Next qsn An ellipse has excentricity 1/2 and one focus S (1/2,1). Its one directrix is common tangent (nearer to S) to circe x^2 +y^2=1 and x^2-y^2=1. Then equation of ellipse in standard form is_____