intersects the line3 m at two distinct points if ( ) < < m ( ) < < m ( ) − < < − m ( ) − < < m . The length of the diameter of the circle which touches the x -axis at the point ( , ) and passes through the point ( , ) . ( ) ( ) ( ) ( ) . The radius of the circle3 by bx by is ( ) ( ) ( ) ( ) .
The centre of the circle inscribed in a square formed by the lines x is ( ) ( , ) ( ) ( , ) ( ) ( , ) ( ) ( , ) - - . The equation of the normal to the circle x + = which is parallel to the line is ( ) x ( ) x ( ) ( ) x . If P x y ( , ) be any point on with foci F ( , ) and F , ) then PF PF is ( ) ( ) ( ) ( ) . The radius of the circle passing through the point( , ) two of whose diameter are x = and x is ( ) ( ) ( ) ( ) .
The area of quadrilateral formed with foci of the hyperbolas x = and x is ( ) ( ) ( ) a ( ) . If the normals of the parabola y drawn at the end points of its latus rectum are tangents to the circle ( , then the value of r is ( ) ( ) ( ) ( ) . If x is a normal to the parabola y , then the value of k is ( ) ( ) - ( ) ( ) . The ellipse E : x = is inscribed in a rectangle R whose