The locus of mid points of intercept made by tangents between co-ordinate axis of ellipse `x^2+2y^2=2` is (A) `1/(4x^2)+1/(2y^2)=1` (B) `x^2/2+y^2/4=1` (C) `x^2/4+y^2/2=1` (D) `1/(2x^2)+1/(4y^2)=1`

If tangents are drawn to the ellipse x^(2)+2y^(2)=2, then the locus of the midpoint of the intercept made by the tangents between the coordinate axes is (1)/(2x^(2))+(1)/(4y^(2))=1(b)(1)/(4x^(2))+(1)/(2y^(2))=1(x^(2))/(2)+y^(2)=1(d)(x^(2))/(4)+(y^(2))/(2)=1

The locus of mid points of parts in between axes and tangents of ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 will be

Locus of point of intersection of perpendicular tangents to the circle x^(2)+y^(2)-4x-6y-1=0 is

y-1=m_1(x-3) and y - 3 = m_2(x - 1) are two family of straight lines, at right angled to each other. The locus of their point of intersection is: (A) x^2 + y^2 - 2x - 6y + 10 = 0 (B) x^2 + y^2 - 4x - 4y +6 = 0 (C) x^2 + y^2 - 2x - 6y + 6 = 0 (D) x^2 + y^2 - 4x - by - 6 = 0

The locus of the point of intersection of the tangents at the extremities of the chords of the ellipse x^(2)+2y^(2)=6 which touch the ellipse x^(2)+4y^(2)=4, is x^(2)+y^(2)=4(b)x^(2)+y^(2)=6x^(2)+y^(2)=9(d) None of these

The locus of the middle points of the portions of the tangents of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 included between the axis is the curve (a) (x^(2))/(a^(2))+(y^(2))/(b^(2))=(1)/(4) (b) quad (a^(2))/(x^(2))+(b^(2))/(y^(2))=4 (c) a^(2)x^(2)+b^(2)y^(2)=4 (d) b^(2)x^(2)+a^(2)y^(2)=4

Let the foci of the ellipse (x^(2))/(9)+y^(2)=1 subtend a right angle at a point P. Then,the locus of P is (A) x^(2)+y^(2)=1(B)x^(2)+y^(2)=2 (C) x^(2)+y^(2)=4(D)x^(2)+y^(2)=8