If the tangents drawn through the point `(1, 2 sqrt(3)` to the ellipse `x^2/9 + y^2/b^2 = 1` are at right angles, then the value of `b` is (A) `1` (B) `-1` (C) `2` (D) `4`

If the tangents from the point (lambda,3) to the ellipse (x^(2))/(9)+(y^(2))/(4)=1 are at right angles then lambda is

Angle between the tangents drawn from point (4, 5) to the ellipse x^2/16 +y^2/25 =1 is

If the tangents drawn from the point (0,2) to the parabola y2=4ax are inclined at angle-t, then the value of 'a' is (A) 2 (C) 1 1.4 (B) -2 (D) none of these

If the chords of contact of tangents from two poinst (x_(1),y_(1)) and (x_(2),y_(2)) to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 are at right angles,then find the value of (x_(1)x_(2))/(y_(1)y_(2))

Tangents are drawn from the point P(3,4) to the ellipse (x^(2))/(9)+(y^(2))/(4)=1 touching the ellipse at points A and B.

Tangents are drawn from the point P(3, 4) to the ellipse x^2/9 +y^2/4 =1 touching the ellipse at points A and B. The orthocenter of the triangle PAB is

Prove that the chord of contact of tangents drawn from the point (h,k) to the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 will subtend a right angle at the centre, if h^(2)/a^(4)+k^(2)/b^(4)=1/a^(2)+1/b^(2)

Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/4=1 touching the ellipse at point A and B. Q. The coordinates of A and B are