For which of the hyperbolas, can we have more than one pair of perpendicular tangents? (a)`(x^2)/4-(y^2)/9=1` (b) `(x^2)/4-(y^2)/9=-1` (c)`x^2-y^2=4` (d) `x y=44`

The locus of the point of intersection of perpendicular tangents to the hyperbola x^(2)/16 - y^(2)/9 = 1 is _____

The locus of the foot of the perpendicular from the center of the hyperbola x y=1 on a variable tangent is (x^2-y^2)=4x y (b) (x^2-y^2)=1/9 (x^2-y^2)=7/(144) (d) (x^2-y^2)=1/(16)

If the angle between the asymptotes of hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 is 120^0 and the product of perpendiculars drawn from the foci upon its any tangent is 9, then the locus of the point of intersection of perpendicular tangents of the hyperbola can be (a) x^2+y^2=6 (b) x^2+y^2=9 (c) x^2+y^2=3 (d) x^2+y^2=18

If x=9 is the chord of contact of the hyperbola x^2-y^2=9 then the equation of the corresponding pair of tangents is (A) 9x^2-8y^2+18x-9=0 (B) 9x^2-8y^2-18x+9=0 (C) 9x^2-8y^2-18x-9=0 (D) 9x^2-8y^2+18x+9=0

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 (a) 1/(2x^2)+1/(4y^2)=1 (b) 1/(4x^2)+1/(2y^2)=1 (c) (x^2)/2+y^2=1 (d) (x^2)/4+(y^2)/2=1

The mirror image of the parabola y^2=4x in the tangent to the parabola at the point (1, 2) is (a) (x-1)^2=4(y+1) (b) (x+1)^2=4(y+1) (c) (x+1)^2=4(y-1) (d) (x-1)^2=4(y-1)

The locus of the foot of the perpendicular from the centre of the hyperbola xy = c^2 on a variable tangent is (A) (x^2-y^2)=4c^2xy (B) (x^2+y^2)^2=2c^2xy (C) (x^2+y^2)=4c^2xy (D) (x^2+y^2)^2=4c^2xy

The equation of the line that passes through (10 ,-1) and is perpendicular to y=(x^2)/4-2 is (a)4x+y=39 (b) 2x+y=19 (c)x+y=9 (d) x+2y=8

The number of points on the ellipse (x^2)/(50)+(y^2)/(20)=1 from which a pair of perpendicular tangents is drawn to the ellipse (x^2)/(16)+(y^2)/9=1 is (a)0 (b) 2 (c) 1 (d) 4

Which of the following can be slope of tangent to the hyperbola 4x^2-y^2=4? (a)1 (b) -3 (c) 2 (d) -3/2