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

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

Locus of feet of perpendicular from (5,0) to the tangents of (x^(2))/(16)-(y^(2))/(9)=1 is (A)x^(2)+y^(2)=4(B)x^(2)+y^(2)=16(C)x^(2)+y^(2)=9(D)x^(2)+y^(2)=25

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'

The foci of the hyperbola 4x^(2)-9y^(2)-1=0 are

The foci of the hyperbola 4x^(2)-9y^(2)-1=0 are

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

The slopes of the common tangents of the hyperbolas (x^(2))/(9)-(y^(2))/(16)=1 and (y^(2))/(9)-(x^(2))/(16)=1 , are