Locus of the point of intersection of perpendicular tangents on the curve with centre (3/2, 7/2) and radius sqrt(15)/2 is: - `(a) 2x^2+2y^2-4x-7y-1=0` `(b) 2x^2+2y^2-14 x-7y-1=0` `(c) 2x^2+2y^2-6x-14 y-1=0` `(d) 2x^2-12 y^2-6x+14 y-1=0`

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

Find the locus of the point of intersection of the perpendicular tangents of the curve y^2+4y-6x-2=0 .

Find the locus of the point of intersection of the perpendicular tangents of the curve y^2+4y-6x-2=0 .

Find the centre and radius of the the circles: x^2 +y^2 - 4x-6y-14=0

Find'the centre and radius of the circle (i) x^(2) +y^(2) + 4x - 1 = 0 (ii) 2 x^(2) + 2y^(2) = 3x - 5y + 7

The equation of the circle passing through the foci of the ellipse (x^2)/(16)+(y^2)/9=1 , and having centre at (0, 3) is (1) x^2+y^2-6y+7=0 (2) x^2+y^2-6y-5=0 (3) x^2+y^2-6y+5=0 (4) x^2+y^2-6y-7=0

Through point P(-1,4) , two perpendicular lines are drawn which intersect x-axis at Q and R. find the locus of incentre of Delta PQR . a. x^2+y^2+2x-8y-17=0 b. x^2-y^2 +2x-8y+17=0 c. x^2+y^2-2x-8y-17=0 d. x^2-y^2+8x-2y-17=0

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

The equation of the circle passing through the point of intersection of the circles x^2+y^2-4x-2y=8 and x^2+y^2-2x-4y=8 and the point (-1,4) is (a) x^2+y^2+4x+4y-8=0 (b) x^2+y^2-3x+4y+8=0 (c) x^2+y^2+x+y=0 (d) x^2+y^2-3x-3y-8=0

Through the point P(3,4) a pair of perpendicular lines are drawn which meet x-axis at the point A and B. The locus of incentre of triangle PAB is (a) x^(2)-y^(2)-6x-8y+25=0 (b) x^(2)+y^(2)-6x-8y+25=0 (c) x^(2)-y^(2)+6x+8y+25=0 (d) x^(2)+y^(2)+6x+8y+25=0