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

Locus of the point of intersection of the perpendicular tangents of the curve y^(2)+4y-6x-2=0( A) 2x-1=0(B)2x+3=0(C)2y+3=0 (D) 2x+5=0

The equation of the sphere concentric with the sphere 2x^2+2y^2+2z^2-6x+2y-4z=1 and double its radius is (A) x^2+y^2+z^2-x+y-z=1 (B) x^2+y^2+z^2-6x+2y-4z=1 (C) 2x^2+2y^2+2z^2-6x+2y-4z-15=0 (D) 2x^2+2y^2+2z^2-6x+2y-4z-25=0

Find the equation of tangent line to the curve y^(2)-7x-8y+14=0 at point (2,0)

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

Find the equation of the tangent line to the curve y=(3x^2-1)/x at the point (1,2) is (a) 4x-y-1=0 (b) 4x+y+2=0 (c)x-y-1=0 (d) 4x-y-2=0

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 mid-point of a chord of the circle x^2 + y^2 -2x - 2y - 23=0 , of length 8 units is : (A) x^2 + y^2 - x - y + 1 =0 (B) x^2 + y^2 - 2x - 2y - 7 = 0 (C) x^2 + y^2 - 2x - 2y + 1 = 0 (D) x^2 + y^2 + 2x + 2y + 5 = 0