A circle with center `(a , b)` passes through the origin. The equation of the tangent to the circle at the origin is (a)`a x-b y=0` (b) `a x+b y=0` `b x-a y=0` (d) `b x+a y=0`

The equations of tangents to the circle x^2+y^2-6x-6y+9=0 drawn from the origin in (a). x=0 (b) x=y (c) y=0 (d) x+y=0

The equation of the tangent to the circle x^2+y^2=25 passing through (-2,11) is (a) 4x+3y=25 (b) 3x+4y=38 (c) 24 x-7y+125=0 (d) 7x+24 y=250

If x+3y=0 is a tangent to the circle with centre at (-1,2) then show that the other tangent to the circle from the origin is 3x-y=0

The equation to the normal to the curve y=sinx at (0,\ 0) is (a) x=0 (b) y=0 (c) x+y=0 (d) x-y=0

If 3x+y=0 is a tangent to a circle whose center is (2,-1) , then find the equation of the other tangent to the circle from the origin.

The equation of common tangent(s) to the parabola y^2=16 x and the circle x^2+y^2=8 is/are x+y+4=0 (b) x+y-4=0 x-y-4=0 (d) x-y+4=0

Equation of the diameter of the circle x^2+y^2-2x+4y=0 which passes through the origin is a.x+2y=0 b.x-2y=0 c. 2x+y=0 d. 2x-y=0.

The equation of the diameter of the circle x^(2) + y^(2) - 6x + 2y = 0 which passes through origin is

Find the equation of the straight line which passes through the origin and the point of intersection of the lines ax+by+c=0 and a'x+b'y+c'=0 .

A parabola y=a x^2+b x+c crosses the x-axis at (alpha,0)(beta,0) both to the right of the origin. A circle also passes through these two points. The length of a tangent from the origin to the circle is: (a) sqrt((b c)/a) (b) a c^2 (c) b/a (d) sqrt(c/a)