A tangent is drawn to each of the circles `x^2+y^2=a^2` and `x^2+y^2=b^2dot` Show that if the two tangents are mutually perpendicular, the locus of their point of intersection is a circle concentric with the given circles.

Tangents are drawn from the point (17, 7) to the circle x^2+y^2=169 , Statement I The tangents are mutually perpendicular Statement, lls The locus of the points frorn which mutually perpendicular tangents can be drawn to the given circle is x^2 +y^2=338 (a) Statement I is correct, Statement II is correct; Statement II is a correct explanation for Statementl (b( Statement I is correct, Statement I| is correct Statement II is not a correct explanation for Statementl (c)Statement I is correct, Statement II is incorrect (d) Statement I is incorrect, Statement II is correct

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

Tangents are drawn to the circle x^2+y^2=a^2 from two points on the axis of x , equidistant from the point (k ,0)dot Show that the locus of their intersection is k y^2=a^2(k-x)dot

The tangents drawn from the origin to the circle x^2+y^2-2rx-2hy+h^2=0 are perpendicular if

Obtain the locus of the point of intersection of the tangent to the circle x^2 + y^2 = a^2 which include an angle alpha .

A tangent PT is drawn to the circle x^2+y^2 =4 at the point P(sqrt3,1) . A straight line L, perpendicular to PT is a tangent to the circle. (x - 3)^2+ y^2 = 1 A common tangent of the two circles is

A tangent PT is drawn to the circle x^2+y^2 =4 at the point P(sqrt3,1) . A straight line L, perpendicular to PT is a tangent to the circle. (x - 3)^2+ y^2 = 1 A possible equation of L is

If the tangents are drawn to the circle x^2+y^2=12 at the point where it meets the circle x^2+y^2-5x+3y-2=0, then find the point of intersection of these tangents.

From a point on the circle x^2+y^2=a^2 , two tangents are drawn to the circle x^2+y^2=b^2(a > b) . If the chord of contact touches a variable circle passing through origin, show that the locus of the center of the variable circle is always a parabola.

The locus of the point of intersection of two perpendicular tangents to the ellipse (x^(2))/(9) +(y^(2))/(4)=1 is -