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 point of intersection of the circle x^2+y^2-3x-4y+2=0 with the x-axis.

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

Tangent are drawn to the circle x^2+y^2=1 at the points where it is met by the circles x^2+y^2-(lambda+6)x+(8-2lambda)y-3=0,lambda being the variable. The locus of the point of intersection of these tangents is

The locus of the point of intersection of perpendicular tangents to the hyperbola (x^(2))/(25)-(y^(2))/(9) is:

A pair of tangents are drawn from the origin to the circle x^2+y^2+20(x+y)+20=0 . Then find its equations.

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.

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 then find a common tangent of the two circles