" The eccentricity of locus of point "`(3h+2,k)`" where "`(h,k)`" lies on the circle "`x^(2)+y^(2)=1`" is."

The eccentricity of the locus of point (2h+2,k), where (h,k) lies on the circle x^(2)+y^(2)=1, is (1)/(3)(b)(sqrt(2))/(3) (c) (2sqrt(2))/(3) (d) (1)/(sqrt(3))

The locus of the point P(h, k) for which the line hx+ky=1 touches the circle x^(2)+y^(2)=4 , is

If e_(1) be the eccentricity of a hyperbola and e_(2) be the eccentricity of its conjugate, then show that the point (1/e_(1) , 1/e_(2)) lies on the circle x^(2) + y^(2) = 1 .

Find the value of k if the points (1, 3) and (2, k) are conjugated with respect to the circle x^(2)+y^(2)=35 .

The slope of the tangent at the point (h,2h) on the circle x^(2)+y^(2)=5 is (where h>0)

The slope of the tangent at the point (h,2h) on the circle x^(2)+y^(2)=5 where (h>0) is

If the chord of contact of tangents from a point P(h, k) to the circle x^(2)+y^(2)=a^(2) touches the circle x^(2)+(y-a)^(2)=a^(2) , then locus of P is

The locus of the point (sqrt(3h+2), sqrt(3k)) if (h, k) lies on x+y=1 is : (A) a circle (B) an ellipse (C) a parabola (D) a pair of straight lines

If the chord of contact of the tangents drawn from the point (h,k) to the circle x^(2)+y^(2)=a^(2) subtends a right angle at the center,then prove that h^(2)+k^(2)=2a^(2)

Through a fixed point (h,k), secant are drawn to the circle x^(2)+y^(2)=r^(2) . Show that the locus of the midpoints of the secants by the circle is x^(2)+y^(2)=hx+ky .