Consider a circle `x^2+y^2=4` and a point `P(4,2)`. `θ` denotes the angle enclosed by the tangents from P on the circle and A, B are the points of contact of the tangents from P on the circle. The value of `θ` lies in the interval The intercept made by a tangent on the x-axis is

Consider a circle x^(2)+y^(2)=4 and a point P(4,2). theta denotes the angle enclosed by the tangents from P on the circle and A,B are the points of contact of the tangents from P on the circle.The value of theta lies in the interval The intercept made by a tangent on the x-axis is

Consider a circle x^2 + y^2 = 4 and a point P(4,2). theta denotes the angle enclosed by the tangents from P on the circle and A, B are the points of contact of the tangents from P on the circle. The value of theta lies in the interval The intercept made by a tangent on the x-axis is Locus of the middle points of the portion of the tangent to the circle terminated by the coordinate axes is

Consider a circle x2 + y2 =4 and a point P(4,2). O denotes the angle enclosed by the tangents from Ponthe circle and A, B are the points of contact of the tangents from Pon the circle.2.5The value of lies in the interval(A) (0,15^@) (B) (15^@, 30^@)(C) 30^@, 459)(D) (45^@, 60^@)The internant mo

If the tangent from a point p to the circle x^2+y^2=1 is perpendicular to the tangent from p to the circle x^2 +y^2 = 3 , then the locus of p is

If the chord of contact of tangents from a point P to a given circle passes through Q , then the circle on P Q as diameter.

If the tangent from a point p to the circle x^(2)+y^(2)=1 is perpendicular to the tangent from p to the circle x^(2)+y^(2)=3, then the locus of p is

If the tangent from a point P to the circle x^(2)+y^(2)=1 is perpendicular to the tangent from P to the circle x^(2)+y^(2)=3 , then the locus of P is

For the circle x^(2)+y^(2)=r^(2) , find the value of r for which the area enclosed by the tangents drawn from the point P(6,8) to the circle and the chord of contact and the chord of contact is maximum.

For the circle x^(2)+y^(2)=r^(2) , find the value of r for which the area enclosed by the tangents drawn from the point P(6,8) to the circle and the chord of contact and the chord of contact is maximum.