Home
Class 12
MATHS
For the circle x^(2)+y^(2)=r^(2), find t...

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.

Text Solution

Verified by Experts

The correct Answer is:
5 units
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the area of the triangle formed by the tangents drawn from the point (4,6) to the circle x^(2)+y^(2)=25 and their chord of contact. Answer: (405sqrt(3))/(52) sq.units

Tangents are drawn from the point (-1,2) to the parabola y^(2)=4x The area of the triangle for tangents and their chord of contact is

The length of the chord of contact of the tangents drawn from the point (-2,3) to the circle x^2+y^2-4x-6y+12=0 is:

Tangents are drawn to the parabola y^(2)=4x from the point (1,3). The length of chord of contact is

Statement-1: The line x+9y-12=0 is the chord of contact of tangents drawn from a point P to the circle 2x^(2)+2y^(2)-3x+5y-7=0 . Statement-2: The line segment joining the points of contacts of the tangents drawn from an external point P to a circle is the chord of contact of tangents drawn from P with respect to the given circle

Angle between tangents drawn from a point P to circle x^(2)+y^(2)-48-8y+8=0 is 60^(@) then length of chord of contact of P is

Tangents are drawn from external poinl P(6,8) to the circle x^(2)+y^(2)=r^(2) find the radius r of the circle such that area of triangle formed by the tangents and chord of contact is maximum is (A) 25(B) 15(C) 5(D) none

Find the equation to the chord of contact of the tangents drawn from an external point (-3, 2) to the circle x^2 + y^2 + 2x-3=0 .

Pair of tangents are drawn from origin to the circle x^2 + y^2 – 8x – 4y + 16 = 0 then square of length of chord of contact 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