Home
Class 12
MATHS
The tagents at any point P of the circle...

The tagents at any point P of the circle `x^(2)+y^(2)=16` meets the tangents at a fixed point A at T. Point is joined to B, the other end of the diameter, through, A.

Which of the following does not change by changing the radius of the circle ?

A

Coordinartes of foci

B

Length of he major axis

C

Eccentricity

D

Length of the minor axis

Text Solution

AI Generated Solution

To solve the problem step by step, we will analyze the given information and derive the necessary equations. ### Step 1: Understand the Circle The equation of the circle given is: \[ x^2 + y^2 = 16 \] This represents a circle with a radius of 4 (since \( r^2 = 16 \), thus \( r = 4 \)). ### Step 2: Identify the Fixed Point A and the Other End of the Diameter B ...
Promotional Banner

Similar Questions

Explore conceptually related problems

The tagents at any point P of the circle x^(2)+y^(2)=16 meets the tangents at a fixed point A at T. Point is joined to B, the other end of the diameter, through, A. The sum of focal distance of any point on the curce is

The tagents at any point P of the circle x^(2)+y^(2)=16 meets the tangents at a fixed point A at T. Point is joined to B, the other end of the diameter, through, A. The locus of the intersection of AO and BT is a conic whosee eccentricity is

The tangent at any point P on the circle x^2+y^2=4 meets the coordinate axes at A and B . Then find the locus of the midpoint of A Bdot

The tangent at any point P on the circle x^2 + y^2 = 2 cuts the axes in L and M . Find the locus of the middle point of LM .

The tangent at any point to the circle x^(2)+y^(2)=r^(2) meets the coordinate axes at A and B. If the lines drawn parallel to axes through A and B meet at P then locus of P is

The tangent at any point on the ellipse 16x^(2)+25y^(2) = 400 meets the tangents at the ends of the major axis at T_(1) and T_(2) . The circle on T_(1)T_(2) as diameter passes through

The tangent at any point P on y^2 = 4x meets x-axis at Q, then locus of mid point of PQ will be

P(-9,-1) is a point on the circle x^2+y^(2)+4x+8y-38=0 . The equation to the tangent at the other end of the diameter thorugh P is

The tangent and normal at the point p(18, 12) of the parabola y^(2)=8x intersects the x-axis at the point A and B respectively. The equation of the circle through P, A and B is given by

The length of the chord of the circle x^2+y^2=25 joining the points, tangents at which intersect at an angle 120^@ is