Home
Class 12
MATHS
A ball moving around the circle x^2+y^2 ...

A ball moving around the circle `x^2+y^2 - 2x - 4y -20=0` in anticlockwise direction leaves it tangentially at `P(-2, -2)`. After getting reflected from a straight 'L' it passes through the centre of circle. If distance of P from line `L is 5/2and 2alpha` be the angle between incident ray and reflected say then `10 cot 2alpha cot a` is equal to

Promotional Banner

Similar Questions

Explore conceptually related problems

A ball moving around the circle x^(2)+y^(2)-2x-4y-20=0 in anti-clockwise direction leaves it tangentially at the point P(-2,-2). After getting reflected from a straingt line, it passes through the centre of the circle. Find the equation of the straight line if its perpendicular distance from P is 5/2. You can assume that the angle of incidence is equal to the angle of reflection.

A light beam, emanating from the point (3, 10) reflects from the straight line 2x+y-6=0 and then passes through the point B(7, 2) . Find the equations of the incident and reflected beams.

A light beam, emanating from the point (3, 10) reflects from the straight line 2x+y-6=0 and then passes through the point B(7, 2) . Find the equations of the incident and reflected beams.

A particle from the point P(sqrt3,1) moves on the circle x^2 +y^2=4 and after covering a quarter of the circle leaves it tangentially. The equation of a line along with the point moves after leaving the circle is :

if theta the angle between the tangents from (-1,0) to the circle x^(2)+y^(2)-5x+4y-2=0, then theta is equal to

A light ray gets reflected from the x=-2. If the reflected ray touches the circle x^2 + y^2 = 4 and point of incident is (-2,-4), then equation of incident ray is

A light ray gets reflected from the x=-2. If the reflected ray touches the circle x^2 + y^2 = 4 and point of incident is (-2,-4), then equation of incident ray is

A particle from the point P(sqrt3,1) moves on the circle x^2 +y^2=4 and after covering a quarter of the circle leaves it tangentially. The equation of a line along with the point moves after leaving the circle is