If the line `x cos alpha+y sin alpha=p` and the circle `x^(2)+y^(2)=a^(2)` intersect at A and B then the equation of the circle on AB as diameter is `(x^(2)+y^(2)-a^(2)) = k(x cos alpha + y sin alpha - p)`. Then value of `k =`

If the straight line represented by x cos alpha + y sin alpha = p intersect the circle x^2+y^2=a^2 at the points A and B , then show that the equation of the circle with AB as diameter is (x^2+y^2-a^2)-2p(xcos alpha+y sin alpha-p)=0

If the line y cos alpha = x sin alpha +a cos alpha be a tangent to the circle x^(2)+y^(2)=a^(2) , then

The intercept on the line y=x by the circle x^(2)+y^(2)-2x=0 is AB. Show that the equation of the circle with AB as diameter is x^(2)+y^(2)-x-y=0 .

If the line x cosalpha + y sin alpha = P touches the curve 4x^3=27ay^2 , then P/a=

Find the Cartesian equation of the curves whose parametric equation are : x=a+c cos alpha, y = b + c sin alpha

An equation of a circle touching the axes of coordinates and the line x cos alpha+ y sin alpha = 2 can be

The line x cos alpha +y sin alpha =p is tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1. if

The line x cos alpha + y sin alpha =p is tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1. if

If x cos alpha +y sin alpha = 4 is tangent to (x^(2))/(25) +(y^(2))/(9) =1 , then the value of alpha is

If the line x Cos alpha+y Sin alpha=p touches x^(2)/a^(2)-y^(2)/b^(2)=1 then a^(2) Cos^(2)alpha-b^(2) Sin^(2)alpha=