The condition that the line x` cos alpha + y sin alpha =p` to be a tangent to the hyperbola ` x^(2)//a^(2) -y^(2)//b^(2) =1 ` is

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 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 locus of a point P(alpha, beta) moving under the condtion that the line y=alphax+beta is a tangent to the hyperbola (x^(2))/(1)-(y^(2))/(b^(2))=1 is a conic, with eccentricity equal to

Find the condition that the line x cos alpha+y sin alpha=p may touch the curve ((x)/(a))^(m)+((y)/(b))^(m)=1

The locus a point P(alpha,beta) moving under the condition that the line y=alphax+beta is a tangent to the hyperbola x^2/a^2-y^2/b^2=1 is (A) a parabola (B) an ellipse (C) a hyperbola (D) a circle

The locus a point P(alpha,beta) moving under the condition that the line y=alphax+beta is a tangent to the hyperbola x^2/a^2-y^2/b^2=1 is (A) a parabola (B) an ellipse (C) a hyperbola (D) a circle

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

The coordinates of the point at which the line x cos alpha + y sin alpha + a sin alpha = 0 touches the parabola y^(2) = 4x are

If a variable straight line x cos alpha+y sin alpha=p which is a chord of hyperbola (x^(2))/(a^(2))=(y^(2))/(b^(2))=1 (b gt a) subtends a right angle at the centre of the hyperbola, then it always touches a fixed circle whose radius, is (a) (sqrt(a^2+b^2))/(ab) (b) (2ab)/(sqrt(a^2+b^2)) (c) (ab)/(sqrt(b^2-a^2)) (d) (sqrt(a^2+b^2))/(2ab)