The center of an ellipse is `C` and `P N` is any ordinate. Point `A ,A '` are the endpoints of the major axis. Then find the value of `(P N^2)/(A N)dotA^(prime)Ndot`

find the value of P(n,n-1)

If \ ^n P_4=360 ,\ find the value of ndot

If P(n ,4)=20xxP(n ,2), then find the value of n

If P is any point on the hyperbola whose axis are equal, prove that S PdotS^(prime)P=C P^2dot

Prove that if any tangent to the ellipse is cut by the tangents at the endpoints of the major axis at Ta n dT ' , then the circle whose diameter is T T ' will pass through the foci of the ellipse.

Let P be any point on any directrix of an ellipse. Then the chords of contact of point P with respect to the ellipse and its auxiliary circle intersect at (a)some point on the major axis depending upon the position of point Pdot (b)the midpoint of the line segment joining the center to the corresponding focus (c)the corresponding focus (d)none of these

If ^n C_r=84 , and ^n C_(r-1)=36 , and r = 1 , then find the value of ndot

If the sub-normal at any point on y=a^(1-n)x^n is of constant length, then find the value of ndot

If the sub-normal at any point on y^(1-n)x^n is of constant length, then find the value of ndot

If the area of the triangle included between the axes and any tangent to the curve x^n y=a^n is constant, then find the value of ndot