If normals are drawn to the ellipse `x^2 + 2y^2 = 2` from the point `(2, 3).` then the co-normal points lie on the curve

Find the normal to the ellipse (x^2)/(18)+(y^2)/8=1 at point (3, 2).

The angle between the pair of tangents drawn to the ellipse 3x^(2) + 2y^(2) =5 from the point (1, 2) is-

If three normals are drawn from the point (c, 0) to the parabola y^(2)= x , then-

Find the equation of normal to the ellipse x^(2)+4y^(2)=4 at (2 cos theta, sin theta) . Hence find the equation of normal to this ellipse which is paralel to the line 8x+3y=0 .

If from a point P(0,alpha) , two normals other than the axes are drawn to the ellipse (x^2)/(25)+(y^2)/(16)=1 such that |alpha| < k then the value of 4k is

If the tangent to the curve y^(2) = x^(3) at the point (m^(2), m^(3)) is also the normal to the curve at (M^(2), M^(3)) , then the value of mM is-

Three normals are drawn from the point (7, 14) to the parabola x^2-8x-16 y=0 . Find the coordinates of the feet of the normals.

The normal to the parabola y^(2)=8x at the point (2, 4) meets the parabola again at the point-

If the normal at the point p(theta) to the ellipse 5x^(2)+14y^(2)=70 intersects in again the point Q (2 theta) , then show that, cos theta=(2)/(3)

The slope of the normal to the circle x^(2)+y^(2)=a^(2) at the point (a cos theta, a sin theta) is-