if the tangents on the ellipse `4x^(2)+y^(2)=8` at the points (1,2) and (a,b) are perpendicular to each other then `a^(2)` is equal to

show that the tangent of the circle x^(2)+y^(2)=25 at the point (3,4) and (4,-3) are perpendicular to each other.

If the eccentricites of the ellipse x^(2)/4+y^(2)/3=1 and the hyperbola x^(2)/64-y^(2)/b^(2)=1 are reciprocals of each other, then b^(2) is equal to

If the eccentricites of the ellipse x^(2)/4,y^(2)/3=1 and the hyperbola x^(2)/64,y^(2)/b^(2)=1 are reciprocals of each other, then b^(2) is equal to

The equations of the commom tangents of the ellipse x^(2)+4y^(2)=8 & the parabola y^(2)=4x are

Find the equation of tangent line to the ellipse (x^(2))/(8)+(y^(2))/(2)=1 at point (2,1)

On the ellipse 4 x^(2)+9 y^(2)=1 , the point at which the tangent are parallel to 8 x=9 y are

On the ellipse 4x^(2)+9y^(2)=1 , the points at which the tangent are parallel to the line 8x=9y are

If the tangent to the ellipse x^2 +4y^2=16 at the point 0 sanormal to the circle x^2 +y^2-8x-4y=0 then theta is equal to

If the tangent to the ellipse x^(2)+4y^(2)=16 at the point 0 sanormal to the circle x^(2)+y^(2)-8x-4y=0 then theta is equal to