If `C` is the center and `A, B` are two points on the conic `4x^2+9y^2-8x-36y+4=0` such that `/_ACB=90^@` then prove that `1/(CA)^2+1/(CB)^2=13/36`

If C is the center and A,B are two points on the conic 4x^(2)+9y^(2)-8x-36y+4=0 such that /_ACB=(pi)/(2), then prove that (1)/(CA^(2))+(1)/(CB^(2))=(13)/(36) .

C is the centre of the ellipse x^(2)/16+y^(2)/9=1 and A and B are two points on the ellipse such that angle ACB=90◦, then 1/(CA)^(2)+1/((CB)^(2))=

Find the latus rectum, eccentricity and foci of the curve 4x^(2)+9y^(2)-8x-36y+4=0

Find the equation of tangent to the conic x^(2)-y^(2)-8x+2y+11=0 at (2,1)

The length of the axes of the conic 9x^(2) + 4y^(2) -6x+ 4y + 1 = 0 , are

What is the eccentricity of the conic 4x^(2)+9y^(2)=144 ?