निम्नांकित प्रत्येक अतिपरवलय की नाभियों के निर्देशांक, शीर्ष e तथा नाभिलम्ब की माप ज्ञात कीजिए ।
(i)`(x^(2))/(9)-(y^(2))/(16)=1`
(ii)`y^(2)-16x^(2)=16`

9x^(2)-16y^(2)

Factorise : (x^(2) + 4y^(2) - 9z^(2))^(2) - 16x^(2)y^(2)

The slopes of the common tangents of the hyperbolas (x^(2))/(9)-(y^(2))/(16)=1 and (y^(2))/(9)-(x^(2))/(16)=1 , are

The slopes of the common tangents of the hyperbolas (x^(2))/(9)-(y^(2))/(16)=1 and (y^(2))/(9)-(x^(2))/(16)=1 , are

Find the eccentricity of the ellipse (i) (x^(2))/(16)+(y^(2))/(9)=1 (ii) (x^(2))/(64)+(y^(2))/(36)=1

Factorize:-(i) 9x^(2)-16y^(2)

Find the corrdinates of the foci and the vertices, the eccentricity, the length of the latus rectum of the hyperbolas : (i) (x^(2))/(9)-(y^(2))/(16)=1 (ii) y^(2)-16x^(2)=16

Find the corrdinates of the foci and the vertices, the eccentricity, the length of the latus rectum of the hyperbolas : (i) (x^(2))/(9)-(y^(2))/(16)=1 (ii) y^(2)-16x^(2)=16

Find the corrdinates of the foci and the vertices, the eccentricity, the length of the latus rectum of the hyperbolas : (i) (x^(2))/(9)-(y^(2))/(16)=1 (ii) y^(2)-16x^(2)=16