Embibe Experts Solutions for Exercise 16: Assignment

If equation of hyperbola is $xy+3x-2y-10=0$, then

If equation of hyperbola is $2x^2+5xy+2y^2-11x-7y-4=0$, then

If the normals at $\left(x_i, y_i\right), i=1, 2, 3, 4$ on the rectangular hyperbola $xy=c^2$ meet at the point $\left(\alpha , \beta \right)$,then

The locus of feet of the normals to $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$ from $\left(h, k\right)$ is 

The equation of the asymptotes of a hyperbola are $4x-3y+8=0$ and $3x+4y-7=0$, then

If the tangent at the point $\left(a\sec \alpha , b\tan \alpha \right)$ to the hyperbola $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$ meets the transverse axis at $T$. Then the distance of $T$ from a focus of the hyperbola is

If $ax+by+c=0$  is the normal to the hyperbola $xy+1=0$, then

If equation of hyperbola is $4{\left(2y-x-3\right)}^2-9{\left(2x+y-1\right)}^2=80$, then