Embibe Experts Solutions for Exercise 9: EXERCISE 13.2

The curve described parametrically by, $x=t^2+t+1,y=t^2-t+1$ represents

Locus of mid-points of all chords of the parabola $y^2=4x$ which are drawn through the vertex is

The mid-point of the chord $2x+y-4=0$ of the parabola $y^2=4x$ is

The latus rectum of the conic $3x^2+4y^2-6x+8y-5=0$ is 

If the distance between foci is $2$ and the distance between the directrices is $5,$ then equation of the ellipse in the standard form is

The equation $\frac{x^2}{2-r}+\frac{y^2}{r-5}+1=0$ represents an ellipse, if

The sum of the distance on any point on the ellipse$3x^2+4y^2=24$  from its foci is

The co-ordinates of a focus of the ellipse $4x^2+9y^2=1,$ is