Directrix of Ellipse

Q.

Equation of the ellipse with foci ($\pm$4, 0) and length of latusrectum$\frac{20}{3}$is

1. 

2. 

3. 

4. 

Q. The equation of the axes of the ellipse $4x^2+3y^2-8x+6y-5=0$, are

1. major axis is $y+1=0$
2. minor axis is $y+1=0$
3. minor axis is $x=1$
4. major axis is $x=1$

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

Q. An ellipse having co-ordinate axes as its axes having lengths $2a$ and $2b$ units respectively, Where $a$ and $b$ are middle terms of a series $a_1,a_2,a_3\cdots a_{10},$ $a_i{a}_{11-i}=5\sqrt{3}\forall i\in N,i<11.$ If $B,F,F^{\prime }$ are one end of minor axis and foci of the ellipse respectively, such that triangle $FB{F}^{\prime }$ is an equilateral triangle, then equation of ellipse is

1. $\frac{x^2}{10}+\frac{2y^2}{15}=1$
2. $\frac{x^2}{15}+\frac{y^2}{5}=1$
3. $\frac{x^2}{10}+\frac{y^2}{15}=1$
4. $\frac{2x^2}{15}+\frac{y^2}{10}=1$

Q. The equation of the directrix of the ellipse $\frac{x^2}{25}+\frac{y^2}{9}=1$ is/are

1. $y=\frac{25}{4}$
2. $y=-\frac{25}{4}$
3. $x=-\frac{25}{4}$
4. $x=\frac{25}{4}$

Q. A ray eminating from the point $(-3,0)$ is incident on the ellipse $16x^2+25y^2=400$ at the point $P$ with ordinate $4.$ Equation of the reflected ray is

1. $4x+3y+12=0$
2. $4x+3y=12$
3. $3x+4y=16$
4. $3x+4y+9=0$