Solve following questions

Q1. What is the midpoint of the segment joining (3, 5) and (-6, 11)?

Q2. What is the distance between the points (-7, 7) and (-4, 11)?

Q3. What is the distance between the points (-2sqrt7, 10) and (4sqrt7, 8)?

Q4. What is the directrix of the parabola with the equation y+3=1/10(x+2)^2 ?

Q5. What is the axis of symmetry of the parabola with the equation
x-4=1/4(y+1)^2 ?

Q6. Find the vertices of a hyperbola with the equation (x+3)^2-4(y-2)^2=4.

Q7. Find the foci of a hyperbola with the equation 9y2-72y-16x2-64x-64=0.

Q8. Find the slopes of the asymptotes of a hyperbola with the equation y^2=36+4x^2.

Q9. What is the graph of the equation 6x^2-24x-5y^2-10y-11=0 ?

Q10. What is the graph of the equation 5x^2+2y^2+30x-16y+67=0 ?

Q11. What is the graph of the equation x^2+y^2-8x+6y+24=0 ?

Q12. What is the graph of the equation x^2+2x+7-y=0 ?

Q13. Identify the solutions to the system of equations:
x^2 + y^2 = 25
16x^2 + 25y^2 = 400

Q14. Identify the solutions to the system of equations:
y^2 - x^2 = 16
x^2 - y^2 = 16