Q1) For the equation of Circle y? = -x2 + 4x + 7 Answer two of the following : 1- The area of the square inside the circle which the diameter of the circle present its hypotenuse (Diagounal of square) 2- Find the equation of the parabola which its focus is shifted by 3 units in x-axis direction and 2 units in y-axis directions to the negative sides from the center of the circle and the value of its directrix is 0.25

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Q1) For the equation of Circle
y? = -x2 + 4x + 7
Answer two of the following :
1- The area of the square inside the circle which the diameter of the circle
present its hypotenuse (Diagounal of square)
2- Find the equation of the parabola which its focus is shifted by 3 units
in x-axis direction and 2 units in y-axis directions to the negative sides
from the center of the circle and the value of its directrix is 0.25
3- If the equation of the hyperbola is
4x2 – 9y? = 36
Find the distance between the negative foci and the center of the circle,
then find the equation of the line passes through the two points ?
Transcribed Image Text:Q1) For the equation of Circle y? = -x2 + 4x + 7 Answer two of the following : 1- The area of the square inside the circle which the diameter of the circle present its hypotenuse (Diagounal of square) 2- Find the equation of the parabola which its focus is shifted by 3 units in x-axis direction and 2 units in y-axis directions to the negative sides from the center of the circle and the value of its directrix is 0.25 3- If the equation of the hyperbola is 4x2 – 9y? = 36 Find the distance between the negative foci and the center of the circle, then find the equation of the line passes through the two points ?
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