Analytic Geometry Answers

Sub 23
ques: 5

Find an equation of the hyperbola described:

Foci (0, -8) and (0, 8); difference of focal radii 10

A circle radius is 1cm and a central angle of 54 what is the area of the sector containing the central angle

what is the equation of line passing through (1,2) and perpendicular to equation y=7

2 parallel straights have the same coefficient ??

Which of the following sets could be the sides of a right triangle?
{2, 3, }
{5, 5, 2}
{5, 12, 15}

Question #2



Find the distance between the points (2, 8) and (-1, 9).

2


Question #3



Find the midpoint of the line segment whose endpoints are (-2, 5) and (6, -9).
(4, -4)
(2, -2)
(1, -4)

Question #4



y(y + 4) - y2 = 6 is a quadratic equation.
True
False

Question #5



Which of the following describes the translation of the graph of y = x2 to obtain the graph of y = -x2 + 3?
reflect over the x-axis and shift right 3
reflect over the x-axis and shift up 3
reflect over the y-axis and shift down 3

Question #6



Write the quadratic equation in general form and then choose the value of "b."

(2x - 1)(x + 6) = 0
-4
11
12

Question #7



Which of the following constants can be added to x2 - 3x to form a perfect square trinomial?

1
2

Question #8



Which of the following points lies on the circle whose center is at the origin and whose radius is 13?
(-5, 12)
(, )
(6, -7)

Question #

Consider circle (c) of center I(1,1) and radius R=1 and the circle (C') of center I'(5,1) and R'=2 Write the equation of the common tangents to C and C' using scalar product.

the line 2y+7x=5 and 4x+dy+3=0 are perpendicular to each other, find the value for d.

How do you prove that "The altitude to the base of an isosceles triangle is also a median"?

x^2-9y^2+36y-45=0

the axial cross section of a head light reflector is a parabola with the bulbs center as focus. find the depth of the headlight in centimeters, if the bulbs center is 2 centimeter. from the vertex and the radius of the head light is 10 centimeter