Analytic Geometry Answers

Sub 24
Ques. 15

A 20 m ladder and a 15 m ladder were leaned against a building. The bottom of the longer ladder was 7 m farther from the building than the bottom of the shorter ladder, but both ladders are the same distance up the building. Find the distance.

Sub 23
Ques. 17

Use the information to write an equation of the parabola:

Focus: (-8, 0), Directrix: x = 8

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"?