ANALYTIC GEOMETRY

premopremo remo · 75問 · 2年前

通報

問題一覧

The Y - axis is also called

ordinate

The distance of a point from the y axis is called

abscissa

In polar coordinate system the distance from a point to the pole is known as

Radius vector

The distance of a point from the x axis is called

ordinate

State the quadrant in which the coordinate (15,-2) lies

The equation of a line is y=mx+b, what is m?

Slope

Find the equation of a line with slope 3 and y intercept -2

y= 3x -2

The product of the slopes of the equation of 2 lines is -1. One of the lines is __________

Perpendicular

Find the incilanation of the line 2x+5y=10

158.2

What is the acute angle between the lines y = 3x + 2 and y = 4x + 9?

4.4 deg

What is conic section is described by the equation 2x^2 + 6xy + 4y^2 - x + y =0

Ellipse

In the second degree equation Ax^2+Bxy+Cy^2+Dx+Ey+F=0 and B^2-4AC=0 What is the equation?

Parabola

What conic section is described by the equation 4x^2+3xy+5y^2-x+y=0?

ellipse

In the non generate conic 2xy-x+y 13=0, classify

hyperbola

The line through the points (4, 3) and (-6, 0) intersect the line through (0, 0) and (-1.5). Find the angle of intersection.

85 degrees, 95 degrees

Find the area of the triangle having the vertices at -4 -i, -1+2i 4-3i

Find the equation of the line passing 3 units from the origin and parallel to 3x+4y-10=0

3x + 4y -15 = 0

What is the equation of the line that passes through (-3, 5) and is parallel to the line 4x - 2y+2=0?

2x-y+11=0

Find the coordinates of the center of a curve whose equation is x^2+y^2-4x-6y-12=0

(2,-3)

Axis of hyperbola through its foci

Transverse Axis

What is called the minimum distance from the Sun in a planet in its orbit?

Perihelion

What is the x-intercept of the line passing thru (1, 4) and (4, 1).

Find the equation of the line determined by the points (1, 5) and (4, 1).

3y+4x=19

A line passes thru (1,3) and (-4, 2). Write the equation of the line in slope-intercept form

y=-2-x

Given the curve 16x^2+25y^2-64x-50y-311=c , determine its latus rectum

32/5

And the angle in degrees between the asymptote of the hyperbola 8x^2-25y^2+50y-250=0 and the x axis.

30.96°

Find the equation of the directrix of the parabola v^2=16v

x=-4

A cirde has an equation of x^2+y^2=48 Intersection of the circle and the curve Determine the length of the line joining the x^2+8v=0.

11.32

Given the three vertices of a parallelogram (1, 3), (0, 0), and (4, 0). Find the possible location/coordinate of the fourth vertex.

(-3,3)

. Find the center of the curve given the equation xy-3x-2y+5=0.

(0,0)

The focus of the parabola y^2+4y-4x-8=0 is at?

(-2,-2)

A circle passes through O (0, 0), A(5,1), B (1, 5). Determine the area of the circle

29.49

The following are the vertices of a triangle, (1, 2), (3, 3), (4, 11). Find the equation of one of the medians.

9x+3y=26

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