Analyticgeometry.docx

8/14/2019 Analyticgeometry.docx

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AnalGeometry

QuestText Choice1 Choice2 Choice3 Choice4 SubjA line passes through point (2,2). Find the equation of the line of the line if the length of the

line segment intercepted by the coordinates axes is the square root of 5. 2x - y - 2 = 0 2x + y -2 = 0 2x - y + 2 = 0 2x + y + 2 = 0 AnalyticGeometry

A parabola having a span of 30 m and a height of 20 m has an area of _____ square meters. 400 360 180 540 AnalyticGeometry

A plane passes through the point (1,1,1) and is perpendicular to each of planes 2x + 2y + z =3

and 3x y 2z =5. Find its equation. 3x - 7y + 8z =4 X - 8y + 7z =5 2x - y + 5z =6 X - 5y + 4z =2 AnalyticGeometry

A point on the graph where the tangent line is either horizontal or vertical is known as Critical point Point ofinflection Stationary point All of the above AnalyticGeometry

A rectangle ABCD which measures 18 cm. by 24 cm. is folded once, perpedicular to diagonal

AC, so that the opposite vertices A and C coincide. Find the length of the fold. 22.5 cm 21.5 cm 20.5 cm 23.5 cm AnalyticGeometry

A relation in which there is exactly one range element associated with each domain element. Function Set Formula Graph AnalyticGeometry

A triangular section has coordinates of A(2,2) , B(11,2) , and C(5,8). Find the coordinates of the

centroid of the triangular section. (6,4) (7,4) (8,4) (9,4) AnalyticGeometry

Any pair of elements (x,y) having a first element x and a second element y is called Ordered pair Domain Coordinates Range AnalyticGeometry

Any set of ordered pair is called a Relation Range Domain Graph AnalyticGeometry

Determine B such that 3x + 2y -7 = 0 is perpendicular to 2x - By + 2 = 0 . 3 4 5 2 AnalyticGeometry

Determine the tangent to the curve 3y^2 = x^3 at (3,3) and calculate the area of the triangle

bounded by the tangent line, the xaxis and the line x = 3. 3.50 units2 2.50 units2 3.00 units2 4.00 units2 AnalyticGeometry

Determine the the coordinates of the point which is three-fifths of the way from the point (2,-

5) to the point (-3,5). (-1,1) (-2,1) (-1,-2) (1, -1) AnalyticGeometryExpress center of curvature of a given curve in rectangular coordinates. Equation of curve x^2

= 6y at the points (0,0) and (3,4). (-3, 10) (-2, 17) (-2,14) (-3, 17) AnalyticGeometryFind the area of a parallelogram with two sides identified by vectors from the origin to the

points (3, 4) and (8, 0). 32 24 12 36 AnalyticGeometry


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AnalGeometry

QuestText Choice1 Choice2 Choice3 Choice4 SubjFind the coordinates of the point P(2,4) with respect to the translated axis with origin at (1,3). (1,1) (1,-1) (-1,1) (-1,-1) Analytic

GeometryFind the coordinates of the vertex of the parabola y = x^2 - 4x + 1 by making use of the fact

that at the vertex, the slope of the tangent is zero. (2, -3) (-2, -3) (-1, -3) (3, -2) AnalyticGeometry

Find the directed distance from the line 3x - 4y -16 = 0 to the point (-4, 6). 10.4 9 17.12 11 AnalyticGeometry

Find the directed distance from the line x + 4 = 0 to the point (-1,-5) 3 5 8 10 AnalyticGeometry

Find the distance between the points A(3,-2,l), B(-5,4,3) 2 2 4 19 AnalyticGeometry

Find the distance between the two parallel lines 15x - 8y -34 = 0 and 15x - 8y + 51 =0. 5 14 10 6 AnalyticGeometry

Find the distance between the two parallel lines 4x - 3y-9=0 and 4x- 3y - 24 =0. 3 12 5 15 AnalyticGeometry

Find the distance between the two parallel lines l024y= 117 5x-12y= -52 8.5 10 11.4 7.2 AnalyticGeometry

Find the distance between the two parallel lines l0x - 24y = 117 and 5x - 12y = -52. 8.5 10 7.4 15 AnalyticGeometry

Find the equation of the bisector of the pair of acute angles formed by the lines 4z+2y=9 and

2xy=8. 8x25 = 0 10x25 = 0 8x45 = 0 17x24 = 0 AnalyticGeometryFind the equation of the graph of the midpoints of the ordinates of the circle x^2 + y^2= 49. X^2 + 4y^2 =49 2x^2 + 5y^2 =49X^2 + 6y^2 =50 X^2 + y^2 =70 Analytic

Geometry

Find the equation of the line determined by the points A and B where A (6, 1), B(4, 1). Y + 1 = 0 X +y = 2 Y = 0 -6xy = 0 AnalyticGeometry

Find the equation of the line determined by the points A and B where A(0,2),B(4,6). 2x+y2=0 X+2y2=5 X+2y4=8 X + y1=0 AnalyticGeometry

Find the equation of the line determined by the points A and B where A(3,1),B(4.5) 6x+7y=11 X+6y=15 5x+8y=12 7x+6y=8 AnalyticGeometry


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AnalGeometry

QuestText Choice1 Choice2 Choice3 Choice4 SubjFind the equation of the tangent line to the curve y = x3- 3x2 + 5x that has the least slope. 2xy + 1 = 0 3x + y1 = 0 X - 2y + 1 = 0 2x + y2 = 0 Analytic

GeometryFind the inclination of the line passing through (-5,3) and (10,7). 14.93 14.73 14.83 14.63 Analytic

GeometryFind the value of k for which the equation x^2 + y^2 + 4x - 2y - k = 0 represents a point circle. -5 5 -6 6 Analytic

GeometryIf the sides of a parallelogram and an included angle are 6, 10, and 100 degrees respectively,

find the length of the shorter diagonal. 10.73 10.63 10.23 10.53 AnalyticGeometry

If y1= 2x+4 and y^2= x^2+ C, find the value of C such that y^2 is tangent to y1. 5 6 7 4 AnalyticGeometry

In a cartesian coordinates, the vertices of a square are: (1,1), (0,8), (4,5) ang (-3,4). What is the

area? 25 sq. units 30 sq. units 20 sq. units 35 sq. units AnalyticGeometryIn a cartesian coordinates, the vertices of a triangle are defined by the following points: (-2,0),

(4,0) and (3,3). What is the area? 9 sq. units 8 sq. units 10 sq. units 11 sq. units AnalyticGeometryIt the portion of a line that includes two particular points and all points that lie between them. Line segment Polygon Ray Plane Analytic

GeometryPoint P(x,y) moves with a distance from point (0,1) one-half of its distance from line y = 4. The

equation of its locus is 4x^2 + 3y^2 =12 2x^2 - 4y^2 = 5 2x^2 + 5y^3 = 3 x^2 + 2y^2 = 4 AnalyticGeometry

The _______of a relation is the set of second elements of the pair in the relation. Range Domain Graph Function AnalyticGeometry

The area of the hexagon ABCDEF formed by joining the points A(1,4), B(0,-3),C(2,3),D(-1,2),E(-

2,-1), and F(3,0) is 20 sq. units 24 sq. units 22 sq. units 15 sq. units AnalyticGeometry

The area of the rhombus is 132 square meters. If its shorter diagonal is 12 meters, find the

longer diagonal. 22 m 38 m 34 m 34 m AnalyticGeometry

The diameter of a circle described by 9x^2 + 9y^2 = 16 is 8/3 4/3 16/9 4 AnalyticGeometry

The earths orbit is an ellipse with the sun at one focus. The length of the major axis is

186,000,000 mi, and the eccentricity is 0.0167. Find the distances from the ends of the major

axis to the sun. These are the greatest and least distances from94.6 and 91.4

million miles 84.6 and 80.5million miles 70 and 91.9million miles 100.6 and 70million miles AnalyticGeometry


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AnalGeometry

QuestText Choice1 Choice2 Choice3 Choice4 SubjThe linear distance between -4 and 17 on the number line is 21 13 -17 -13 Analytic

Geometry

The parabolic antenna has an equation of y^2 + 8x = 0. Determine the length of the latus

rectum. 8 4 0.5 12 AnalyticGeometry

The segment from (-1, 4) to (2, -2) is extended three times its own length. The terminal point is(11, -20) (-11, 20) (11, 20) (-11, -20) AnalyticGeometry

The segment from (-1,4) to (2,-2) is extended three times its own length. the terminal point is (11,-20) (-11,-20) (11,-18) (11,-24) AnalyticGeometry

The vertices of a triangle arc at A(1,1), B(7,2), and C(5,3). Find the length of one side of the

triangle and the length of the altitude to that side, and then compute the area of the triangle. 17 48 19 25 AnalyticGeometry

These are the curves formed by the intersection of a plane with the surface of a cone. Conic sections Parabola Arc Hyperbola AnalyticGeometry

What is the equation of the family of lines where the x intercept is twice the y intercept? x + 2y = 2a, a =0 X + y = 2a, a = 0 5x + 3y = 2a, a =0 X + 4y = 2a, a =0 AnalyticGeometry

What is the equation of the family of lines where the y intercept is equal to 4? 4x+ay=4a, a = 0 8x+ay=5a, a = 0 7x+ay=2a, a = 0 5x+ay=4a, a = 0 AnalyticGeometry

What is the equation of the line which passes through A (-3, -6) with a slope ? x + 2y + 15 = 0 2x+y+15=0 X+2y+5=10 X+2y+20=0 AnalyticGeometry

What is the equation of the line which passes through the point A with the slope m where

A(3,1), m=2 2x - y = 5 X2y=4 2x5y=4 3x2y=10 AnalyticGeometry

What is the equation of the parabola with vertex at the origin and the focus is on the x axis

and the parabola passes through the point (4, 3)? 4y^2 = 9x Y^2 = 9x 2 x^2=y X=8y AnalyticGeometry

What is the equation of the parabola with vertex at the origin and the parabola opens to the

left and passes through the point (2, 1)? 2y^2 = -x X^2=8y X=8y 4y^2=-y AnalyticGeometry

What is the mean ordinate of the position part of the curve, y = 2xx^2 2 / 3 4 / 7 7 / 10 5 / 9 AnalyticGeometry

What is the slope and intercept of the line 4x - y=2. a=3, b= -12,m=4, a=4, b= -4, m=2, a=5, b= -2, m=4, a=3, b= -12,m=2, AnalyticGeometry


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AnalGeometry

QuestText Choice1 Choice2 Choice3 Choice4 SubjWhat the equation of the parabola with vertex at the origin, directrix is y +4=0? X^2 = 16y X^2 = 14y X^2 = 20y X^2 = 18y Analytic

GeometryWhat the equation of the parabola with vertex at the origin, focus at (0, 2)? X2=8y X2=9y X2=10y X2=11y Analytic

GeometryYou are given one coin with 5-cm diameter and a large supply of coins with diameter of 2 cm.

What is the maximum number of the smaller coinsn that may be arranged tangentially around

the larger without any overlap?10 12 9 8 Analytic

Geometry

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Analyticgeometry.docx