Analytic Geometry Practice Questions – Mathematics (Page 5)

#12897📜 ECE Board April 1998Problem

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

A(11,-24)

B(-11,-20)

C(11,-18)

D(11,-20)

#12898Problem

The points \((a,1)\), \((b,2)\) and \((c,3)\) are collinear. Which of the following is true?

Ac-b=c-a

Bc-b=b-a

Cc-a=a-b

Dc-a=b-a

#12899Problem

If the slope of the line connecting the origin and point P is \(3/4\), find the abscissa of P if its ordinate is \(6\).

A2

B6

C7

D8

#12900📜 ECE Board April 1999Problem

Find the inclination of the line passing through \((-5,3)\) and \((10,7)\).

A14.73

B14.93

C14.83

D14.63

#12901Problem

Find the angle formed by the lines \(2x+y-8=0\) and \(x+3y+4=0\).

A\(30^\circ\)

B\(35^\circ\)

C\(45^\circ\)

D\(60^\circ\)

#12902Problem

Find the angle between the lines \(3x+2y=6\) and \(x+y=6\).

A12°20'

B11°19'

C14°25'

D13°06'

#12903Problem

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

A4.4°

B28.3°

C5.2°

D18.6°

#12904📜 EE Board October 1997Problem

Find the distance of the line \(3x+4y=5\) from the origin.

A4

B3

C2

D1

#12905📜 CE Board November 1992Problem

The two points on the lines \(2x+3y+4=0\) which are at a distance 2 from the line \(3x+4y-6=0\) are

A(-5,1) and (-5,2)

B(64,-44) and (4,-4)

C(8,8) and (12,12)

D(44,-64) and (-4,4)

#12906📜 CE Board November 1992Problem

The distance from the point \((2,1)\) to the line \(4x-3y+5=0\) is

A1

B2

C3

D4

#12907📜 CE Board November 1996Problem

Determine the distance from \((5,10)\) to the line \(x-y=0\).

A3.33

B3.54

C4.23

D5.45

#12908Problem

The distance from a point \((1,3)\) to the line \(4x+3y+12=0\) is

A4 units

B5 units

C6 units

D7 units

#12909📜 CE Board May 1992Problem

Find the distance between the given lines \(4x-3y=12\) and \(4x-3y=-8\).

A3

B4

C5

D6

#12910📜 EE Board April 1995Problem

Find the distance between the lines, \(3x+y-12=0\) and \(3x+y-4=0\).

A\(\frac{16}{\sqrt{10}}\)

B\(\frac{12}{\sqrt{10}}\)

C\(\frac{4}{\sqrt{10}}\)

D\(\frac{8}{\sqrt{10}}\)

#12911📜 ME Board October 1996Problem

What is the length of the line with a slope of \(4/3\) from a point \((6,4)\) to the y-axis?

A10

B25

C50

D75

#12912📜 ME Board April 1998Problem

Find the slope of the line defined by \(y-x=5\).

A1

B\(1/4\)

C\(-1/2\)

D\(5+x\)

#12913📜 CE Board November 1995Problem

What is the slope of the line \(3x+2y+1=0\)?

A\(3/2\)

B\(2/3\)

C\(-3/2\)

D\(-2/3\)

#12914📜 ECE Board November 1990Problem

In 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?

A8 sq. units

B9 sq. units

C10 sq. units

D11 sq. units

#12915📜 EE Board April 1994Problem

Given three vertices of a triangle whose coordinates are A \((1,1)\), B \((3,-3)\) and \((5,-3)\). Find the area of the triangle.

A3

B4

C5

D6

#12916📜 ECE Board November 1990Problem

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

A20 sq. units

B30 sq. units

C25 sq. units

D35 sq. units