Mathematics · Question Bank

Analytic Geometry

128 of 233 questions match · page 3 of 7. Answer in your head first, then check the solution.

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TypeAll 128 Problem solving 84 Objective 44

DifficultyAll 233 Easy 128 Medium 89 Hard 16

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#41📘 1001 Math RojasEasy

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

A4.4°

B28.3°

C5.2°

D18.6°

#42📜 EE Board October 1997📘 1001 Math RojasEasy

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

#43📜 CE Board November 1992📘 1001 Math RojasEasy

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

#44📜 CE Board November 1996📘 1001 Math RojasEasy

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

A3.33

B3.54

C4.23

D5.45

#45📘 1001 Math RojasEasy

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

A4 units

B5 units

C6 units

D7 units

#46📜 CE Board May 1992📘 1001 Math RojasEasy

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

#47📜 EE Board April 1995📘 1001 Math RojasEasy

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

#48📜 ME Board April 1998📘 1001 Math RojasEasy

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

B\(1/4\)

C\(-1/2\)

D\(5+x\)

#49📜 CE Board November 1995📘 1001 Math RojasEasy

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

A\(3/2\)

B\(2/3\)

C\(-3/2\)

D\(-2/3\)

#50📜 EE Board April 1997📘 1001 Math RojasEasy

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

A\(y-4=x\)

B\(y=-x-2\)

C\(y=x-4\)

D\(y-2=x\)

#51📜 EE Board October 1997📘 1001 Math RojasEasy

What is the x-intercept of the line passing through \((1,4)\) and \((4,1)\)?

A4.5

#52📜 ME Board April 1997📘 1001 Math RojasEasy

Find the equation of a straight line with a slope of \(3\) and a y-intercept of \(1\).

A\(3x+y-1=0\)

B\(3x-y+1=0\)

C\(x+3y+1=0\)

D\(x-3y-1=0\)

#53📜 ECE Board April 1999📘 1001 Math RojasEasy

If the points \((-2,3)\), \((x,y)\) and \((-3,5)\) lie on a straight line, then the equation of the line is

A\(x-2y-1=0\)

B\(2x+y-1=0\)

C\(x+2y-1=0\)

D\(2x+y+1=0\)

#54📜 ME Board April 1998📘 1001 Math RojasEasy

The equation of a line that intercepts the x-axis at \(x=4\) and the y-axis at \(y=-6\) is,

A\(3x+2y=12\)

B\(2x-3y=12\)

C\(3x-2y=12\)

D\(2x-3y=12\)

#55📘 1001 Math RojasEasy

Find the equation of the line passing through the origin and with a slope of \(6\)?

A\(y-6x=0\)

B\(y=-6\)

C\(x+y=-6\)

D\(6x+y=0\)

#56📘 1001 Math RojasEasy

The line \(2x-3y+2=0\) is perpendicular to another line \(L_1\) of unknown equation. Find the slope of \(L_1\).

A\(3/2\)

B\(-3/2\)

C\(2/3\)

D\(-2/3\)

#57📜 CE Board May 1997📘 1001 Math RojasEasy

Find the slope of a line having a parametric equation of \(x=2+t\) and \(y=5-3t\).

C-2

D-3

#58📜 CE Board May 1998📘 1001 Math RojasEasy

Find the slope of the line having a parametric equation \(y=4t+6\) and \(x=t+1\)

#59📜 ECE Board April 1998📘 1001 Math RojasEasy

Find the area of the triangle which the line \(2x-3y+6=0\) forms with the coordinate axis.

#60📜 CE Board May 1995📘 1001 Math RojasEasy

What is the radius of the circle \(x^2+y^2-6y=0\)?

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