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Introduction to Analytical Geometry - Set 1

Home
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NUST Entrance Test
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Mathematics
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Introduction to Analytical Geometry

Set 1

MM

Mashaal Masha

Oct 07, 2022

On this page

$Product of slopes of 2 perpendicular lines is always$
$What is the slope of the line having an equation $y=0$$
$If the slope of two lines is equal, the lines would be$
$Find the distance AB between the two points A$(3,1)$ and B$(-2,-4)$.$
$The points $(4,-2)$, $(-2,4)$ and $(4,4)$ are the vertices of a triangle. Find the centroid of the triangle.$
$The slope of a line parallel to x-axis is$
$If two lines are anti-parallel then$
$$ax^{2}+2hxy+by^{2}+2gx+2fy+c=0$ represents a pair of straight lines if$
$Which of the following equations represent a horizontal line?$
$Points P$(2,2)$, Q$(-2,2)$ and R$(k,4)$ represent the vertices of a Right Angled Triangle with right angle at P. Find the value of k$

Choose the correct options for the following questions.

Product of slopes of 2 perpendicular lines is always

Difficulty: Easy

A:

0

B:

1

C:

$-1$

D:

Undefined

View Solution Steps

What is the slope of the line having an equation $y=0$

Difficulty: Easy

A:

Product of slopes of 2 perpendicular lines is always

B:

1

C:

$-1$

D:

Undefined

View Solution Steps

If the slope of two lines is equal, the lines would be

Difficulty: Easy

A:

Intersecting

B:

Perpendicular

C:

Parallel

D:

Skewed

View Solution Steps

Find the distance AB between the two points A$(3,1)$ and B$(-2,-4)$.

Difficulty: Easy

A:

\sqrt{26}

B:

\sqrt{34}

C:

\sqrt{50}

D:

\sqrt{10}

View Solution Steps

The points $(4,-2)$, $(-2,4)$ and $(4,4)$ are the vertices of a triangle. Find the centroid of the triangle.

Difficulty: Easy

A:

$(2,2)$

B:

$(2,3)$

C:

$(3,2)$

D:

$(3,3)$

View Solution Steps

The slope of a line parallel to x-axis is

Difficulty: Easy

A:

0

B:

1

C:

$-1$

D:

Undefined

View Solution Steps

If two lines are anti-parallel then

Difficulty: Easy

A:

Their slopes are equal

B:

Slopes are opposite

C:

Product of slopes is $-1$

D:

Both A and B

View Solution Steps

$ax^{2}+2hxy+by^{2}+2gx+2fy+c=0$ represents a pair of straight lines if

Difficulty: Easy

A:

$a+b=0$

B:

$ab=0$

C:

h^{2}-ab=0

D:

All of these

View Solution Steps

Which of the following equations represent a horizontal line?

Difficulty: Easy

A:

$x=c$

B:

$x=-y$

C:

$x=y$

D:

$y=c$

View Solution Steps

Points P$(2,2)$, Q$(-2,2)$ and R$(k,4)$ represent the vertices of a Right Angled Triangle with right angle at P. Find the value of k

Difficulty: Easy

A:

$2$

B:

$-2$

C:

$4$

D:

$-4$

View Solution Steps