Question 1: Find the slope of the lie whose inclination is:

Answer:

Question 2: Find the inclination of the line whose slope is:

Answer:

Question 3: Find the slope of the line passing through the following pairs of points:

Answer:

Question 4: Find the slope of the line parallel to AB if:

Answer:

Question 5: Find the slope of the line perpendicular to AB if:

Answer:

Question 6: The line passing through is parallel to the line passing through . find

Answer:

Since the two lines are parallel to each other, their slope must be equal. Therefore

Question 7: The line passing through is perpendicular to the line passing through . Find

Answer:

Since the two lines are perpendicular to each other, the product of their slopes should be equal to . Therefore

Question 8: Without using distance formula, show that the points are the vertices of a right-angled triangle.

Answer:

is perpendicular to .

is a right angled triangle.

Question 9: Without using distance formula, show that the points are the vertices of a parallelogram.

Answer:

is a parallelogram.

Question 10: are the vertices of a quadrilateral. Show that the quadrilateral, obtained on joining the mid-points of its sides is a parallelogram.

Answer:

be the vertices of the quadrilateral.

is a parallelogram.

Question 11: Show that the points are collinear.

Answer:

are collinear.

Question 12: Find , if the slope of the line joining is

Answer:

Given slope of the line joining is .

Question 13: The side of an equilateral triangle is parallel to the . Find the slopes of all the sides.

Answer:

Question 14: The side of a square is parallel to the . Find the slopes of all its sides. Also, find: i) The slope of the diagonal , ii) The slope of the diagonal

Answer:

Question 15: are the vertices of a triangle . Find: i) The slope of the altitude of ii) The slope of the median and iii) The slope of the line parallel to

Answer:

Let slope of Altitude

be the midpoint of

Therefore coordinates of

Therefore slope of line parallel to

Question 16: The slope of the side of a rectangle is . Find: i) The slope of the side , ii) The slope of the side

Answer:

Question 17: Find the slope and the inclination of the line if:

Answer:

Inclination :

Inclination :

Inclination :

Question 18: The points are collinear. Find

Answer:

are collinear

Question 19: The points are collinear. Find

Answer:

are collinear

Question 20: Plot he points on a graph paper. Connect , and also . Which segment appears to have the steeper slope, ? Justify your conclusion by calculating the slopes of

Answer:

Inclination :

Inclination :

Question 21: Find the value(s) of so that will be parallel to Given:

Answer:

=

=