Chapter 5 slides
Presentation
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
Ramesh Parameswaran
Used 1+ times
FREE Resource
11 Slides • 8 Questions
1
2
A set of points in a plane which satisfy certain geometrical condition (or conditions) is called a locus.
L = {P | P is a point in a plane and P satisfy given geometrical condition} Here P is the representative of all points in L.
3
The circle with center O and radius 4 is the set L = { P | OP = 4, P is a point in the plane }
Set of points on a circle
The perpendicular bisector of segment AB is the set M = { P | P is a point in a plane such that PA = PB }.
Perpendicular bisector
4
Multiple Choice
The equation y = 0 represents what in the xy-plane?
y-axis
x-axis
origin
None of the above
5
Multiple Choice
L = {P | P is a point in the xy-plane which is 3 units away from (2, -3)}.
The locus L above represents which of the following below?
Rectangle
Square
Triangle
Circle
6
Fill in the Blanks
If the origin is shifted to the point O'(3,2) the directions of the axes remaining the same, find the new co-ordinates of the point (10, -5) and add the new x and y coordinates. Write the result as a number below.
7
Fill in the Blanks
If the co-ordinates (5,14) change to (8,3) by shift of origin, find the coordinates of the new origin and add them together. Write the result as a number below?
8
9
Multiple Choice
A line has its x-intercept to be a and -a respectively. What can you say about the slope of the line if it is given that a is negative?
Slope is 0.
Slope is undefined.
Slope is positive.
Slope is negative.
10
ax + by = c
11
12
13
(y - y1) ∕ (x - x1)= (y2 - y1 ) ∕ (x2 - x1)
14
x ∕ a + y ∕ b = 1
15
xcosα + ysinα = p
Normal form of a line:
16
17
Multiple Choice
Decide whether the line 2x − 4y = 5 and 2x + y = 17 are perpendicular to each other.
Yes
No
Cannot decide
None of the above.
18
Fill in the Blanks
Figure out the equation of a line which has a slope of 3 and has an x-intercecpt of 3.
After that, write the equation in the general form and figure out the value of a*b.
19
Multiple Choice
Find the equation of the line which is parallel to the line 3x + y = 5 and passes through the origin.
y = -5x
y = (1/3x)
y = 3x
y = -3x
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