Worksheet on Quadrants
We know there are four quadrants in a regular cartesian co-ordinate; in math worksheet on quadrants we will practice the basic questions on quadrants.
Recall the process to solve the questions given in the worksheet on quadrants;
x, y are real and positive then the point
Having co-ordinate (x, y) lies in the first quadrant,
Having co-ordinate (-x, y) lies in the second quadrant,
Having co-ordinate (-x, -y) lies in the third quadrant,
Having co-ordinate (x, -y) lies in the fourth quadrant.
1. In which quadrant do the following points lie?
(I) (2, - 7)
(ii) (√5 - 3, - 2)
(iii) (√2 - 1, 3 -√3)
(Iv) (- 5, √7- 2)
(v) (x, y).
2. Points Q, R and S lie on 1st, 2nd, 3rd and 4th quadrants respectively. If dm Minima of each of them from the co-ordinate axes be 6 and 4 units irspritively, write down their co-ordinates.
3. What do you mean by rectangular Cartesian co-ordinates of a point? What do you know about co-ordinates of points lying on x-axis and y-axis? Where do the following points lie?
(i) (4, 0) (ii) (0, - 6) (iii) (0, 3) (iv) (- 5, 0).
4. The sides of the rectangle ABCD are parallel to the co-ordinate axes. If the co-ordinates of the vertices B and D be (7, 3) and ( 2, 6) respectively, find the co-ordinates of the vertices A and C.
Answers for the worksheet on quadrants are given below to check the exact answers of the above questions. Answers:
1. (i) 4th quadrant
(ii) 3rd quadrant
(iii) 1st quadrant
(iv) 2nd quadrant
(v) 1st quadrant if x and y are both positive ; 2nd quadrant if x is negative and y positive ; 3rd quadrant if x and y are both negative ;4th quadrant if x is positive and y negative
2. P(4, 6), Q (-4, 6) ,R (-4, -6),S (4, -6);
3. (i) on positive x-axis
(ii) on positive y-axis
(iii) on positive y-axis
(iv) on positive x-axis;
4. A(2, 3) and C(7, 6);
● Co-ordinate Geometry
What is Co-ordinate Geometry? Rectangular Cartesian Co-ordinates Polar Co-ordinates Relation between Cartesian and Polar Co-Ordinates Distance between Two given Points Distance between Two Points in Polar Co-ordinates Division of Line Segment: Internal & External Area of the Triangle Formed by Three co-ordinate Points Condition of Collinearity of Three Points Medians of a Triangle are Concurrent Apollonius' Theorem Quadrilateral form a Parallelogram Problems on Distance Between Two Points Area of a Triangle Given 3 Points Worksheet on Quadrants Worksheet on Rectangular – Polar Conversion Worksheet on Line-Segment Joining the Points Worksheet on Distance Between Two Points Worksheet on Distance Between the Polar Co-ordinates Worksheet on Finding Mid-Point Worksheet on Division of Line-Segment Worksheet on Centroid of a Triangle Worksheet on Area of Co-ordinate Triangle Worksheet on Collinear Triangle Worksheet on Area of Polygon Worksheet on Cartesian Triangle
11 and 12 Grade Math
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