Solved MCQ: Coordinate Geometry - Case Based Type Questions | Mathematics (Maths) Class 9 PDF Download

Five friends playing a game in which they are standing at different positions, P, S, T, R and

Rohan is watching them playing. Few questions came to Rohan's mind while watching the game. Give answer to his questions by looking at the figure.
Q1. Name the point whose y-co-ordinate is zero :
(a) P
(b) Q
(c) R
(d) S
Ans: b
Sol: As point Q lies on x-axis. Therefore, its y-coordinate is zero.

Q2. Name the point lying in the third quadrant.
(a) R
(b) P
(c) Q
(d) T
Ans: a
Sol: In third quadrant, both x-co-ordinate and y-coordinate are negative.

Q3. What are the coordinates of P?
(a) (– 1, 1)
(b) (1, – 1)
(c) (1, 1)
(d) (– 1, – 1)
Ans: c
Sol: The Coordinate of P is (1, 1)

Q4. Name the polygon formed on joining all these points .
(a) Quadrilateral
(b) Hexagon
(c) Pentagon
(d) Triangle
Ans: c
Sol:  Pentagon (5 sided polygon).

Q5. (x, y) = (y, x), if :
(a) x > y
(b) x < />
(c) 
(d) 
Ans: c
Sol: 

Since,
⇒ x = y
Also, (x, y) = (y, x), if x = y

Sohan draws a gate of a temple on the graph paper. He has following points :
(– 1, 0), (1, 0), (1, 1), (– 1, 1) and (0, 2) 

Q1. In which quadrant (– 1, 1) lies ?
(a) 1^st quadrant
(b) 2^nd quadrant
(c) 3^rd quadrant
(d) 4^th quadrant
Ans: b
Sol: In 2^nd quadrant, x-co-ordinate is negative and y-coordinate is positive.

Q2. Write the abscissa of the point (0, 2).
(a) 0
(b) 2
(c) – 2
(d) 1
Ans: a
Sol: x-co-ordinate of a point also called abscissa.

Q3. Name the closed figure obtained.
(a) Triangle
(b) Quadrilateral
(c) Pentagon
(d) Hexagon
Ans: c
Sol: A pentagon has five sides.

Q4. Write the ordinate of the point (1, 0).
(a) 1
(b) 0
(c) 2
(d) – 1
Ans: b
Sol: y-co-ordinate of a point also called ordinate.

Q5. Which point from the following lies on Y-axis ?
(a) (1, 1)
(b) (1, 0)
(c) (0, 2)
(d) (– 1, 1)
Ans: c
Sol: On Y-axis, x-co-ordinate is zero.