Coordinate Geometry Test

Result

Coordinate Geometry Test - 12

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Rank
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Weekly Quiz Competition

Question 1
1 / -0

Use the following information to answer the next question.

Krista takes 5 hours to read a book whereas Jasmine takes only 3 hours to read the same book.

If x is the time taken by Krista to read 2 books and y is the time taken by Jasmine to read 3 books, then the point with co-ordinates(x, y) lies in which of the following quadrants?

A
I

B
II

C
III

D
IV

Solution

The time taken by Krista to read 1 book = 5 hours

Therefore, the time taken by Krista to read 2 books will
be = 5 × 2 = x = 10 hours

The time taken by Jasmine to read 1 book = 3 hours

Therefore, the time taken by Jasmine to read 3 books will
be = y = (3 × 3) = 9 hours

Thus, x = 10 and y =9

⇒ (x, y) = (9,10) will lie in the I quadrant.

The correct answer is A.
Question 2
1 / -0

In which of the following quadrants is the value of the x coordinate negative and that of the y coordinate positive?

A
1^st

B
2^nd

C
3^rd

D
4^th

Solution

Only in the 2^nd quadrant, the value of the x coordinate is negative and that of the y coordinate is positive.

The correct answer is B.
Question 3
1 / -0

If x + 4 = 6 and y − 7 = 3, then the value of (x −3, y −3) will lie in which of the following quadrants?

A
IV

B
III

C
II

D
I

Solution

The equations are x + 4 = 6 and y − 7 = 3

⇒ x = 6 − 4 = 2 y = 3 + 7 = 10

Thus, (x −3, y −3) = (− 1, 7)

x is negative and y is positive. Therefore, the point lies in the II quadrant.

The correct answer is C.
Question 4
1 / -0

Which of the following ordered pairs lies in the II^nd quadrant?

A
(−1, −2)

B
(−1, 2)

C
(1, −2)

D
(1, 2)

Solution

The ordered pair (−1, −2) lies in the III^rd quadrant.

The ordered pair (−1, 2) lies in the II^nd quadrant.

The ordered pair (1, −2) lies in the IV^th quadrant.

The ordered pair (1, 2) lies in the I^st quadrant.

The correct answer is B.