Points in Different Quadrants

Q.

If any point P(x, y) is in the II Quadrant then the value of x is ___ and the value of y is positive.

Q. Question 38
Find the coordinates of all letters in the graph given below.

Q. For x = -3, y = -2, u = -9, v = 13 the point (x+y, u+v) lies in which quadrant? (2 mark)

Q. Find the length of the hypotenuse of the right triangle formed by joining the given points.
$A(-4,4),B(-4,-5),C(7,-5)$

1. $\sqrt{102}$ units
2. $\sqrt{202}$ units
3. $\sqrt{84}$ units
4. $\sqrt{164}$ units

Q. 4 friends are seated at points A, B, C, and D in a classroom, as shown in the following figure. Amy walked into the class, and after observing for a few minutes, she thought, “ABCD must be a square”. State whether Amy’s statement is correct or not.

1. Can't be determined
2. None of the above
3. Yes
4. No

Q. Which of the following options is correct with respect to the distances $a$ and $b?$
$a=$ Distance between the points $(3,4)$ and $(-3,4).$
$b=$ Distance between the points $(3,4)$ and $(3,-4).$

1. $a>b$
2. $a<b$
3. $a=b$
4. None of the above

Q.

If any point P(x, y) is in the II Quadrant then the value of x is ___ and the value of y is positive.

Q. Question 37
From the given graph, choose the letters that indicate the location of the points given below.

Q.

Find the quadrant in which the following points lie:

(i) (5, 10); (ii) (−8, 9); (iii) (−800, −3000); (iv) (8, −100).

Q. Jack started from his home (2, 2) and moved 6 units on the positive x-axis and 10 units on the positive y-axis to reach his office. Find the distance between Jack's home and office in miles. (Take √34 = 5.8)

1. 12.6 units
2. 11 units
3. 11.6 units
4. 16 units

Q.

If any point P(x, y) is in the II Quadrant then the value of x is ___ and the value of y is positive.