Question

1) How many lines are there which are parallel to X axis and having a distance 5 unit?
Write the equation.​

Answer 1

1. State in which quadrant or on which axis do the following points lie.

(1)A(-3, 2) (2) B(-5, -2), (3) K(3.5, 1.5) (4) D(2, 10)

(5) E(37, 35) (6) F(15, -18) (7) G(3, -7) (8) H(0, -5)

(9) M(12, 0) (10) N(0, 9) (11) P(0, 2.5) (12) Q(-7, -3)

Solution:

1. For the point A(-3,2), x co-ordinate is negative and y co-ordinate is positive.

Hence the point is in second quadrant.

2. For the point B(-5,-2), x co-ordinate is negative and y co-ordinate is negative.

Hence the point is in third quadrant.

3. For the point K(3.5,1.5), x co-ordinate is positive and y co-ordinate is positive.

Hence the point is in first quadrant.

4. For the point D(2,10), x co-ordinate is positive and y co-ordinate is positive.

Hence the point is in first quadrant.

5. For the point E(37,35), x co-ordinate is positive and y co-ordinate is positive.

Hence the point is in first quadrant.

6. For the point F(15,-18), x co-ordinate is positive and y co-ordinate is negative.

Hence the point is in fourth quadrant.

7. For the point G(3,-7), x co-ordinate is positive and y co-ordinate is negative.

Hence the point is in fourth quadrant.

8. For the point H(0,-5), x co-ordinate is zero and y co-ordinate is negative.

Hence the point lies on Y axis.

9. For the point M(12,0), x co-ordinate is positive and y co-ordinate is xero.

Hence the point lies on X axis.

10. For the point N(0,9), x co-ordinate is zero and y co-ordinate is positive.

Hence the point lies on Y axis.

11. For the point P(0,2.5), x co-ordinate is zero and y co-ordinate is positive.

Hence the point lies on Y axis

12. For the point Q(-7,-3), x co-ordinate is negative and y co-ordinate is negative.

Hence the point is in third quadrant.

2. In which quadrant are the following points ?

(i) whose both co-ordinates are positive.

(ii) whose both co-ordinates are negative.

(iii) whose x co-ordinate is positive, and the y co-ordinate is negative.

(iv) whose x co-ordinate is negative and y co-ordinate is positive.

Solution:

(i) If both co-ordinates are positive, then the point lies in first quadrant.

(ii) If both co-ordinates are negative, then the point lies in third quadrant.

(iii) If x co-ordinate is positive and the y co-ordinate is negative, then the point lies in fourth quadrant.

(iv) If x co-ordinate is negative and the y co-ordinate is positive, then the point lies in second quadrant.

Answer 2

Two lines

Solution:-

The equations of the lines parallel to X- axis and at a distance 5 units from it are y= 5 and y= -5.Thus, there are two lines which are parallel to X- axis and having a distance 5 units from it.

hope it's help you