# 10th Maths Chapter 5 Coordinate Geometry Exercise 5.4

10th Standard Maths Chapter 5 Coordinate Geometry Exercise 5.4 Guide. TN SSLC Samacheer Kalvi Guide Chapter 5 Exercise 5.4 Book Back Answers & Solutions. 10th All Subject Guide – Click Here. Class 1 to 12 All Subject Book Back Answers – Click Here.

### 1. Find the slope of the following straight lines

- (i) 5y – 3 = 0
- (ii) 7x−3/17 = 0

**Solution:**

### 2. Find the slope of the line which is

- (i) parallel to y = 0.7x -11
- (ii) perpendicular to the line x = -11

**Solution:**

(i) y = 0.7x – 11

line parallel to y = 0.7x – 11 is y = 0.7x + C

If the lines are parallel, slopes are equal

∴ The slope of the required line is 0.7.

(ii) m = tan θ = tan 90°= ∞ undefined.

### 3. Check whether the given lines are parallel or perpendicular

**Solution:
**(i) x3+y4+17 = 0

### 4.If the straight lines 12y = -(p + 3)x + 12, 12x – 7y = 16 are perpendicular then find ‘p’.

**Solution:**

### 5. Find the equation of a straight line passing through the point P (-5, 2) and parallel to the line joining the points Q(3, -2) and R(-5, 4).

**Solution:**

### 6. Find the equation of a line passing through ; (6, -2) and perpendicular to the line joining the points (6, 7) and (2, -3).

**Solution:
**Slope of line joining (6, 7) and (2,-3) is

### 7. A(-3, 0) B(10, – 2) and C(12, 3) are the vertices of ∆ABC . Find the equation of the altitude through A and B.

**Solution:
**A(-3, 0), B(10, -2), C(12, 3)

Since AD ⊥ BC

(1), (2) are the required equations of the altitudes through A and B.

### 8. Find the equation of the perpendicular bisector of the line joining the points A(-4, 2) and B(6, -4).

**Solution:**

Mid Point AB is

### 9. Find the equation of a straight line through the intersection of lines 7x + 3y = 10, 5x – 4y = 1 and parallel to the line 13x + 5y + 12 = O

**Solution:**

l1 passes through the intersecting point.

### 10. Find the equation of a straight line through the intersection of lines 5x – 6y = 2, 3x + 2y = 10 and perpendicular to the line 4x – 7y + 13 = 0

**Solution:**

### 11. Find the equation of a straight line joining the point of intersection of 3x + y + 2 = 0 and x – 2y – 4 = 0 to the point of intersection of 7x – 3y = -12 and 2y = x + 3

**Solution:**

### 12. Find the equation of a straight line through the point of intersection of the lines 8x + 3+ = 18, 4x + 5+ = 9 and bisecting the line segment joining the points (5, -4) and (-7, 6).

**Solution:
**The intersecting point of the lines