# 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.

Solution:
(i) x3+y4+17 = 0

Solution:

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.

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.

Solution:

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