Practice the questions given in the worksheet on two-point form of the straight line.
If a straight line passes through the points (x(_{1}\), y(_{1}\)) and (x(_{2}\), y(_{2}\)) then its equation is y - y\(_{1}\) = \(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)(x - x\(_{1}\)), and the slope of the straight line is \(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)
1. Find the equations of the straight lines joining each of the following pair of points
(i) (- 3, - 4) and (2, 5)
(ii) (0, b) and (- a, 0)
(iii) (at\(_{1}\)\(^{2}\), 2at\(_{1}\)) and (at\(_{2}\)\(^{2}\), 2at\(_{2}\))
(iv) (a cos α, a sin α) and (a cos β, a sin β).
2. Find the equation and the slope of the line joining the
points
(i) (1, 6), (6, 1)
(ii) (-2, 1), (3, -2)
(iii) Origin and (-3, 1)
(iv) (3, 4), (-2, 4)
(v) (7, 0), (0, 3)
3. Find the equation and the slope of the line joining the points A on the x-axis and B on the y-axis if
(i) OA = 4, OB = 5
(ii) OA = -2, OB= 3
(iii) OA = -1, OB = -2, where O is the origin.
Answers for the worksheet on two-point form of the straight line are given below:
Answers:
1. (i) 9x - 5y + 7 = 0
(ii) bx - ay + ab = 0
(iii) y(t\(_{1}\) + t\(_{2}\)) - 2x = 2at\(_{1}\)t\(_{2}\)
(iv) x cos\(\frac{α + β}{2}\) + y sin\(\frac{α + β}{2}\) = a cos\(\frac{α - β}{2}\)
2. (i) x + y - 7 = 0
(ii) 3x + 5y + 1 = 0
(iii) x + 3y = 0
(iv) y = 4
(v) 3x + 7y - 21 = 0
3. (i) 5x + 4y - 20 = 0
(ii) 3x - 2y + 6 = 0
(iii) 2x + y + 2 = 0
● Equation of a Straight Line
From Worksheet on Slope and Intercepts to HOME
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Dec 10, 24 02:35 PM
Dec 09, 24 10:39 PM
Dec 09, 24 01:08 AM
Dec 08, 24 11:19 PM
Dec 07, 24 03:38 PM
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.