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NTA Abhyas JEE Main2020MathematicsStraight LinesPractice

The line through the points m , - 9 and 7 , m has slope m . Then, the x -intercept of this line is

Options

A- 18
B- 6
C6
D18

Correct answer

C. 6

Step-by-step solution

Given, m = m + 9 7 - m ⇒ 7 m - m 2 = m + 9 ⇒ m 2 - 6 m + 9 = 0 ⇒ m = 3 So, the equation of line is y + 9 = 3 x - 3 y = 0 ⇒ x = 6 Hence, the x -intercept of the line is 6

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