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  1. What is the equation of a line perpendicular to the line x – 7y + 5 = 0 and having x-intercept 3?
    1. x + 7y = 21
    2. 7x + y = 21
    3. x + 2y = 10
    4. –x + y = 15
Correct Option: B

Let the slope of line be m Here,

m1 =
- 1
=
1
- 77

As lines are perpendicular,
∴ m1 × m2 = –1
m ×
1
= - 1
7

m = –7
∴ Equation of line is (y – y1) = m(x – x1) (y – 0)
= –7(x – 3) y = –7x + 21
⇒ 7x + y = 21



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