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TS EAMCET · Maths · Straight Lines

If xcosα+ysinα=p is the normal form of the equation of a straight line x+3y+4=0 and a, b are respectively X,Y- intercepts of this line, then 3πbp- 3aα=

  1. A 0
  2. B 1
  3. C π2
  4. D 8π
Verified Solution

Answer & Solution

Correct Answer

(D) 8π

Step-by-step Solution

Detailed explanation

For a & b, put x=0 & y=0 in the equation x+3y+4=0 respectively. ⇒a=-4 & b=-43 Given, x+3y+4=0 and xcosα+ysinα=p represents the same line ∴α=4π3 & p=2 Now,…