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Aptitude · Q55

Coordinate Geometry

Competitive Exams · Aptitude · question 55

Q55

The elimination of θ from xcosθ - ysinθ = 2 and xsinθ + ycosθ = 4 will give:

A.
3x2 - y2 = 20
B.
x2 + y2 = 20
Answer
C.
3x2 + y2 = 20
D.
x2 - y2 = 20

Answer: Option B

Solution

Answer: Option B
Solution:
xcosθ - ysinθ = 2 . . . . . . (i)
xsinθ + ycosθ = 4 . . . . . . (ii)
Squaring equation (i) and equation (ii) and adding-
x2 + y2 = 20