The elimination of θ from xcosθ - ysinθ = 2 and xsinθ + ycosθ = 4 will give:
A. 3x2 - y2 = 20
B. x2 + y2 = 20
C. 3x2 + y2 = 20
D. x2 - y2 = 20
Answer: Option B
Solution (By Examveda Team)
xcosθ - ysinθ = 2 . . . . . . (i)xsinθ + ycosθ = 4 . . . . . . (ii)
Squaring equation (i) and equation (ii) and adding-
x2 + y2 = 20
Related Questions on Coordinate Geometry
In what ratio does the point T(x, 0) divide the segment joining the points S(-4, -1) and U(1, 4)?
A. 1 : 4
B. 4 : 1
C. 1 : 2
D. 2 : 1
A. 2x - y = 1
B. 3x + 2y = 3
C. 2x + y = 2
D. 3x + 5y = 1
If a linear equation is of the form x = k where k is a constant, then graph of the equation will be
A. a line parallel to x-axis
B. a line cutting both the axes
C. a line making positive acute angle with x-axis
D. a line parallel to y-axis

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