ParabolaHard
Question
The parabolas y2 = 4x and x2 = 4y divide the square region bounded by the lines x = 4, y = 4 and the coordinate axes. If S1, S2, S3 are respectively the areas of these parts numbered from top to bottom; then S1 : S2 : S3 is
Options
A.1 : 2 : 1
B.1 : 2 : 3
C.2 : 1 : 2
D.1 : 1 : 1
Solution
y2 = 4x and x2 = 4y are symmetric about line y = x
⇒ area bounded between y2 = 4x and y = x is
⇒ AS2 =
and AS1 = AS3 =
⇒ AS1 : AS2 : AS3 :: 1 : 1 : 1.
⇒ area bounded between y2 = 4x and y = x is
⇒ AS2 =
and AS1 = AS3 = ⇒ AS1 : AS2 : AS3 :: 1 : 1 : 1.
Create a free account to view solution
View Solution FreeMore Parabola Questions
The angle between normal chords of a parabola which subtend right angle at the vertex is tan-1 k, then k is...Length of the normal chord of the parabola, y2 = 4x, which makes an angle of with the axis of x is -...Tangents are drawn from the points on the line x - y + 3 = 0 to parabola y2 = 8x. Then the variable chords of contact pa...The line 2(x - a) + cy = 0 cuts the parabola y2 = 8x at P(2t12, 4t1) and Q(2t22, 4t2). If a∈ [2,4] and c ∈ R...Point P lies on y2 = 4ax & N is foot of perpendicular from P on its axis. A straight line is drawn parallel to the axis ...