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1326

Let An be the area bounded by the curve y = (tanx)n and the line
x = 0, y = 0 and . Prove that for  . Hence deduce that
 

Let An be the area bounded by the curve y = (tanx)n and the line
x = 0, y = 0 and . Prove that for  . Hence deduce that
 

IIT 1996
1327

Consider the circle x2 + y2 = 9 and the parabola y2 = 8x. They intersect P and Q in the first and fourth quadrants respectively. Tangents to the circle at P and Q intersect the X–axis at R and tangents to the parabola at P and Q intersect the X- axis at S. The radius of the incircle of △PQR is

a) 4

b) 3

c)

d) 2

Consider the circle x2 + y2 = 9 and the parabola y2 = 8x. They intersect P and Q in the first and fourth quadrants respectively. Tangents to the circle at P and Q intersect the X–axis at R and tangents to the parabola at P and Q intersect the X- axis at S. The radius of the incircle of △PQR is

a) 4

b) 3

c)

d) 2

IIT 2007

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