Area of the curve `x^2+y^2=2ax` is (A) `pia^2` (B) `2pia^2` (C) `4pia^2` (D) `(pia^2)/2`

Area bounded by the curve y^2(2a-x)=x^3 and the line x=2a is (A) 3pia^2 (B) (3pia^2)/2 (C) (3pia^2)/4 (D) none of these

Area bounded by the curves y=x and y=x^3 is (A) 1/2 (B) 1 (C) 3/2 (D) 2

The line y = x + 1 is a tangent to the curve y^2=4x at the point(A) (1, 2) (B) (2, 1) (C) (1, 2) (D) ( 1, 2)

The area bounded by the curve x=at^2, y=2at and the x-axis, 1 le t le 3 , is (A) 26a^2 (B) 8a^2 (C) 26/3a^2 (D) 104/3a^2

The equation of common tangent to the curves y^2 =4x and xy=2 is (A) x+2y-4=0 (B) x+2y+4=0 (C) x-2y+4=0 (D) x-2y-4=0

The equation of common tangent to the curves y^2 =4x and xy=2 is (A) x+2y-4=0 (B) x+2y+4=0 (C) x-2y+4=0 (D) x-2y-4=0

Area bounded by the curve x y^2=a^2(a-x) and the y-axis is (pia^2)/2s qdotu n i t s (b) pia^2s qdotu n i t s 3pia^2s qdotu n i t s (d) None of these

The area bounded by the region between curves y=x^2 +2, x=0, x=3, y=x+1 is s (A) 15/2 (B) 15/4 (C) 15/3 (D) 17/2

The area bounded by the region between curves y=x^2 +2, x=0, x=3, y=x+1 is s (A) 15/2 (B) 15/4 (C) 15/3 (D) 17/2

The line y=mx+1 is a tangent to the curve y^2=4x if the value of m is(A) 1 (B) 2(C) 3(D) 1/2.