Find the maximum area of circle which touches the parabolas `y=x^2+1` and `y=x^2-1` (i) `((9pi)/16)` sq.unit (ii) `((9pi)/32)` sq.unit (iii) `((9pi)/8)` sq.unit (iv) `((9pi)/4)` sq.unit

The area bounded by the curves y=x^(2) and y=(2)/((1+x^(2))) is (pi-(2)/(3)) sq.unit (B)(pi+(2)/(3)) sq.unit (C) (pi+(4)/(3)) sq.unit (D) none of these

The area of the region bounded by the ellipse x^2/25+y^2/16=1 and the straight line x/5+y/4=1 is….. a) (pi-2) sq.units b) 2(pi-2) sq.units c) 4(pi-2) sq.units d) 5(pi-2) sq.units

Area enclosed by the curve (y-sin^(-1)x)^(2)=x-x^(2), is (A) (pi)/(2) sq.units (B) (pi)/(4) sq.units (C) (pi)/(8) sq.units (D) none of these

If the parabola y=(x^(2))/(2) divides the circle x^(2)+y^(2)=8 into two parts,then the area of the parts may be (A) 6 pi+(4)/(3) sq.units (B) 2 pi-(4)/(3) sq.units (C) pi+(4)/(3) sq.units (D) 6 pi-(4)/(3) sq.units

The area bounded by the parabolas y=(x+1)^(2) and y=(x-1)^(2) and y=(x-1)^(2) and the line y=(1)/(4) is 4 sq.units (b) 1/6 sq.units 4/3 sq. units (d)1/3 sq.units

The area of the region included between the parabolas y^(2) = 16x and x^(2) = 16y , is given by …….. sq.units

The area bounded by the parabolas y=(x+1)^2 and y=(x-1)^2a n dy=(x-1)^2 and the line y=1/4 is (a)4 sq. units (b) 1/6 sq. units 4/3 sq. units (d) 1/3 sq. units

The area bounded by the parabolas y=(x+1)^2 and y=(x-1)^2a n dy=(x-1)^2 and the line y=1/4 is 4 sq. units (b) 1/6 sq. units 4/3 sq. units (d) 1/3 sq. units

The area bounded by the parabola y=(x+1)^2 and y=(x-1)^2 and the line y=1/4 is (A) 4 sq. units (B) 1/6 sq. units (C) 3/4 sq. units (D) 1/3 sq. units

The area of the region bounded by x^(2)+y^(2)-2x-3=0 and y=|x|+1(pi)/(2)-1 sq.units (b) 2 pi sq. units 4 pi sq. units (d) (pi)/(2) sq.units