equation y dx-(x+2y2)dy=0.(4) Q Find the particular solution of the 2017 differential equation (x-y) =(x+2y), given that y=0 when x=1.(6) Q Using the method of integration, find the 2017 area of the triangle ABC, coordinates of whose vertices are A(4,1), B(6,6) and C(8,4). OR Find the area enclosed between the parabola 4y=3x2 and the straight line Q AB is the diameter of a circle and C is an 2017 point on the circle. Show that the area of triangle ABC is maximum, when it is an isosceles triangle.(6) Q. Find the value of a and b,if the following 2016 function f(x) = is continuous at x=0. (4) Q If x cos(a+y)= cosy then prove that = 2016 hence show that sina + sin2(a+y) = 0. OR Find if y = sin-1 (4) Q. Find the equation of tangents to the curve 2016 y= + 2x – 4, which are perpendicular to line x + 14y + 3 = 0. (4) Q Find : dx 2016 OR Find : dx (4)
equation y dx-(x+2y2)dy=0.(4) Q Find the particular solution of the differential equation (x-y) =(x+2y), given that y=0 when x=1.(6) 2017 Q Using the method of integration, find the area of the triangle ABC, coordinates of whose vertices are A(4,1), B(6,6) and C(8,4). OR Find the area enclosed between the parabola 4y=3x2 and the straight line 2017 Q AB is the diameter of a circle and C is an point on the circle. Show that the area of triangle ABC is maximum, when it is an isosceles triangle.(6) 2017 Q. Find the value of a and b,if the following function f(x) = is continuous at x=0. (4) 2016 Q If x cos(a+y)= cosy then prove that = hence show that sina + sin2(a+y) = 0. OR Find if y = sin-1 (4) 2016 Q. Find the equation of tangents to the curve y= + 2x – 4, which are perpendicular to line x + 14y + 3 = 0. (4) 2016 Q Find : dx OR Find : dx (4) 2016
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