M2 Diploma Important Question 1.Find the Equation to the straight line cutting off y-intercept 5 units and making inclination 130 °? 2.Find the focus and equation to directrix of the parabola y^2=40X? 3.Find the equation of parabola with focus at(3,0) and x-axis is theaxis of the parabola? 4.If y=(x^2+5x).logx find dy/dx? 5.Differeantaiye 10x^2 +3e^2x-cos^-1(x) w.r.t x? 6.If y=logx/(1+sinx) dind dy/dx? 7.If x=a tan θ , y=a sec θ.find dy/dx at θ= π/4? 8.Evaluate all problems? 9.Find the equation to the straight line passing through the point(4,3) and parallel to the line 3x+5y-3=0? 10.If y=1-x^2/1+x^2 find dy/dx? 11.If y=tan^-1x ,show that (1+x^2)y^2+2xy1=0? 12.Tha radius of a spheare is increasing at the rate of 2cm/sec. Find the rate of increase of the volume when the radius is 6cm? 13.Find the volume generated by rotating the curve y=x+2 about xaxis between x=0 & y x=2? 14.Diffreantiate sinx w.r.t to x ...