1.A particle moves in the xyxyxy-plane along y=x3−9x2y=x^3-9x^2y=x3−9x2. Which can be a unit vector in the direction of motion at a point P(x,y)P(x,y)P(x,y) on the curve?a.(1, 3x2−18x)1+(3x2−18x)2\dfrac{(1,\,3x^2-18x)}{\sqrt{1+(3x^2-18x)^2}}1+(3x2−18x)2(1,3x2−18x)b.(1, 0)1+0\dfrac{(1,\,0)}{\sqrt{1+0}}1+0(1,0)c.(0, 1)1\dfrac{(0,\,1)}{1}1(0,1)d.(3x2−18x, 1)1+(3x2−18x)2\dfrac{(3x^2-18x,\,1)}{\sqrt{1+(3x^2-18x)^2}}1+(3x2−18x)2(3x2−18x,1)Login to continueOnly logged in users canattempt or see the solution.
