1 1. Find the equations of tangent to the curve the value of a given 1= 3x* + 5x + I at the points where the line y = 4x +3 intersect the curve. 12. Find the coordinates of the point on the curve value of a given that vx x - I where the gradient is 2. 13. Find the equations of normal to the curve urve y= x +6x-4 g: x ->6x + x -I where the curve cuts the arve cuts the y - axis. x-axis. points where the 14. Find the equation of the tangent to the curve the x-axis and J =3x -2x* at the point where x = y= x -x-12 at 15. Find the equation of tangent and normal to the parabola x' + 3xy -213 =2 at 4(2, 1) gent to the curve (2, -5) 16. Ify = x3 -4x +5, find the coordinates of the point on the curve where the tangent makes curve an angle of 1350 with the positive x-axis nd the gradient of its. 17. If y = px* + qx has a gradient of-2 at the point (1, 1). Find the values of p and q. -6 at (3, 3) is the 18. Find the coordinates of the point on the curve x -3x at (a, b). y= x -3x2 -3x +4 at which the normal is perpendicular to the line 67 + x =5 and normal to the 19. Find the value(s) of m if y = x + mis a tangent to the curve y = 3x2 -2x +1 al to the curve 20. Find the angle of slope of the tangent to the here the curve curvey = x - 6x, at the point (2, 3) 21. Find the coordinates of the point and the the curve equation of tangent to the curve ve cuts the y= x - 3x +4 at the point where the tangent section of these makes an angle 135 with the positive x-axis. 330