Q1. Find the slope of the curve y2 = 4x at th point (1,2).
Q2. Show that the tangents to the curve y2 = 2ax at the points where x = a/2 are at right angles.
Q3 Find the angle between the tangents to the curve x2 = 8y + 6 at the point (0,-3/4) and (4,5/4).
Q4. Find the angle between the tangent lines to the curve x2 + y2 = 1 at points (1,0) and (0,1).
Q5. Find the co-ordinates of the points on the curve 2x2 + 3xy + 4y2 = 9 at which its slope is (-7/11).
Q6. Find the point on the curve y2 = 4ax, the tangent at which is inclined to the x-axis at 45 deg
Q7. Find the point (s) on the curve:
2y = 3 - x2 at which the tangent is parallel to the line x + y = 0.
Q8. Find the point (s) on the curve:
y = 5x2 - 2x3 at which the tangent is parallel to the line y-4x =5.
Q9. Find the point on the curve y = x 3-11x+5 at which the tangent has the equation y = x-11.
Q10. Find the angle of intersection of the curve y = x2 and y = x3
5. (1,1) and (-1, -1)
6. (a, 2a)
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