ThePrismSolutions
Q1. Find the slope of the curve y^{2} = 4x at th point (1,2).
Q2. Show that the tangents to the curve y^{2} = 2ax at the points where x = a/2 are at right angles.
Q3 Find the angle between the tangents to the curve x^{2} = 8y + 6 at the point (0,3/4) and (4,5/4).
Q4. Find the angle between the tangent lines to the curve x^{2} + y^{2} = 1 at points (1,0) and (0,1).
Q5. Find the coordinates of the points on the curve 2x^{2} + 3xy + 4y^{2} = 9 at which its slope is (7/11).
Q6. Find the point on the curve y^{2} = 4ax, the tangent at which is inclined to the xaxis at 45 deg
Q7. Find the point (s) on the curve:
2y = 3  x^{2} at which the tangent is parallel to the line x + y = 0.
Q8. Find the point (s) on the curve:
y = 5x^{2}  2x^{3} at which the tangent is parallel to the line y4x =5.
Q9. Find the point on the curve y = x ^{3}11x+5 at which the tangent has the equation y = x11.
Q10. Find the angle of intersection of the curve y = x^{2 } and y = x^{3}
ANSWER
1. 1
3. 45°
4. 90°
5. (1,1) and (1, 1)
6. (a, 2a)
7.(1,1)
8. (1,3)
9. (2,9)
10. tan
^{1}1/7, 0
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