SAGAR SINGH - IIT DELHI
Last Activity: 14 Years ago
Dear nitin,
- The slope of the tangent is equal to 3. At the point of tangency y ' = 3.
y ' = 2 x = 3
- Solve the equation 2 x = 3 to find the x coordinate of the point of tangency.
x = 3 / 2
- The point of tangency is on the line y = 3 x, therefore the y coordinate of the point of tangency is equal to
y = 3 (3/2) = 9 / 2
- The point of tangency (3 / 2 , 9 / 2) is on the curve
y = x 2 + p and is therefore used to find p as follows
9 / 2 = (3 / 2) 2 + p
- Solve the above for p to obtain
p = 9 / 4
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Sagar Singh
B.Tech IIT Delhi