A level Maths question Help
The curve C'has the equation y =x - 3x^1/2 + 3 and passes through the point P (4, 1).
a) Show that the tangent to C at P passes through the origin.
The normal to C at P crosses the y-axis at the point Q.
b) Find the area of triangle OPQ, where O is the origin.
For part b) I don’t understand how they managed to get the area as 34
Can somebody please help me out?
Thank you
a) Show that the tangent to C at P passes through the origin.
The normal to C at P crosses the y-axis at the point Q.
b) Find the area of triangle OPQ, where O is the origin.
For part b) I don’t understand how they managed to get the area as 34
Can somebody please help me out?
Thank you
(edited 11 months ago)
Original post by MasterMuiz
The curve C'has the equation y =x - 3x^1/2 + 3 and passes through the point P (4, 1).
a) Show that the tangent to C at P passes through the origin.
The normal to C at P crosses the y-axis at the point Q.
b) Find the area of triangle OPQ, where O is the origin.
For part b) I don’t understand how they managed to get the area as 34
Can somebody please help me out?
Thank you
a) Show that the tangent to C at P passes through the origin.
The normal to C at P crosses the y-axis at the point Q.
b) Find the area of triangle OPQ, where O is the origin.
For part b) I don’t understand how they managed to get the area as 34
Can somebody please help me out?
Thank you
What have you tried so far?
Have you drawn a diagram?
Original post by MasterMuiz
The curve C'has the equation y =x - 3x^1/2 + 3 and passes through the point P (4, 1).
a) Show that the tangent to C at P passes through the origin.
The normal to C at P crosses the y-axis at the point Q.
b) Find the area of triangle OPQ, where O is the origin.
For part b) I don’t understand how they managed to get the area as 34
Can somebody please help me out?
Thank you
a) Show that the tangent to C at P passes through the origin.
The normal to C at P crosses the y-axis at the point Q.
b) Find the area of triangle OPQ, where O is the origin.
For part b) I don’t understand how they managed to get the area as 34
Can somebody please help me out?
Thank you
I get 34 with some rough scribbling. What's your normal equation, and what do you get as the coordinates of point Q?
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