Problem 1 :
Find the equations of the tangents to the parabola y^{2} = 5x from the point (5, 13). Also find the points of contact.
Problem 2 :
Prove that the line 5x + 12y = 9 touches the hyperbola x^{2} - 9y^{2} = 9 and find its point of contact.
Problem 3 :
Show that the line x - y + 4 = 0 is a tangent to the ellipse x^{2} + 3y^{2} = 12. Find the co-ordinates of the point of contact.
1) the points of contact are (1/5, 1), (125, 25).
2) point of contact is (5, -4/3).
3) point of contact is (-3, 1).
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM