FIND POINT OF CONTACT OF PARABOLA ELLIPSE AND HYPERBOLA WORKSHEET

Problem 1 :

Find the equations of the tangents to the parabola y² = 5x from the point (5, 13). Also find the points of contact.

Solution

Problem 2 :

Prove that the line 5x + 12y = 9 touches the hyperbola x² - 9y² = 9 and find its point of contact. 

Solution

Problem 3 :

Show that the line x - y + 4 = 0 is a tangent to the ellipse x² + 3y² = 12. Find the co-ordinates of the point of contact.

Solution