The number of normals that can be drawn from a point to the hyperbola is
1
2
4
none of these
The equation of the normal at a point on the hyperbola is
As it is drawn from , the condition is
Or
On putting , this equation becomes
Or
Let its roots be
These values given by
correspond to four feet of normals
drawn from
Hence, four normals can be drawn to the hyperbola.
The answer is (c)
Study 40% syllabus and score up to 100% marks in JEE