Ellipse 2 Question 16

16. The number of values of c such that the straight line y=4x+c touches the curve x24+y2=1 is

(a) 0

(b) 2

(c) 1

(d)

(1998,2M)

Objective Question II

(One or more than one correct option)

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Answer:

Correct Answer: 16. (d)

Solution:

  1. For ellipse, condition of tangency is c2=a2m2+b2

Given line is y=4x+c and curve x24+y2=1

c2=4×42+1=65c=±65

So, there are two different values of C.



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