Maths-

General

Easy

Question

# The number of values of c such that st. line y = 4x + c touches the curve is

- 0
- 1
- 2
- infinite.

Hint:

### Equation of ellipse =

## The correct answer is: 2

Equation of ellipse =

, a = 2 and b = 1

Given : straight line equation = y = 4x + c , where m = 4

We know that

General equation of tangent of ellipse (y) =

Substituting the values in above equation

y =

y = comparing with y = 4x + c

Thus, we have 2 values of c i.e.

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