The Equation Of The Common Tangent Touching The Circle (x – 3)2 + y2 = 9 And The Parabola y2 = 4x above The X-axis Is

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Question

 

The equation of the common tangent touching the circle (x – 3)2 + y2 = 9 and the parabola y2 = 4x above the x-axis is

Solution

Correct option is

 

Any tangent to the parabola y2 = 4x is

        

or    m2x – my + 1 = 0                         … (1)

Apply p = r the condition of tangency with given circle (3, 0), 3

       

or   3m2 = 1    

Since the tangent touches the parabola above x-axis it will make an acute angle with x-axis so that  = + ive.

Hence we choose . Put in (1)

 

SIMILAR QUESTIONS

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Q2

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Q3

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Q4

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Q5

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Q6

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Q7

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Q8

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Q9

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Q10

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