If Values Of M For Which The Line  touches The Hyperbola 16x2 – 9y2 = 144 Are The Roots Of The Equation X2 –(a + B)x – 4 = 0, Then Value Of (a + B) Is Equal To –

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Question

If values of m for which the line  touches the hyperbola 16x2 – 9y= 144 are the roots of the equation x2 –(a + b)x – 4 = 0, then value of (a + b) is equal to –

Solution

Correct option is

0

Equation of hyperbola is

                  

Equation of tangent is

                 

⇒  a + b = sum of roots = 0 .

SIMILAR QUESTIONS

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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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