## Question

If values of m for which the line touches the hyperbola 16x^{2} – 9y^{2 }= 144 are the roots of the equation x^{2} –(a + b)x – 4 = 0, then value of (a + b) is equal to –

### Solution

**0**

Equation of hyperbola is

Equation of tangent is

⇒ a + b = sum of roots = 0 .

#### SIMILAR QUESTIONS

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